statement stringlengths 1 374 | proof stringlengths 0 1.98k | type stringclasses 14
values | symbolic_name stringlengths 1 50 | library stringclasses 1
value | filename stringclasses 3
values | imports listlengths 14 19 | deps listlengths 0 21 | docstring stringclasses 27
values | source_url stringclasses 1
value | commit stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|
imfset_key : unit. | Proof. exact: tt. Qed. | Fact | imfset_key | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"f @` A" | := (f @`[imfset_key] A) : fset_scope. | Notation | f @` A | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"imfset_key"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"f @2` ( A , B )" | := (f @2`[imfset_key] (A, B)) : fset_scope. | Notation | f @2` ( A , B ) | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"imfset_key"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x : T 'in' A ]" | :=
((fun x : T => E) @` A) (only parsing) : fset_scope. | Notation | [ 'fset' E | x : T 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | unary | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
"[ 'fset' E | x 'in' A ]" | :=
[fset E | x : _ in A] (only parsing) : fset_scope. | Notation | [ 'fset' E | x 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x : A ]" | :=
[fset E | x : _ in {: A} ] (only parsing) : fset_scope. | Notation | [ 'fset' E | x : A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' x : T 'in' A ]" | :=
[fset (x : T) | x in A] (only parsing) : fset_scope. | Notation | [ 'fset' x : T 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' x : T 'in' A | P ]" | :=
[fset (x : T) | x in [pred x in A | P]] (only parsing) : fset_scope. | Notation | [ 'fset' x : T 'in' A | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' x 'in' A | P ]" | :=
[fset x : _ in A | P] (only parsing) : fset_scope. | Notation | [ 'fset' x 'in' A | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' x 'in' A ]" | :=
[fset x : _ in A ] (only parsing) : fset_scope. | Notation | [ 'fset' x 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' x : T | P ]" | :=
[fset x in {: T} | P] (only parsing) : fset_scope. | Notation | [ 'fset' x : T | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' x : T | P & Q ]" | :=
[fset x : T | P && Q] (only parsing) : fset_scope. | Notation | [ 'fset' x : T | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' x : T 'in' A | P & Q ]" | :=
[fset x : T in A | P && Q] (only parsing) : fset_scope. | Notation | [ 'fset' x : T 'in' A | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' x 'in' A | P & Q ]" | :=
[fset x in A | P && Q] (only parsing) : fset_scope. | Notation | [ 'fset' x 'in' A | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x : T 'in' A , y : T' 'in' B ]" | :=
((fun (x : T) (y : T') => E) @2` (A, fun x => B)) (only parsing) : fset_scope. | Notation | [ 'fset' E | x : T 'in' A , y : T' 'in' B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | binary | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
"[ 'fset' E | x 'in' A , y 'in' B ]" | :=
[fset E | x : _ in A, y : _ in B] (only parsing) : fset_scope. | Notation | [ 'fset' E | x 'in' A , y 'in' B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x : T 'in' A ]" | :=
((fun x : T => E) @`[key] A) (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x : T 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | keyed parse only | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
"[ 'fset[' key ] E | x 'in' A ]" | :=
[fset[key] E | x : _ in A] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x : A ]" | :=
[fset[key] E | x : _ in {: A} ] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x : A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] x : T 'in' A ]" | :=
[fset[key] (x : T) | x in A] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] x : T 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] x : T 'in' A | P ]" | :=
[fset[key] (x : T) | x in [pred x in A | P]] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] x : T 'in' A | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] x 'in' A | P ]" | :=
[fset[key] x : _ in A | P] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] x 'in' A | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] x 'in' A ]" | :=
[fset[key] x : _ in A ] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] x 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] x : T | P ]" | :=
[fset[key] x in {: T} | P] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] x : T | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] x : T | P & Q ]" | :=
[fset[key] x : T | P && Q] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] x : T | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] x : T 'in' A | P & Q ]" | :=
[fset[key] x : T in A | P && Q] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] x : T 'in' A | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] x 'in' A | P & Q ]" | :=
[fset[key] x in A | P && Q] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] x 'in' A | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x : T 'in' A , y : T' 'in' B ]" | :=
((fun (x : T) (y : T') => E) @2` (A, fun x => B))
(only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x : T 'in' A , y : T' 'in' B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x 'in' A , y 'in' B ]" | :=
[fset[key] E | x : _ in A, y : _ in B] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x 'in' A , y 'in' B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x : A , y : B ]" | :=
[fset[key] E | x : _ in {: A}, y : _ in {: B}] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x : A , y : B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' E | x 'in' A ]" | := [fset[_] E | x in A] : fset_scope. | Notation | [ 'f' 'set' E | x 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | printing only | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
"[ 'f' 'set' E | x : A ]" | := [fset[_] E | x : A] : fset_scope. | Notation | [ 'f' 'set' E | x : A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' x 'in' A | P ]" | := [fset[_] x in A | P] : fset_scope. | Notation | [ 'f' 'set' x 'in' A | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' x 'in' A ]" | := [fset[_] x in A] : fset_scope. | Notation | [ 'f' 'set' x 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' x : T | P ]" | := [fset[_] x : T | P] : fset_scope. | Notation | [ 'f' 'set' x : T | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' x : T | P & Q ]" | := [fset[_] x : T | P & Q] : fset_scope. | Notation | [ 'f' 'set' x : T | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' x 'in' A | P & Q ]" | :=
[fset[_] x in A | P & Q] : fset_scope. | Notation | [ 'f' 'set' x 'in' A | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' E | x 'in' A , y 'in' B ]" | :=
[fset[_] E | x in A, y in B] : fset_scope. | Notation | [ 'f' 'set' E | x 'in' A , y 'in' B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | binary printing only | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
fset0 : {fset K} | :=
@mkFinSet K [::] (introT eqP (@sort_keys_nil K)). | Definition | fset0 | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"sort_keys_nil"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fset1_key : unit. | Proof. exact: tt. Qed. | Fact | fset1_key | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | very transparent, to ensure x \in fset0 is convertible to false | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
fset1 a : {fset K} | := [fset[fset1_key] x in [:: a]]. | Definition | fset1 | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fset1_key"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fsetU_key : unit. | Proof. exact: tt. Qed. | Fact | fsetU_key | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fsetU A B | := [fset[fsetU_key] x in enum_fset A ++ enum_fset B]. | Definition | fsetU | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetU_key"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fsetI_key : unit. | Proof. exact: tt. Qed. | Fact | fsetI_key | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fsetI A B | := [fset[fsetI_key] x in A | x \in B]. | Definition | fsetI | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetI_key"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fsetD_key : unit. | Proof. exact: tt. Qed. | Fact | fsetD_key | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fsetD A B | := [fset[fsetD_key] x in A | x \notin B]. | Definition | fsetD | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetD_key"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fsetM_key : unit. | Proof. exact: tt. Qed. | Fact | fsetM_key | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fsetM A E | := [fset[fsetM_key] (x, y) | x : K in A, y : K' in E]. | Definition | fsetM | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetM_key"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fsubset A B | := fsetI A B == A. | Definition | fsubset | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetI"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fproper A B | := fsubset A B && ~~ fsubset B A. | Definition | fproper | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsubset"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
fdisjoint A B | := (fsetI A B == fset0). | Definition | fdisjoint | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fset0",
"fsetI"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' a ]" | := (fset1 a) : fset_scope. | Notation | [ 'fset' a ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fset1"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' a : T ]" | := [fset (a : T)] : fset_scope. | Notation | [ 'fset' a : T ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"A `|` B" | := (fsetU A B) : fset_scope. | Notation | A `|` B | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetU"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"a |` A" | := ([fset a] `|` A) : fset_scope. | Notation | a |` A | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' a1 ; a2 ; .. ; an ]" | :=
(fsetU .. (a1 |` [fset a2]) .. [fset an]) : fset_scope. | Notation | [ 'fset' a1 ; a2 ; .. ; an ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetU"
] | This is left-associative due to historical limitations of the .. Notation. | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
"A `&` B" | := (fsetI A B) : fset_scope. | Notation | A `&` B | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetI"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"A `*` B" | := (fsetM A B) : fset_scope. | Notation | A `*` B | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetM"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"A `\` B" | := (fsetD A B) : fset_scope. | Notation | A `\` B | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsetD"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"A `\ a" | := (A `\` [fset a]) : fset_scope. | Notation | A `\ a | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"A `<=` B" | := (fsubset A B) : fset_scope. | Notation | A `<=` B | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fsubset"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"A `<` B" | := (fproper A B) : fset_scope. | Notation | A `<` B | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fproper"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'disjoint' A & B ]" | := (fdisjoint A B) : fset_scope. | Notation | [ 'disjoint' A & B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [
"fdisjoint"
] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x 'in' A & P ]" | :=
[fset E | x in [pred x in A | P]] (only parsing) : fset_scope. | Notation | [ 'fset' E | x 'in' A & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | Comprehensions | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
"[ 'fset' E | x : A & P ]" | :=
[fset E | x in {: A} & P] (only parsing) : fset_scope. | Notation | [ 'fset' E | x : A & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x : A , y 'in' B ]" | :=
[fset E | x in {: A}, y in B] (only parsing) : fset_scope. | Notation | [ 'fset' E | x : A , y 'in' B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x 'in' A , y : B ]" | :=
[fset E | x in A, y in {: B}] (only parsing) : fset_scope. | Notation | [ 'fset' E | x 'in' A , y : B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x : A , y : B ]" | :=
[fset E | x in {: A}, y in {: B}] (only parsing) : fset_scope. | Notation | [ 'fset' E | x : A , y : B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x 'in' A , y 'in' B & P ]" | :=
[fset E | x in A, y in [pred y in B | P]] (only parsing) : fset_scope. | Notation | [ 'fset' E | x 'in' A , y 'in' B & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x : A , y 'in' B & P ]" | :=
[fset E | x in {: A}, y in B & P] (only parsing) : fset_scope. | Notation | [ 'fset' E | x : A , y 'in' B & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x 'in' A , y : B & P ]" | :=
[fset E | x in A, y in {: B} & P] (only parsing) : fset_scope. | Notation | [ 'fset' E | x 'in' A , y : B & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset' E | x : A , y : B & P ]" | :=
[fset E | x in {: A}, y in {: B} & P] (only parsing) : fset_scope. | Notation | [ 'fset' E | x : A , y : B & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval' x 'in' A ]" | :=
[fset val x | x in A] (only parsing) : fset_scope. | Notation | [ 'fsetval' x 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval' x 'in' A | P ]" | :=
[fset val x | x in A & P] (only parsing) : fset_scope. | Notation | [ 'fsetval' x 'in' A | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval' x 'in' A | P & Q ]" | :=
[fsetval x in A | (P && Q)] (only parsing) : fset_scope. | Notation | [ 'fsetval' x 'in' A | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval' x : A ]" | :=
[fset val x | x in {: A}] (only parsing) : fset_scope. | Notation | [ 'fsetval' x : A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval' x : A | P ]" | :=
[fset val x | x in {: A} & P] (only parsing) : fset_scope. | Notation | [ 'fsetval' x : A | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval' x : A | P & Q ]" | :=
[fsetval x in {: A} | (P && Q)] (only parsing) : fset_scope. | Notation | [ 'fsetval' x : A | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x 'in' A & P ]" | :=
[fset[key] E | x in [pred x in A | P]] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x 'in' A & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | keyed parse only | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
"[ 'fset[' key ] E | x : A & P ]" | :=
[fset[key] E | x in {: A} & P] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x : A & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x : A , y 'in' B ]" | :=
[fset[key] E | x in {: A}, y in B] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x : A , y 'in' B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x 'in' A , y : B ]" | :=
[fset[key] E | x in A, y in {: B}] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x 'in' A , y : B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x : A , y : B ]" | :=
[fset[key] E | x in {: A}, y in {: B}] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x : A , y : B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x 'in' A , y 'in' B & P ]" | :=
[fset[key] E | x in A, y in [pred y in B | P]] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x 'in' A , y 'in' B & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x : A , y 'in' B & P ]" | :=
[fset[key] E | x in {: A}, y in B & P] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x : A , y 'in' B & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x 'in' A , y : B & P ]" | :=
[fset[key] E | x in A, y in {: B} & P] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x 'in' A , y : B & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fset[' key ] E | x : A , y : B & P ]" | :=
[fset[key] E | x in {: A}, y in {: B} & P] (only parsing) : fset_scope. | Notation | [ 'fset[' key ] E | x : A , y : B & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval[' key ] x 'in' A ]" | :=
[fset[key] val x | x in A] (only parsing) : fset_scope. | Notation | [ 'fsetval[' key ] x 'in' A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval[' key ] x 'in' A | P ]" | :=
[fset[key] val x | x in A & P] (only parsing) : fset_scope. | Notation | [ 'fsetval[' key ] x 'in' A | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval[' key ] x 'in' A | P & Q ]" | :=
[fsetval[key] x in A | (P && Q)] (only parsing) : fset_scope. | Notation | [ 'fsetval[' key ] x 'in' A | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval[' key ] x : A ]" | :=
[fset[key] val x | x in {: A}] (only parsing) : fset_scope. | Notation | [ 'fsetval[' key ] x : A ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval[' key ] x : A | P ]" | :=
[fset[key] val x | x in {: A} & P] (only parsing) : fset_scope. | Notation | [ 'fsetval[' key ] x : A | P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'fsetval[' key ] x : A | P & Q ]" | :=
[fsetval[key] x in {: A} | (P && Q)] (only parsing) : fset_scope. | Notation | [ 'fsetval[' key ] x : A | P & Q ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' E | x 'in' A & P ]" | :=
[fset[_] E | x in A & P] : fset_scope. | Notation | [ 'f' 'set' E | x 'in' A & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | Print-only variants to work around the Coq pretty-printer K-term kink. | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
"[ 'f' 'set' E | x : A & P ]" | := [fset[_] E | x : A & P] : fset_scope. | Notation | [ 'f' 'set' E | x : A & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' E | x : A , y 'in' B ]" | :=
[fset[_] E | x : A, y in B] : fset_scope. | Notation | [ 'f' 'set' E | x : A , y 'in' B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' E | x 'in' A , y : B ]" | :=
[fset[_] E | x in A, y : B] : fset_scope. | Notation | [ 'f' 'set' E | x 'in' A , y : B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' E | x : A , y : B ]" | :=
[fset[_] E | x : A, y : B] : fset_scope. | Notation | [ 'f' 'set' E | x : A , y : B ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 | |
"[ 'f' 'set' E | x 'in' A , y 'in' B & P ]" | :=
[fset[_] E | x in A, y in B & P] : fset_scope. | Notation | [ 'f' 'set' E | x 'in' A , y 'in' B & P ] | Root | finmap.v | [
"Corelib",
"Setoid",
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrbool",
"ssrnat",
"eqtype",
"ssrfun",
"seq",
"choice",
"finset",
"finfun",
"fintype",
"bigop",
"Prenex",
"Implicits",
"Monoid"
] | [] | https://github.com/math-comp/finmap | 53239c7997b1143592d7814ec51a0e3404844b54 |
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