Proof Assistant Projects
Collection
Digesting proof assistant libraries for AI ingestion. • 103 items • Updated • 3
Datasets:
statement stringlengths 1 44.9k | proof stringlengths 0 114k | type stringclasses 26
values | symbolic_name stringlengths 1 82 | library stringclasses 153
values | filename stringlengths 13 83 | imports listlengths 0 0 | deps listlengths 0 64 | docstring stringclasses 1
value | source_url stringclasses 1
value | commit stringclasses 1
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T | =
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X12 | X13 | X14 | X15 | X16 | X17 | X18 | X19 | X20 | X21 |
X22 | X23 | X24 | X25 | X26 | X27 | X28 | X29 | X30 | X31 |
X32 | X33 | X34 | datatype | T | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Brackin.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
('a, 'b, 'c) TY1 =
NoF
| Fk 'a "('a, 'b, 'c) TY2"
and ('a, 'b, 'c) TY2 =
Ta bool
| Td bool
| Tf "('a, 'b, 'c) TY1"
| Tk bool
| Tp bool
| App 'a "('a, 'b, 'c) TY1" "('a, 'b, 'c) TY2" "('a, 'b, 'c) TY3"
| Pair "('a, 'b, 'c) TY2" "('a, 'b, 'c) TY2"
and ('a, 'b, 'c) TY3 =
NoS
... | datatype | TY1 | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Brackin.thy | [] | [
"And",
"App",
"Pair",
"and",
"bool"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'l) lab =
Lab "('f, 'l) lab" 'l
| FunLab "('f, 'l) lab" "('f, 'l) lab list"
| UnLab 'f
| Sharp "('f, 'l) lab" | datatype | lab | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) 'f projL = Projection "(('f \<times> nat) \<times> nat) list" | datatype | projL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'v) "term" = Var 'v | Fun 'f "('f, 'v) term list" | datatype | term | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"Fun",
"Var",
"list"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'v) ctxt =
Hole ("\<box>")
| More 'f "('f, 'v) term list" "('f, 'v) ctxt" "('f, 'v) term list" | datatype | ctxt | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"box",
"list",
"term"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v) rule = "('f, 'v) term \<times> ('f, 'v) term" | type_synonym | rule | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"term",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v) trs = "('f, 'v) rule set" | type_synonym | trs | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"rule",
"set"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v) rules = "('f, 'v) rule list" | type_synonym | rules | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"rule"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v) ruleLL = "(('f, 'l) lab, 'v) rule" | type_synonym | ruleLL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"lab",
"rule"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v) trsLL = "(('f, 'l) lab, 'v) rules" | type_synonym | trsLL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"lab",
"rules"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v) termsLL = "(('f, 'l) lab, 'v) term list" | type_synonym | termsLL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"lab",
"list",
"term"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) pos = Empty ("\<epsilon>") | PCons "nat" "pos" (infixr "<#" 70) | datatype | pos | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"Empty",
"epsilon",
"infixr",
"nat"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v) prseq = "(pos \<times> ('f, 'v) rule \<times> bool \<times> ('f, 'v) term) list" | type_synonym | prseq | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"bool",
"list",
"pos",
"rule",
"term",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v) rseq = "(pos \<times> ('f, 'v) rule \<times> ('f, 'v) term) list" | type_synonym | rseq | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"pos",
"rule",
"term",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v) rseqL = "((('f, 'l) lab, 'v) rule \<times> (('f, 'l) lab, 'v) rseq) list" | type_synonym | rseqL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"lab",
"list",
"rseq",
"rule",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v) dppLL =
"bool \<times> bool \<times> ('f, 'l, 'v) trsLL \<times> ('f, 'l, 'v) trsLL \<times>
('f, 'l, 'v) termsLL \<times>
('f, 'l, 'v) trsLL \<times> ('f, 'l, 'v) trsLL" | type_synonym | dppLL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"bool",
"termsLL",
"times",
"trsLL"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v) qreltrsLL =
"bool \<times> ('f, 'l, 'v) termsLL \<times> ('f, 'l, 'v) trsLL \<times> ('f, 'l, 'v) trsLL" | type_synonym | qreltrsLL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"bool",
"termsLL",
"times",
"trsLL"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v) qtrsLL =
"bool \<times> ('f, 'l, 'v) termsLL \<times> ('f, 'l, 'v) trsLL" | type_synonym | qtrsLL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"bool",
"termsLL",
"times",
"trsLL"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) location = H | A | B | R | datatype | location | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v) forb_pattern = "('f, 'v) ctxt \<times> ('f, 'v) term \<times> location" | type_synonym | forb_pattern | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"ctxt",
"location",
"term",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v) forb_patterns = "('f, 'v) forb_pattern set" | type_synonym | forb_patterns | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"forb_pattern",
"set"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v) fptrsLL =
"(('f, 'l) lab, 'v) forb_pattern list \<times> ('f, 'l, 'v) trsLL" | type_synonym | fptrsLL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"forb_pattern",
"lab",
"list",
"times",
"trsLL"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v) prob = "('f, 'l, 'v) qreltrsLL + ('f, 'l, 'v) dppLL" | type_synonym | prob | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"dppLL",
"qreltrsLL"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'a) lpoly_inter = "'f \<times> nat \<Rightarrow> ('a \<times> 'a list)" | type_synonym | lpoly_inter | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'a) lpoly_interL = "(('f \<times> nat) \<times> ('a \<times> 'a list)) list" | type_synonym | lpoly_interL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
'v monom | = "('v \<times> nat) list" | type_synonym | monom | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
('v, 'a) poly = "('v monom \<times> 'a) list" | type_synonym | poly | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"monom",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'a) poly_inter_list = "(('f \<times> nat) \<times> (nat, 'a) poly) list" | type_synonym | poly_inter_list | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat",
"poly",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
'a vec | = "'a list" | type_synonym | vec | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
'a mat | = "'a vec list" | type_synonym | mat | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"vec"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
(discs_sels) arctic = MinInfty | Num_arc int | datatype | arctic | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"int"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) 'a arctic_delta = MinInfty_delta | Num_arc_delta 'a | datatype | arctic_delta | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) order_tag = Lex | Mul | datatype | order_tag | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
'f status_prec_repr | = "(('f \<times> nat) \<times> (nat \<times> order_tag)) list" | type_synonym | status_prec_repr | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat",
"order_tag",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
(discs_sels) af_entry =
Collapse nat
| AFList "nat list" | datatype | af_entry | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
'f afs_list | = "(('f \<times> nat) \<times> af_entry) list" | type_synonym | afs_list | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"af_entry",
"list",
"nat",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
'f prec_weight_repr | = "(('f \<times> nat) \<times> (nat \<times> nat \<times> (nat list option))) list \<times> nat" | type_synonym | prec_weight_repr | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat",
"option",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
(discs_sels) 'f redtriple_impl =
Int_carrier "('f, int) lpoly_interL"
| Int_nl_carrier "('f, int) poly_inter_list"
| Rat_carrier "('f, rat) lpoly_interL"
| Rat_nl_carrier rat "('f, rat) poly_inter_list"
| Real_carrier "('f, real) lpoly_interL"
| Real_nl_carrier real "('f, real) poly_inter_list"
| Arctic... | datatype | redtriple_impl | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"afs_list",
"arctic",
"arctic_delta",
"int",
"lpoly_interL",
"mat",
"nat",
"poly_inter_list",
"prec_weight_repr",
"rat",
"real",
"status_prec_repr"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) list_order_type = MS_Ext | Max_Ext | Min_Ext | Dms_Ext | datatype | list_order_type | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
'f scnp_af | = "(('f \<times> nat) \<times> (nat \<times> nat) list) list" | type_synonym | scnp_af | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
(discs_sels) 'f root_redtriple_impl = SCNP list_order_type "'f scnp_af" "'f redtriple_impl" | datatype | root_redtriple_impl | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list_order_type",
"redtriple_impl",
"scnp_af"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
'f sig_map_list | = "(('f \<times> nat) \<times> 'f list) list" | type_synonym | sig_map_list | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"nat",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
('f, 'v) uncurry_info = "'f \<times> 'f sig_map_list \<times> ('f, 'v) rules \<times> ('f, 'v) rules" | type_synonym | uncurry_info | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"rules",
"sig_map_list",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) arithFun =
Arg nat
| Const nat
| Sum "arithFun list"
| Max "arithFun list"
| Min "arithFun list"
| Prod "arithFun list"
| IfEqual arithFun arithFun arithFun arithFun | datatype | arithFun | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"Arg",
"Const",
"Min",
"Prod",
"Sum",
"list",
"nat"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) 'f sl_inter = SL_Inter nat "(('f \<times> nat) \<times> arithFun) list" | datatype | sl_inter | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"arithFun",
"list",
"nat",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'v) sl_variant =
Rootlab "('f \<times> nat) option"
| Finitelab "'f sl_inter"
| QuasiFinitelab "'f sl_inter" 'v | datatype | sl_variant | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"nat",
"option",
"sl_inter",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v) crit_pair_joins = "(('f, 'v) term \<times> ('f, 'v) rseq \<times> ('f, 'v) term \<times> ('f, 'v) rseq) list" | type_synonym | crit_pair_joins | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"rseq",
"term",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) 'f join_info = Guided "('f, string) crit_pair_joins" | Join_NF | Join_BFS nat | datatype | join_info | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"crit_pair_joins",
"nat",
"string"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
unknown_info | = string | type_synonym | unknown_info | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"string"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
dummy_prf | = unit | type_synonym | dummy_prf | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"unit"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
(discs_sels) ('f, 'v) complex_constant_removal_prf = Complex_Constant_Removal_Proof
"('f, 'v) term"
"(('f, 'v) rule \<times> ('f, 'v) rule) list" | datatype | complex_constant_removal_prf | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"rule",
"term",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'v) cond_constraint =
CC_cond bool "('f, 'v) rule"
| CC_rewr "('f, 'v) term" "('f, 'v) term"
| CC_impl "('f, 'v) cond_constraint list" "('f, 'v) cond_constraint"
| CC_all 'v "('f, 'v) cond_constraint" | datatype | cond_constraint | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"bool",
"list",
"rule",
"term"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v, 'w) gsubstL = "('v \<times> ('f, 'w) term) list" | type_synonym | gsubstL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"term",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'v) substL = "('f, 'v, 'v) gsubstL" | type_synonym | substL | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"gsubstL"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'v) cond_constraint_prf =
Final
| Delete_Condition "('f, 'v) cond_constraint" "('f, 'v) cond_constraint_prf"
| Different_Constructor "('f, 'v) cond_constraint"
| Same_Constructor "('f, 'v) cond_constraint" "('f, 'v) cond_constraint" "('f, 'v) cond_constraint_prf"
| Variable_Equation 'v "('... | datatype | cond_constraint_prf | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"cond_constraint",
"list",
"nat",
"rule",
"substL",
"term",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'v) cond_red_pair_prf =
Cond_Red_Pair_Prf
'f "(('f, 'v) cond_constraint \<times> ('f, 'v) rules \<times> ('f, 'v) cond_constraint_prf) list" nat nat | datatype | cond_red_pair_prf | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"cond_constraint",
"cond_constraint_prf",
"list",
"nat",
"rules",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('q, 'f) ta_rule = TA_rule 'f "'q list" 'q ("_ _ \<rightarrow> _") | datatype | ta_rule | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('q, 'f) tree_automaton = Tree_Automaton "'q list" "('q, 'f) ta_rule list" "('q \<times> 'q) list" | datatype | tree_automaton | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"ta_rule",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) 'q ta_relation =
Decision_Proc
| Id_Relation
| Some_Relation "('q \<times> 'q) list" | datatype | ta_relation | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"list",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) boundstype = Roof | Match | datatype | boundstype | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'q) bounds_info = Bounds_Info boundstype nat "'q list" "('q, 'f \<times> nat) tree_automaton" "'q ta_relation" | datatype | bounds_info | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"boundstype",
"list",
"nat",
"ta_relation",
"times",
"tree_automaton"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'v) pat_eqv_prf =
Pat_Dom_Renaming "('f, 'v) substL"
| Pat_Irrelevant "('f, 'v) substL" "('f, 'v) substL"
| Pat_Simplify "('f, 'v) substL" "('f, 'v) substL" | datatype | pat_eqv_prf | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"substL"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) pat_rule_pos = Pat_Base | Pat_Pump | Pat_Close | datatype | pat_rule_pos | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'v) pat_rule_prf =
Pat_OrigRule "('f, 'v) rule" bool
| Pat_InitPump "('f, 'v) pat_rule_prf" "('f, 'v) substL" "('f, 'v) substL"
| Pat_InitPumpCtxt "('f, 'v) pat_rule_prf" "('f, 'v) substL" pos 'v
| Pat_Equiv "('f, 'v) pat_rule_prf" bool "('f, 'v) pat_eqv_prf"
| Pat_Narrow "('f, 'v) pat_rul... | datatype | pat_rule_prf | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"bool",
"nat",
"pat_eqv_prf",
"pat_rule_pos",
"pos",
"rseq",
"rule",
"substL",
"term",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'v) non_loop_prf =
Non_Loop_Prf "('f, 'v) pat_rule_prf" "('f, 'v) substL" "('f, 'v) substL" nat nat pos | datatype | non_loop_prf | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"nat",
"pat_rule_prf",
"pos",
"substL"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'l, 'v) problem =
SN_TRS "('f, 'l, 'v) qreltrsLL"
| SN_FP_TRS "('f, 'l, 'v) fptrsLL"
| Finite_DPP "('f, 'l, 'v) dppLL"
| Unknown_Problem unknown_info
| Not_SN_TRS "('f, 'l, 'v) qtrsLL"
| Not_RelSN_TRS "('f, 'l, 'v) qreltrsLL"
| Infinite_DPP "('f, 'l, 'v) dppLL"
| Not_SN_FP_TRS "('f, ... | datatype | problem | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"dppLL",
"fptrsLL",
"qreltrsLL",
"qtrsLL",
"unknown_info"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'l, 'v, 'a, 'b, 'c, 'd, 'e) generic_assm_proof =
SN_assm_proof "('f, 'l, 'v) qreltrsLL" 'a
| Finite_assm_proof "('f, 'l, 'v) dppLL" 'b
| SN_FP_assm_proof "('f, 'l, 'v) fptrsLL" 'c
| Not_SN_assm_proof "('f, 'l, 'v) qtrsLL" 'a
| Infinite_assm_proof "('f, 'l, 'v) dppLL" 'b
| Not_RelSN_assm_... | datatype | generic_assm_proof | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"dppLL",
"fptrsLL",
"qreltrsLL",
"qtrsLL",
"unknown_info"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('f, 'l, 'v, 'a, 'b, 'c, 'd) assm_proof = "('f, 'l, 'v, 'a, 'b, 'c, dummy_prf, 'd) generic_assm_proof" | type_synonym | assm_proof | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"dummy_prf",
"generic_assm_proof"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'l, 'v) assm =
SN_assm "('f, 'l, 'v) problem list" "('f, 'l, 'v) qreltrsLL"
| SN_FP_assm "('f, 'l, 'v) problem list" "('f, 'l, 'v) fptrsLL"
| Finite_assm "('f, 'l, 'v) problem list" "('f, 'l, 'v) dppLL"
| Unknown_assm "('f, 'l, 'v) problem list" unknown_info
| Not_SN_assm "('f, 'l, 'v) pro... | datatype | assm | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"dppLL",
"fptrsLL",
"list",
"problem",
"qreltrsLL",
"qtrsLL",
"unknown_info"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
satisfied :: "('f, 'l, 'v) problem \<Rightarrow> bool" | where
"satisfied (SN_TRS t) = (t = t)"
| "satisfied (SN_FP_TRS t) = (t \<noteq> t)"
| "satisfied (Finite_DPP d) = (d \<noteq> d)"
| "satisfied (Unknown_Problem s) = (s = ''foo'')"
| "satisfied (Not_SN_TRS (nfs, q, r)) = (length q = length r)"
| "satisfied (Not_RelSN_TRS (nfs, q, r, rw)) = (r = rw)"
| "satisfied (Infi... | fun | satisfied | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"bool",
"length",
"noteq",
"problem",
"where"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
collect_assms :: "('tp \<Rightarrow> ('f, 'l, 'v) assm list)
\<Rightarrow> ('dpp \<Rightarrow> ('f, 'l, 'v) assm list)
\<Rightarrow> ('fptp \<Rightarrow> ('f, 'l, 'v) assm list)
\<Rightarrow> ('unk \<Rightarrow> ('f, 'l, 'v) assm list)
\<Rightarrow> ('f, 'l, 'v, 'tp, 'dpp, 'fptp, 'unk) assm_proof \<Rightarrow> ... | where
"collect_assms tp dpp fptp unk (SN_assm_proof t prf) = tp prf"
| "collect_assms tp dpp fptp unk (SN_FP_assm_proof t prf) = fptp prf"
| "collect_assms tp dpp fptp unk (Finite_assm_proof d prf) = dpp prf"
| "collect_assms tp dpp fptp unk (Unknown_assm_proof p prf) = unk prf"
| "collect_assms _ _ _ _ _ = []" | fun | collect_assms | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"assm",
"assm_proof",
"list",
"where"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
collect_neg_assms :: "('tp \<Rightarrow> ('f, 'l, 'v) assm list)
\<Rightarrow> ('dpp \<Rightarrow> ('f, 'l, 'v) assm list)
\<Rightarrow> ('rtp \<Rightarrow> ('f, 'l, 'v) assm list)
\<Rightarrow> ('fptp \<Rightarrow> ('f, 'l, 'v) assm list)
\<Rightarrow> ('unk \<Rightarrow> ('f, 'l, 'v) assm list)
\<Rightarrow... | where
"collect_neg_assms tp dpp rtp fptp unk (Not_SN_assm_proof t prf) = tp prf"
| "collect_neg_assms tp dpp rtp fptp unk (Infinite_assm_proof d prf) = dpp prf"
| "collect_neg_assms tp dpp rtp fptp unk (Not_RelSN_assm_proof t prf) = rtp prf"
| "collect_neg_assms tp dpp rtp fptp unk (Not_SN_FP_assm_proof t prf) = fptp... | fun | collect_neg_assms | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"assm",
"generic_assm_proof",
"list",
"where"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
(discs_sels) ('f, 'l, 'v) dp_nontermination_proof =
DP_Loop "(('f, 'l) lab, 'v) term" "(('f, 'l) lab, 'v) prseq" "(('f, 'l) lab, 'v) substL" "(('f, 'l) lab, 'v) ctxt"
| DP_Nonloop "(('f, 'l) lab, 'v) non_loop_prf"
| DP_Rule_Removal "('f, 'l, 'v) trsLL option" "('f, 'l, 'v) trsLL option" "('f, 'l, 'v) dp_nonterm... | datatype | dp_nontermination_proof | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"and",
"ctxt",
"dppLL",
"fptrsLL",
"generic_assm_proof",
"join_info",
"lab",
"list",
"non_loop_prf",
"option",
"pos",
"prseq",
"qreltrsLL",
"qtrsLL",
"rseq",
"rule",
"ruleLL",
"substL",
"term",
"termsLL",
"trsLL",
"unknown_info"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(discs_sels) ('f, 'l, 'v) dp_termination_proof =
P_is_Empty
| Subterm_Criterion_Proc "('f, 'l) lab projL" "('f, 'l, 'v) rseqL"
"('f, 'l, 'v) trsLL" "('f, 'l, 'v) dp_termination_proof"
| Redpair_Proc "('f, 'l) lab root_redtriple_impl + ('f, 'l) lab redtriple_impl" "('f, 'l, 'v) trsLL" "('f, 'l, 'v) dp_ter... | datatype | dp_termination_proof | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/IsaFoR.thy | [] | [
"Split",
"and",
"assm_proof",
"bool",
"bounds_info",
"complex_constant_removal_prf",
"cond_red_pair_prf",
"ctxt",
"dppLL",
"fptrsLL",
"join_info",
"lab",
"list",
"nat",
"option",
"pos",
"projL",
"qreltrsLL",
"redtriple_impl",
"root_redtriple_impl",
"rseqL",
"rule",
"ruleL... | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
misc | locale | misc | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
'a li | = Ni | Co 'a "'a li" | datatype | li | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
'a tr | = Tr "'a \<Rightarrow> 'a tr li" | datatype | tr | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"li"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
(nonexhaustive)
f_tl :: "'a \<Rightarrow> 'a tr li \<Rightarrow> nat" and
f_t :: "'a \<Rightarrow> 'a tr \<Rightarrow> nat" | where
"f_tl _ Ni = 0" |
"f_t a (Tr ts) = 1 + f_tl a (ts a)" | primrec | f_tl | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"and",
"li",
"nat",
"tr",
"where"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
('a, 'b) l = N | C 'a 'b "('a, 'b) l" | datatype | l | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
('a, 'b) t = T "(('a, 'b) t, 'a) l" "(('a, 'b) t, 'b) l" | datatype | t | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
(nonexhaustive)
f_tl2 :: "(('a, 'a) t, 'a) l \<Rightarrow> nat" and
f_t2 :: "('a, 'a) t \<Rightarrow> nat" | where
"f_tl2 N = 0" |
"f_t2 (T ts us) = f_tl2 ts + f_tl2 us" | primrec | f_tl2 | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"and",
"nat",
"where"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
(nonexhaustive)
g_tla :: "(('a, 'b) t, 'a) l \<Rightarrow> nat" and
g_tlb :: "(('a, 'b) t, 'b) l \<Rightarrow> nat" and
g_t :: "('a, 'b) t \<Rightarrow> nat" | where
"g_tla N = 0" |
"g_tlb N = 1" |
"g_t (T ts us) = g_tla ts + g_tlb us" | primrec | g_tla | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"and",
"nat",
"where"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
'a l1 | = N1 | C1 'a "'a l1" | datatype | l1 | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
('a, 'b) t1 = T1 'a 'b "('a, 'b) t1 l1" "(nat \<times> ('a, 'b) t1) l1" and
('a, 'b) t2 = T2 "('a, 'b) t1" | datatype | t1 | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"T1",
"T2",
"and",
"l1",
"nat",
"t2",
"times"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
h1_tl1 :: "(nat, 'a) t1 l1 \<Rightarrow> nat" and
h1_natl1 :: "(nat \<times> (nat, 'a) t1) l1 \<Rightarrow> nat" and
h1_t1 :: "(nat, 'a) t1 \<Rightarrow> nat" | where
"h1_tl1 N1 = 0" |
"h1_tl1 (C1 t ts) = h1_t1 t + h1_tl1 ts" |
"h1_natl1 N1 = Suc 0" |
"h1_natl1 (C1 n ts) = fst n + h1_natl1 ts" |
"h1_t1 (T1 n _ ts _) = n + h1_tl1 ts" | primrec | h1_tl1 | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"Suc",
"T1",
"and",
"fst",
"l1",
"nat",
"t1",
"times",
"where"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
(*co*)mplicated | locale | mplicated | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
'a M | = CM "('a, 'a M) M0" | datatype | M | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
'a N | = CN "('a N, 'a) N0" | datatype | N | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
('a, 'b) K = CK "('a, ('a, 'b) L) K0"
and ('a, 'b) L = CL "('b, ('a, 'b) K) L0" | datatype | K | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"CL",
"L0",
"and"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
'a G | = CG "('a, ('a G, 'a G N) K, ('a G M, 'a G) L) G0" | datatype | G | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
fG :: "'a G \<Rightarrow> 'a G"
and fK :: "('a G, 'a G N) K \<Rightarrow> ('a G, 'a G N) K"
and fL :: "('a G, 'a G N) L \<Rightarrow> ('a G, 'a G N) L"
and fM :: "'a G M \<Rightarrow> 'a G M" | where
"fG (CG x) = CG (map_G0 id fK (map_L fM fG) x)"
| "fK (CK y) = CK (map_K0 fG fL y)"
| "fL (CL z) = CL (map_L0 (map_N fG) fK z)"
| "fM (CM w) = CM (map_M0 fG fM w)"
thm fG_def fK_def fL_def fM_def fG.simps fK.simps fL.simps fM.simps | primrec | fG | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"CL",
"and",
"id",
"where"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
complicated | locale | complicated | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
fG :: "'a G \<Rightarrow> 'a G"
and fK :: "('a G, 'a G N) K \<Rightarrow> ('a G, 'a G N) K"
and fL :: "('a G, 'a G N) L \<Rightarrow> ('a G, 'a G N) L"
and fM :: "'a G M \<Rightarrow> 'a G M" | where
"fG x = CG (map_G0 id fK (map_L fM fG) (un_CG x))"
| "fK y = CK (map_K0 fG fL (un_CK y))"
| "fL z = CL (map_L0 (map_N fG) fK (un_CL z))"
| "fM w = CM (map_M0 fG fM (un_CM w))"
thm fG_def fK_def fL_def fM_def fG.simps fK.simps fL.simps fM.simps | primcorec | fG | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"CL",
"and",
"id",
"where"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
('a, 'b) F1 = F1 'a 'b | datatype | F1 | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | ||
F2 | = F2 "((unit, nat) F1, F2) F1" | F2' | datatype | F2 | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"F1",
"nat",
"unit"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
'a kk1 | = K1 'a | K2 "'a kk2" and 'a kk2 = K3 "'a kk1" | datatype | kk1 | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"and"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
'a ll1 | = L1 'a | L2 "'a ll2 kk2" and 'a ll2 = L3 "'a ll1"
datatype_compat F1
datatype_compat F2
datatype_compat kk1 kk2
datatype_compat ll1 ll2 | datatype | ll1 | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"F1",
"F2",
"L1",
"L2",
"and",
"kk1"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
'a tree | = Empty | Node 'a "'a tree list"
datatype_compat tree | datatype | tree | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"Empty",
"Node",
"list"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 | |
'a ttree | = TEmpty | TNode 'a "'a ttree list tree"
datatype_compat ttree | datatype | ttree | Benchmarks.Datatype_Benchmark | src/Benchmarks/Datatype_Benchmark/Misc_N2M.thy | [] | [
"list",
"tree"
] | https://github.com/isabelle-prover/mirror-isabelle | acb41fc3ab1760eee1b9ed0edd0df566941bf513 |
End of preview. Expand in Data Studio
Isabelle-Stdlib
Structured dataset from the Isabelle/HOL standard library - core theories and analysis.
Source
- Repository: https://github.com/isabelle-prover/mirror-isabelle
- Commit:
acb41fc3ab1760eee1b9ed0edd0df566941bf513 - Files: 1850
- License: bsd-3-clause
Schema
| Column | Type | Description |
|---|---|---|
| statement | string | Declaration signature/claim with the leading keyword removed (verbatim slice); the full declaration minus its proof |
| proof | string | Verbatim proof/body, empty if the declaration has none |
| type | string | Declaration keyword |
| symbolic_name | string | Declaration identifier |
| library | string | Sub-library |
| filename | string | Repository-relative source path |
| imports | list[string] | File-level Require/Import modules |
| deps | list[string] | Intra-corpus identifiers referenced |
| docstring | string | Preceding documentation comment, empty if absent |
| source_url | string | Upstream repository |
| commit | string | Upstream commit extracted |
Statistics
- Entries: 88,720
- With proof: 83,596 (94.2%)
- With docstring: 0 (0.0%)
- Libraries: 153
By type
| Type | Count |
|---|---|
| lemma | 70,586 |
| definition | 6,941 |
| theorem | 1,357 |
| fun | 1,000 |
| abbreviation | 998 |
| instance | 847 |
| primrec | 728 |
| instantiation | 703 |
| corollary | 676 |
| datatype | 591 |
| proposition | 566 |
| lift_definition | 552 |
| locale | 510 |
| schematic_goal | 490 |
| inductive | 430 |
| type_synonym | 371 |
| class | 349 |
| consts | 281 |
| axiomatization | 226 |
| inductive_set | 145 |
| function | 117 |
| primcorec | 115 |
| record | 98 |
| coinductive | 16 |
| termination | 15 |
| partial_function | 12 |
Example
T
=
X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | X9 | X10 | X11 |
X12 | X13 | X14 | X15 | X16 | X17 | X18 | X19 | X20 | X21 |
X22 | X23 | X24 | X25 | X26 | X27 | X28 | X29 | X30 | X31 |
X32 | X33 | X34
- type: datatype | symbolic_name:
T| src/Benchmarks/Datatype_Benchmark/Brackin.thy
Use
Each declaration is split into a statement (signature/claim) and a proof (body) that are disjoint
and together form the complete declaration, for proof modeling, autoformalization, retrieval, and
dependency analysis via deps.
Citation
@misc{isabelle_stdlib_dataset,
title = {Isabelle-Stdlib},
author = {Norton, Charles},
year = {2026},
note = {Extracted from https://github.com/isabelle-prover/mirror-isabelle, commit acb41fc3ab17},
url = {https://huggingface.co/datasets/phanerozoic/Isabelle-Stdlib}
}
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