package coq-core

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The Coq Proof Assistant -- Core Binaries and Tools

Install

Dune Dependency

coq.inria.fr Readme Edit opam file Versions (9)

Authors

T

The Coq development team, INRIA, CNRS, and contributors

Maintainers

T

The Coq development team <coqdev@inria.fr>

Sources

coq-8.19.0.tar.gz

md5=64b49dbc3205477bd7517642c0b9cbb6

sha512=02fb5b4fb575af79e092492cbec6dc0d15a1d74a07f827f657a72d4e6066532630e5a6d15be4acdb73314bd40b9a321f9ea0584e0ccfe51fd3a56353bd30db9b

doc/cc_plugin/Cc_plugin/Ccproof/index.html

Module `Cc_plugin.Ccproof`Source

Sourcetype rule =

| Ax of Ccalgo.axiom
(*
if ⊢ t = u :: A, then ⊢ t = u :: A
*)
| SymAx of Ccalgo.axiom
(*
if ⊢ t = u : A, then ⊢ u = t :: A
*)
| Refl of Ccalgo.ATerm.t
| Trans of proof * proof
(*
⊢ t = u :: A -> ⊢ u = v :: A -> ⊢ t = v :: A
*)
| Congr of proof * proof
(*
⊢ f = g :: forall x : A, B -> ⊢ t = u :: A -> f t = g u :: B
Assumes that B
≡ Bu for this to make sense!
*)
| Inject of proof * Constr.pconstructor * int * int
(*
⊢ ci v = ci w :: Ind(args) -> ⊢ v = w :: T where T is the type of the n-th argument of ci, assuming they coincide
*)

Sourceand proof = private {

p_lhs : Ccalgo.ATerm.t;
p_rhs : Ccalgo.ATerm.t;
p_rule : rule;

}

Main proof building function

Source

val build_proof : 
  Environ.env ->
  Evd.evar_map ->
  Ccalgo.forest ->
  [ `Discr of int * Ccalgo.pa_constructor * int * Ccalgo.pa_constructor
  | `Prove of int * int ] ->
  proof