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-8.20.0.tar.gz

md5=66e57ea55275903bef74d5bf36fbe0f1

sha512=1a7eac6e2f58724a3f9d68bbb321e4cfe963ba1a5551b9b011db4b3f559c79be433d810ff262593d753770ee41ea68fbd6a60daa1e2319ea00dff64c8851d70b

doc/micromega_plugin/Micromega_plugin/Polynomial/ProofFormat/index.html

Module `Polynomial.ProofFormat`Source

Proof format used by the proof-generating procedures. It is fairly close to Coq format but a bit more liberal.

It is used for proofs over Z, Q, R. However, certain constructions e.g. CutPrf are only relevant for Z.

Sourcetype prf_rule =

| Annot of string * prf_rule
| Hyp of int
| Def of int
| Ref of int
| Cst of Micromega_core_plugin.NumCompat.Q.t
| Zero
| Square of Vect.t
| MulC of Vect.t * prf_rule
| Gcd of Micromega_core_plugin.NumCompat.Z.t * prf_rule
| MulPrf of prf_rule * prf_rule
| AddPrf of prf_rule * prf_rule
| CutPrf of prf_rule
| LetPrf of prf_rule * prf_rule

Sourcetype proof =

| Done
| Step of int * prf_rule * proof
| Split of int * Vect.t * proof * proof
| Enum of int * prf_rule * Vect.t * prf_rule * proof list
| ExProof of int * int * int * var * var * var * proof

Sourceval pr_size : prf_rule -> Micromega_core_plugin.NumCompat.Q.t

Sourceval normalise_proof : int -> proof -> int * proof

Sourceval output_prf_rule : Stdlib.out_channel -> prf_rule -> unit

Sourceval output_proof : Stdlib.out_channel -> proof -> unit

Sourceval add_proof : prf_rule -> prf_rule -> prf_rule

Sourceval mul_cst_proof : Micromega_core_plugin.NumCompat.Q.t -> prf_rule -> prf_rule

Sourceval mul_proof : prf_rule -> prf_rule -> prf_rule

Sourcemodule Env : sig ... end

Source

val compile_proof : 
  Env.t ->
  proof ->
  Micromega_core_plugin.Micromega.zArithProof

Source

val cmpl_prf_rule : 
  ('a Micromega_core_plugin.Micromega.pExpr ->
    'a Micromega_core_plugin.Micromega.pol) ->
  (Micromega_core_plugin.NumCompat.Q.t -> 'a) ->
  Env.t ->
  prf_rule ->
  'a Micromega_core_plugin.Micromega.psatz

Source

val proof_of_farkas : 
  prf_rule Micromega_core_plugin.Mutils.IMap.t ->
  Vect.t ->
  prf_rule

Sourceval simplify_proof : proof -> proof * Micromega_core_plugin.Mutils.ISet.t

package coq-core

Install

Dune Dependency

Authors

Maintainers

Sources

doc/micromega_plugin/Micromega_plugin/Polynomial/ProofFormat/index.html

Module Polynomial.ProofFormatSource

Module `Polynomial.ProofFormat`Source