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Formal proof management system

Install

Dune Dependency

coq.inria.fr Edit opam file Versions (38)

Authors

T

The Coq development team, INRIA, CNRS, and contributors.

Maintainers

C

coqdev@inria.fr

Sources

coq-8.16.0.tar.gz

sha256=36577b55f4a4b1c64682c387de7abea932d0fd42fc0cd5406927dca344f53587

doc/coq-core.proofs/Refine/index.html

Module `Refine`Source

The primitive refine tactic used to fill the holes in partial proofs. This is the recommended way to write tactics when the proof term is easy to write down. Note that this is not the user-level refine tactic defined in Ltac which is actually based on the one below.

The refine tactic

Source

val refine : 
  typecheck:bool ->
  (Evd.evar_map -> Evd.evar_map * EConstr.t) ->
  unit Proofview.tactic

In refine ~typecheck t, t is a term with holes under some evar_map context. The term t is used as a partial solution for the current goal (refine is a goal-dependent tactic), the new holes created by t become the new subgoals. Exceptions raised during the interpretation of t are caught and result in tactic failures. If typecheck is true t is type-checked beforehand. Shelved evars and goals are all marked as unresolvable for typeclasses.

Source

val generic_refine : 
  typecheck:bool ->
  ('a * EConstr.t) Proofview.tactic ->
  Proofview.Goal.t ->
  'a Proofview.tactic

The general version of refine.

Unification constraint handling

Sourceval solve_constraints : unit Proofview.tactic

Solve any remaining unification problems, applying heuristics.

On This Page

The refine tactic
Refinement primitives
Unification constraint handling