elim tactic: it needs two arguments, a term as well as a pattern

[helm.git] / helm / software / components / tactics / proofEngineReduction.mli

diff --git a/helm/software/components/tactics/proofEngineReduction.mli b/helm/software/components/tactics/proofEngineReduction.mli
index c0318bdfeb53be8562604f7595fabc77f8d136f5..78f4b7f4c4e8024550fa91dd05a8ae91db2356a6 100644 (file)
--- a/helm/software/components/tactics/proofEngineReduction.mli
+++ b/helm/software/components/tactics/proofEngineReduction.mli
@@ -35,16 +35,39 @@ exception AlreadySimplified
 exception WhatAndWithWhatDoNotHaveTheSameLength;;
 
 val alpha_equivalence: Cic.term -> Cic.term -> bool
+
+(* Replaces "textually" in "where" every term in "what" with the corresponding
+   term in "with_what". The terms in "what" ARE NOT lifted when binders are
+   crossed. The terms in "with_what" ARE NOT lifted when binders are crossed.
+   Every free variable in "where" IS NOT lifted by nnn. *)
 val replace :
   equality:('a -> Cic.term -> bool) ->
   what:'a list -> with_what:Cic.term list -> where:Cic.term -> Cic.term
+
+(* Replaces in "where" every term in "what" with the corresponding
+   term in "with_what". The terms in "what" ARE lifted when binders are
+   crossed. The terms in "with_what" ARE lifted when binders are crossed.
+   Every free variable in "where" IS NOT lifted by nnn.
+   Thus "replace_lifting_csc 1 ~with_what:[Rel 1; ... ; Rel 1]" is the
+   inverse of subst up to the fact that free variables in "where" are NOT
+   lifted. *)
 val replace_lifting :
   equality:(Cic.term -> Cic.term -> bool) ->
   what:Cic.term list -> with_what:Cic.term list -> where:Cic.term -> Cic.term
+
+(* Replaces in "where" every term in "what" with the corresponding
+   term in "with_what". The terms in "what" ARE NOT lifted when binders are
+   crossed. The terms in "with_what" ARE lifted when binders are crossed.
+   Every free variable in "where" IS lifted by nnn.
+   Thus "replace_lifting_csc 1 ~with_what:[Rel 1; ... ; Rel 1]" is the
+   inverse of subst up to the fact that "what" terms are NOT lifted. *)
 val replace_lifting_csc :
   int -> equality:(Cic.term -> Cic.term -> bool) ->
   what:Cic.term list -> with_what:Cic.term list -> where:Cic.term -> Cic.term
-val subst_inv :
+
+(* This is like "replace_lifting_csc 1 ~with_what:[Rel 1; ... ; Rel 1]"
+   up to the fact that the index to start from can be specified *)
+val replace_with_rel_1_from :
   equality:(Cic.term -> Cic.term -> bool) ->
   what:Cic.term list -> int -> Cic.term -> Cic.term
 val reduce : Cic.context -> Cic.term -> Cic.term