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) ->
+ equality:(Cic.context -> Cic.term -> Cic.term -> bool) ->
+ context:Cic.context ->
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
val simpl : Cic.context -> Cic.term -> Cic.term
val unfold : ?what:Cic.term -> Cic.context -> Cic.term -> Cic.term