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Why3
why3
Commits
c5e4ff67
Commit
c5e4ff67
authored
Jul 21, 2015
by
Mário Pereira
Browse files
Added new lemmas to seq theory: permut_refl, permut_sym, permut_all_mem
parent
d60cd62f
Changes
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theories/seq.why
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c5e4ff67
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@@ -328,8 +328,14 @@ theory Permut
(** {2 Lemmas about permut} *)
lemma permut_refl: forall s: seq 'a, l u: int.
permut s s l u
lemma permut_sym: forall s1 s2: seq 'a, l u: int.
permut s1 s2 l u -> permut s2 s1 l u
lemma permut_trans:
forall s1 s2 s3: seq 'a
. forall
l u: int.
forall s1 s2 s3: seq 'a
,
l u: int.
permut s1 s2 l u -> permut s2 s3 l u -> permut s1 s3 l u
lemma permut_exists:
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@@ -339,6 +345,11 @@ theory Permut
(** {2 Lemmas about permut_all} *)
use import Mem
lemma permut_all_mem: forall s1 s2: seq 'a. permut_all s1 s2 ->
forall x. mem x s1 <-> mem x s2
lemma exchange_permut_all:
forall s1 s2: seq 'a, i j: int.
exchange s1 s2 i j -> permut_all s1 s2
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