pl/frap
1
0
Fork 0
mirror of https://github.com/achlipala/frap.git synced 2024-09-19 19:57:13 +00:00
Code Issues Projects Releases Packages Wiki Activity Actions

Reordering premises in Invariant theorems

Browse source
This commit is contained in:
Adam Chlipala 2016-02-15 16:04:40 -05:00
parent 9b40bf78af
commit e669e53157
1 changed files with 4 additions and 4 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

8
Invariant.v
View file

@ -14,9 +14,9 @@ Definition invariantFor {state} (sys : trsys state) (invariant : state -> Prop)
-> invariant s'.
Theorem use_invariant : forall {state} (sys : trsys state) (invariant : state -> Prop) s s',
sys.(Step)^* s s'
invariantFor sys invariant
-> sys.(Step)^* s s'
-> sys.(Initial) s
-> invariantFor sys invariant
-> invariant s'.
Proof.
firstorder.
@ -24,8 +24,8 @@ Qed.
Theorem invariantFor_monotone : forall {state} (sys : trsys state)
(invariant1 invariant2 : state -> Prop),
(forall s, invariant1 s -> invariant2 s)
-> invariantFor sys invariant1
invariantFor sys invariant1
-> (forall s, invariant1 s -> invariant2 s)
-> invariantFor sys invariant2.
Proof.
unfold invariantFor; intuition eauto.