Skip to content

Proved the idempotent property for wor. #23

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Open
llee454 wants to merge 1 commit into
base: master
Choose a base branch
from
Open

Proved the idempotent property for wor. #23

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
13 changes: 13 additions & 0 deletions theories/Word.v
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -1720,6 +1720,19 @@ Proof.
unfold wor; induction sz; shatterer.
Qed.

Lemma wor_idemp
: forall (n : nat) (x0 : word n), x0 ^| x0 = x0.
Proof.
(intros).
(induction x0).
reflexivity.
(rewrite <- IHx0 at 3).
(unfold wor).
(simpl).
(rewrite orb_diag).
reflexivity.
Qed.

Lemma wand_wones : forall sz w, wones sz ^& w = w.
Proof.
unfold wand; induction sz; shatterer.
Expand Down