Skip to content
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.

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

hooo_dual_rev_neq should require excluded middle for A, B #627

Closed
bvssvni opened this issue Dec 17, 2022 · 1 comment · Fixed by #628
Closed

hooo_dual_rev_neq should require excluded middle for A, B #627

bvssvni opened this issue Dec 17, 2022 · 1 comment · Fixed by #628
Assignees
Labels

Comments

@bvssvni
Copy link
Contributor

bvssvni commented Dec 17, 2022

See #620

Since hooo_dual_eq is too strong, a new constructive proof is desirable for hooo_dual_rev_neq.

A such proof exists if excluded middle is required for A, B.
This is required due to or::from_de_morgan being used in the proof.

I think this proof is acceptable, given that the only reference to hooo_dual_rev_neq is in tauto_from_para_transitivity which requires excluded middle.

@bvssvni
Copy link
Contributor Author

bvssvni commented Dec 19, 2022

This can be also used to prove tauto_hooo_dual_rev_neq when A, B uses excluded middle.

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Labels
Projects
None yet
Development

Successfully merging a pull request may close this issue.

1 participant