Remove HOOO axiom by `not[not] <=> not`
bvssvni opened this issue · comments
Currently, one can prove the following:
pub fn proof<A: Prop>() -> False {
let a: Pow<A, False> = fa();
let b: Pow<Not<A>, False> = fa();
hooo_not()(b)(a)
}
It seems sufficient to remove hooo::hooo_not
.
This also implies that tauto_hooo_not
is invalid, since tauto_hooo_not
implies hooo_not
.