Conjunction with Tautology/Proof 1

Theorem

 * $p \land \top \dashv \vdash p$

Proof
The propositions:
 * If it's not false, it must be true

and
 * If it's not true, it must be false

are indeed valid only in the context where there are only two truth values.

From the intuitionist perspective, these results do not hold.