Theorem falimd

Description: The truth value F. implies anything. (Contributed by Mario Carneiro, 9-Feb-2017)

	Ref	Expression
Assertion	falimd	$$⊢\left(\phi \wedge \perp \right)\to \psi$$

Proof

Step	Hyp	Ref	Expression
1		falim	$$⊢\perp \to \psi$$
2	1	adantl	$$⊢\left(\phi \wedge \perp \right)\to \psi$$