Theorem botel

Description: An inference for bottom elimination. (Contributed by Giovanni Mascellani, 24-May-2019)

	Ref	Expression
Hypothesis	botel.1	$$⊢\phi \to \perp$$
Assertion	botel	$$⊢\phi \to \psi$$

Proof

Step	Hyp	Ref	Expression
1		botel.1	$$⊢\phi \to \perp$$
2		falim	$$⊢\perp \to \psi$$
3	1 2	syl	$$⊢\phi \to \psi$$