Theorem botel

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

	Ref	Expression
Hypothesis	botel.1	⊢ ( 𝜑 → ⊥ )
Assertion	botel	⊢ ( 𝜑 → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		botel.1	⊢ ( 𝜑 → ⊥ )
2		falim	⊢ ( ⊥ → 𝜓 )
3	1 2	syl	⊢ ( 𝜑 → 𝜓 )