Theorem simpli

Description: Inference eliminating a conjunct. (Contributed by NM, 15-Jun-1994)

	Ref	Expression
Hypothesis	simpli.1	⊢ ( 𝜑 ∧ 𝜓 )
Assertion	simpli	⊢ 𝜑

Proof

Step	Hyp	Ref	Expression
1		simpli.1	⊢ ( 𝜑 ∧ 𝜓 )
2		simpl	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜑 )
3	1 2	ax-mp	⊢ 𝜑