Theorem simpri

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

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

Proof

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