Theorem simplr

Description: Simplification of a conjunction. (Contributed by NM, 20-Mar-2007)

	Ref	Expression
Assertion	simplr	⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		id	⊢ ( 𝜓 → 𝜓 )
2	1	ad2antlr	⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) → 𝜓 )