Theorem simp2lr

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

	Ref	Expression
Assertion	simp2lr	⊢ ( ( 𝜃 ∧ ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜏 ) → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		simplr	⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) → 𝜓 )
2	1	3ad2ant2	⊢ ( ( 𝜃 ∧ ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜏 ) → 𝜓 )