Theorem simp2r2

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

	Ref	Expression
Assertion	simp2r2	⊢ ( ( 𝜏 ∧ ( 𝜃 ∧ ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) ∧ 𝜂 ) → 𝜓 )

Proof

Step	Hyp	Ref	Expression
1		simpr2	⊢ ( ( 𝜃 ∧ ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) → 𝜓 )
2	1	3ad2ant2	⊢ ( ( 𝜏 ∧ ( 𝜃 ∧ ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) ∧ 𝜂 ) → 𝜓 )