Theorem simp2l3

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

	Ref	Expression
Assertion	simp2l3	⊢ ( ( 𝜏 ∧ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ∧ 𝜃 ) ∧ 𝜂 ) → 𝜒 )

Proof

Step	Hyp	Ref	Expression
1		simpl3	⊢ ( ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ∧ 𝜃 ) → 𝜒 )
2	1	3ad2ant2	⊢ ( ( 𝜏 ∧ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ∧ 𝜃 ) ∧ 𝜂 ) → 𝜒 )