Theorem simp3l

Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011)

	Ref	Expression
Assertion	simp3l	⊢ ( ( 𝜑 ∧ 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) → 𝜒 )

Proof

Step	Hyp	Ref	Expression
1		simpl	⊢ ( ( 𝜒 ∧ 𝜃 ) → 𝜒 )
2	1	3ad2ant3	⊢ ( ( 𝜑 ∧ 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) → 𝜒 )