Theorem simp1rl

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

	Ref	Expression
Assertion	simp1rl	⊢ ( ( ( 𝜒 ∧ ( 𝜑 ∧ 𝜓 ) ) ∧ 𝜃 ∧ 𝜏 ) → 𝜑 )

Proof

Step	Hyp	Ref	Expression
1		simprl	⊢ ( ( 𝜒 ∧ ( 𝜑 ∧ 𝜓 ) ) → 𝜑 )
2	1	3ad2ant1	⊢ ( ( ( 𝜒 ∧ ( 𝜑 ∧ 𝜓 ) ) ∧ 𝜃 ∧ 𝜏 ) → 𝜑 )