Theorem bnj706

Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Hypothesis	bnj706.1	⊢ ( 𝜓 → 𝜏 )
Assertion	bnj706	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → 𝜏 )

Proof

Step	Hyp	Ref	Expression
1		bnj706.1	⊢ ( 𝜓 → 𝜏 )
2		bnj643	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → 𝜓 )
3	2 1	syl	⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → 𝜏 )