Theorem a1i14

Description: Add two antecedents to a wff. (Contributed by Jeff Hankins, 4-Aug-2009)

	Ref	Expression
Hypothesis	a1i14.1	⊢ ( 𝜓 → ( 𝜒 → 𝜏 ) )
Assertion	a1i14	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → ( 𝜃 → 𝜏 ) ) ) )

Proof

Step	Hyp	Ref	Expression
1		a1i14.1	⊢ ( 𝜓 → ( 𝜒 → 𝜏 ) )
2	1	a1dd	⊢ ( 𝜓 → ( 𝜒 → ( 𝜃 → 𝜏 ) ) )
3	2	a1i	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → ( 𝜃 → 𝜏 ) ) ) )