Theorem a1i24

Description: Add two antecedents to a wff. Deduction associated with a1i13 . (Contributed by Jeff Hankins, 5-Aug-2009)

	Ref	Expression
Hypothesis	a1i24.1	⊢ ( 𝜑 → ( 𝜒 → 𝜏 ) )
Assertion	a1i24	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → ( 𝜃 → 𝜏 ) ) ) )

Proof

Step	Hyp	Ref	Expression
1		a1i24.1	⊢ ( 𝜑 → ( 𝜒 → 𝜏 ) )
2	1	a1dd	⊢ ( 𝜑 → ( 𝜒 → ( 𝜃 → 𝜏 ) ) )
3	2	a1d	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → ( 𝜃 → 𝜏 ) ) ) )