Theorem a1i24 34417

Description: Add two antecedents to a wff. Deduction associated with a1i13 27. (Contributed by Jeff Hankins, 5-Aug-2009.)

Hypothesis

Ref	Expression
a1i24.1	⊢ (𝜑 → (𝜒 → 𝜏))

Assertion

Ref	Expression
a1i24	⊢ (𝜑 → (𝜓 → (𝜒 → (𝜃 → 𝜏))))

Proof of Theorem a1i24

Step	Hyp	Ref	Expression
1		a1i24.1	. . 3 ⊢ (𝜑 → (𝜒 → 𝜏))
2	1	a1dd 50	. 2 ⊢ (𝜑 → (𝜒 → (𝜃 → 𝜏)))
3	2	a1d 25	1 ⊢ (𝜑 → (𝜓 → (𝜒 → (𝜃 → 𝜏))))

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by: (None)