Theorem a1i14 34489

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

Hypothesis

Ref	Expression
a1i14.1	⊢ (𝜓 → (𝜒 → 𝜏))

Assertion

Ref	Expression
a1i14	⊢ (𝜑 → (𝜓 → (𝜒 → (𝜃 → 𝜏))))

Proof of Theorem a1i14

Step	Hyp	Ref	Expression
1		a1i14.1	. . 3 ⊢ (𝜓 → (𝜒 → 𝜏))
2	1	a1dd 50	. 2 ⊢ (𝜓 → (𝜒 → (𝜃 → 𝜏)))
3	2	a1i 11	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)