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	$$⊢\phi \to \left(\chi \to \tau \right)$$
Assertion	a1i24	$$⊢\phi \to \left(\psi \to \left(\chi \to \left(\theta \to \tau \right)\right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		a1i24.1	$$⊢\phi \to \left(\chi \to \tau \right)$$
2	1	a1dd	$$⊢\phi \to \left(\chi \to \left(\theta \to \tau \right)\right)$$
3	2	a1d	$$⊢\phi \to \left(\psi \to \left(\chi \to \left(\theta \to \tau \right)\right)\right)$$