Theorem tsim2

Description: A Tseitin axiom for logical implication, in deduction form. (Contributed by Giovanni Mascellani, 24-Mar-2018)

	Ref	Expression
Assertion	tsim2	$$⊢\theta \to \left(\phi \vee \left(\phi \to \psi \right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		curryax	$$⊢\left(\phi \vee \left(\phi \to \psi \right)\right)$$
2	1	a1i	$$⊢\theta \to \left(\phi \vee \left(\phi \to \psi \right)\right)$$