Theorem bj-imbi12

Description: Uncurried (imported) form of imbi12 . (Contributed by BJ, 6-May-2019)

	Ref	Expression
Assertion	bj-imbi12	$$⊢\left(\left(\phi \leftrightarrow \psi \right)\wedge \left(\chi \leftrightarrow \theta \right)\right)\to \left(\left(\phi \to \chi \right)\leftrightarrow \left(\psi \to \theta \right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		imbi12	$$⊢\left(\phi \leftrightarrow \psi \right)\to \left(\left(\chi \leftrightarrow \theta \right)\to \left(\left(\phi \to \chi \right)\leftrightarrow \left(\psi \to \theta \right)\right)\right)$$
2	1	imp	$$⊢\left(\left(\phi \leftrightarrow \psi \right)\wedge \left(\chi \leftrightarrow \theta \right)\right)\to \left(\left(\phi \to \chi \right)\leftrightarrow \left(\psi \to \theta \right)\right)$$