Theorem simplbi2VD

Description: Virtual deduction proof of simplbi2 . The following user's proof is completed by invoking mmj2's unify command and using mmj2's StepSelector to pick all remaining steps of the Metamath proof.

	Ref	Expression
Hypothesis	pm3.26bi2VD.1	$$⊢\phi \leftrightarrow \left(\psi \wedge \chi \right)$$
Assertion	simplbi2VD	$$⊢\psi \to \left(\chi \to \phi \right)$$

Proof

Step	Hyp	Ref	Expression
1		pm3.26bi2VD.1	$$⊢\phi \leftrightarrow \left(\psi \wedge \chi \right)$$
2		biimpr	$$⊢\left(\phi \leftrightarrow \left(\psi \wedge \chi \right)\right)\to \left(\left(\psi \wedge \chi \right)\to \phi \right)$$
3	1 2	e0a	$$⊢\left(\psi \wedge \chi \right)\to \phi$$
4		pm3.3	$$⊢\left(\left(\psi \wedge \chi \right)\to \phi \right)\to \left(\psi \to \left(\chi \to \phi \right)\right)$$
5	3 4	e0a	$$⊢\psi \to \left(\chi \to \phi \right)$$