Theorem ancr

Description: Conjoin antecedent to right of consequent. (Contributed by NM, 15-Aug-1994)

	Ref	Expression
Assertion	ancr	$$⊢\left(\phi \to \psi \right)\to \left(\phi \to \left(\psi \wedge \phi \right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		pm3.21	$$⊢\phi \to \left(\psi \to \left(\psi \wedge \phi \right)\right)$$
2	1	a2i	$$⊢\left(\phi \to \psi \right)\to \left(\phi \to \left(\psi \wedge \phi \right)\right)$$