Theorem anim2i

Description: Introduce conjunct to both sides of an implication. (Contributed by NM, 3-Jan-1993)

	Ref	Expression
Hypothesis	anim1i.1	$$⊢\phi \to \psi$$
Assertion	anim2i	$$⊢\left(\chi \wedge \phi \right)\to \left(\chi \wedge \psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		anim1i.1	$$⊢\phi \to \psi$$
2		id	$$⊢\chi \to \chi$$
3	2 1	anim12i	$$⊢\left(\chi \wedge \phi \right)\to \left(\chi \wedge \psi \right)$$