Theorem anim1i

Description: Introduce conjunct to both sides of an implication. (Contributed by NM, 5-Aug-1993)

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

Proof

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