Theorem anim1ci

Description: Introduce conjunct to both sides of an implication. (Contributed by Peter Mazsa, 24-Sep-2022)

	Ref	Expression
Hypothesis	anim1i.1	$$⊢\phi \to \psi$$
Assertion	anim1ci	$$⊢\left(\phi \wedge \chi \right)\to \left(\chi \wedge \psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		anim1i.1	$$⊢\phi \to \psi$$
2		id	$$⊢\chi \to \chi$$
3	1 2	anim12ci	$$⊢\left(\phi \wedge \chi \right)\to \left(\chi \wedge \psi \right)$$