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Metamath Proof Explorer

Theorem anim2i

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

		Ref	Expression
	Hypothesis	anim1i.1	$⊢ φ \to ψ$
	Assertion	anim2i	$⊢ (χ \land φ) \to (χ \land ψ)$

Step	Hyp	Ref	Expression
1		anim1i.1	$⊢ φ \to ψ$
2		id	$⊢ χ \to χ$
3	2 1	anim12i	$⊢ (χ \land φ) \to (χ \land ψ)$