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Metamath Proof Explorer

Theorem anim1i

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

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

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