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Metamath Proof Explorer

Theorem orim1i

Description: Introduce disjunct to both sides of an implication. (Contributed by NM, 6-Jun-1994)

		Ref	Expression
	Hypothesis	orim1i.1	$⊢ φ \to ψ$
	Assertion	orim1i	$⊢ (φ \lor χ) \to (ψ \lor χ)$

Step	Hyp	Ref	Expression
1		orim1i.1	$⊢ φ \to ψ$
2		id	$⊢ χ \to χ$
3	1 2	orim12i	$⊢ (φ \lor χ) \to (ψ \lor χ)$