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Metamath Proof Explorer

Theorem orim2i

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

		Ref	Expression
	Hypothesis	orim1i.1	$⊢ φ \to ψ$
	Assertion	orim2i	$⊢ (χ \lor φ) \to (χ \lor ψ)$

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