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Metamath Proof Explorer

Theorem orcoms

Description: Commutation of disjuncts in antecedent. (Contributed by NM, 2-Dec-2012)

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

Step	Hyp	Ref	Expression
1		orcoms.1	$⊢ (φ \lor ψ) \to χ$
2		pm1.4	$⊢ (ψ \lor φ) \to (φ \lor ψ)$
3	2 1	syl	$⊢ (ψ \lor φ) \to χ$