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Metamath Proof Explorer

Theorem 3comr

Description: Commutation in antecedent. Rotate right. (Contributed by NM, 28-Jan-1996) Theorems shortened and reordered. (Revised by Wolf Lammen, 9-Apr-2022)

		Ref	Expression
	Hypothesis	3exp.1	$⊢ (φ \land ψ \land χ) \to θ$
	Assertion	3comr	$⊢ (χ \land φ \land ψ) \to θ$

Proof

Step	Hyp	Ref	Expression
1		3exp.1	$⊢ (φ \land ψ \land χ) \to θ$
2	1	3com12	$⊢ (ψ \land φ \land χ) \to θ$
3	2	3com13	$⊢ (χ \land φ \land ψ) \to θ$