Metamath Proof Explorer

Theorem an42s

Description: Inference rearranging 4 conjuncts in antecedent. (Contributed by NM, 10-Aug-1995)

		Ref	Expression
	Hypothesis	an41r3s.1	$⊢ ((φ \land ψ) \land (χ \land θ)) \to τ$
	Assertion	an42s	$⊢ ((φ \land χ) \land (θ \land ψ)) \to τ$

Step	Hyp	Ref	Expression
1		an41r3s.1	$⊢ ((φ \land ψ) \land (χ \land θ)) \to τ$
2	1	an4s	$⊢ ((φ \land χ) \land (ψ \land θ)) \to τ$
3	2	ancom2s	$⊢ ((φ \land χ) \land (θ \land ψ)) \to τ$