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Metamath Proof Explorer

Theorem anass1rs

Description: Commutative-associative law for conjunction in an antecedent. (Contributed by Jeff Madsen, 19-Jun-2011)

		Ref	Expression
	Hypothesis	anass1rs.1	$⊢ (φ \land (ψ \land χ)) \to θ$
	Assertion	anass1rs	$⊢ ((φ \land χ) \land ψ) \to θ$

Step	Hyp	Ref	Expression
1		anass1rs.1	$⊢ (φ \land (ψ \land χ)) \to θ$
2	1	anassrs	$⊢ ((φ \land ψ) \land χ) \to θ$
3	2	an32s	$⊢ ((φ \land χ) \land ψ) \to θ$