Theorem anass1rs

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

	Ref	Expression
Hypothesis	anass1rs.1	$$⊢\left(\phi \wedge \left(\psi \wedge \chi \right)\right)\to \theta$$
Assertion	anass1rs	$$⊢\left(\left(\phi \wedge \chi \right)\wedge \psi \right)\to \theta$$

Proof

Step	Hyp	Ref	Expression
1		anass1rs.1	$$⊢\left(\phi \wedge \left(\psi \wedge \chi \right)\right)\to \theta$$
2	1	anassrs	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \right)\to \theta$$
3	2	an32s	$$⊢\left(\left(\phi \wedge \chi \right)\wedge \psi \right)\to \theta$$