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Metamath Proof Explorer

Theorem simplr2

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012) (Proof shortened by Wolf Lammen, 23-Jun-2022)

		Ref	Expression
	Assertion	simplr2	$⊢ ((θ \land (φ \land ψ \land χ)) \land τ) \to ψ$

Step	Hyp	Ref	Expression
1		simp2	$⊢ (φ \land ψ \land χ) \to ψ$
2	1	ad2antlr	$⊢ ((θ \land (φ \land ψ \land χ)) \land τ) \to ψ$