Metamath Proof Explorer

Theorem simpllr

Description: Simplification of a conjunction. (Contributed by Jeff Hankins, 28-Jul-2009) (Proof shortened by Wolf Lammen, 6-Apr-2022)

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

Step	Hyp	Ref	Expression
1		id	$⊢ ψ \to ψ$
2	1	ad3antlr	$⊢ (((φ \land ψ) \land χ) \land θ) \to ψ$