Metamath Proof Explorer

Theorem adantlllr

Description: Deduction adding a conjunct to antecedent. (Contributed by Glauco Siliprandi, 11-Dec-2019)

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

Step	Hyp	Ref	Expression
1		adantlllr.1	$⊢ (((φ \land ψ) \land χ) \land θ) \to τ$
2	1	adantl3r	$⊢ ((((φ \land η) \land ψ) \land χ) \land θ) \to τ$