Theorem adantlllr

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

	Ref	Expression
Hypothesis	adantlllr.1	⊢ ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) → 𝜏 )
Assertion	adantlllr	⊢ ( ( ( ( ( 𝜑 ∧ 𝜂 ) ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) → 𝜏 )

Proof

Step	Hyp	Ref	Expression
1		adantlllr.1	⊢ ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) → 𝜏 )
2	1	adantl3r	⊢ ( ( ( ( ( 𝜑 ∧ 𝜂 ) ∧ 𝜓 ) ∧ 𝜒 ) ∧ 𝜃 ) → 𝜏 )