Theorem ad5ant12

Description: Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017)

	Ref	Expression
Hypothesis	ad5ant2.1	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )
Assertion	ad5ant12	⊢ ( ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜃 ) ∧ 𝜏 ) ∧ 𝜂 ) → 𝜒 )

Proof

Step	Hyp	Ref	Expression
1		ad5ant2.1	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜒 )
2	1	ad3antrrr	⊢ ( ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜃 ) ∧ 𝜏 ) ∧ 𝜂 ) → 𝜒 )