Theorem ad6antlr

Description: Deduction adding 6 conjuncts to antecedent. (Contributed by Mario Carneiro, 5-Jan-2017) (Proof shortened by Wolf Lammen, 5-Apr-2022)

	Ref	Expression
Hypothesis	ad2ant.1	|- ( ph -> ps )
Assertion	ad6antlr	|- ( ( ( ( ( ( ( ch /\ ph ) /\ th ) /\ ta ) /\ et ) /\ ze ) /\ si ) -> ps )

Proof

Step	Hyp	Ref	Expression
1		ad2ant.1	|- ( ph -> ps )
2	1	adantl	|- ( ( ch /\ ph ) -> ps )
3	2	ad5antr	|- ( ( ( ( ( ( ( ch /\ ph ) /\ th ) /\ ta ) /\ et ) /\ ze ) /\ si ) -> ps )