Theorem ad5ant245

Description: Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017) (Proof shortened by Wolf Lammen, 14-Apr-2022)

	Ref	Expression
Hypothesis	ad5ant.1	|- ( ( ph /\ ps /\ ch ) -> th )
Assertion	ad5ant245	|- ( ( ( ( ( ta /\ ph ) /\ et ) /\ ps ) /\ ch ) -> th )

Proof

Step	Hyp	Ref	Expression
1		ad5ant.1	|- ( ( ph /\ ps /\ ch ) -> th )
2	1	3adant1l	|- ( ( ( ta /\ ph ) /\ ps /\ ch ) -> th )
3	2	ad4ant134	|- ( ( ( ( ( ta /\ ph ) /\ et ) /\ ps ) /\ ch ) -> th )