Theorem ad5ant134

Description: Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017) (Proof shortened by Wolf Lammen, 23-Jun-2022)

	Ref	Expression
Hypothesis	ad5ant.1	|- ( ( ph /\ ps /\ ch ) -> th )
Assertion	ad5ant134	|- ( ( ( ( ( ph /\ ta ) /\ ps ) /\ ch ) /\ et ) -> th )

Proof

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