Theorem ad4ant123

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

	Ref	Expression
Hypothesis	ad4ant3.1	|- ( ( ph /\ ps /\ ch ) -> th )
Assertion	ad4ant123	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ ta ) -> th )

Proof

Step	Hyp	Ref	Expression
1		ad4ant3.1	|- ( ( ph /\ ps /\ ch ) -> th )
2	1	3expa	|- ( ( ( ph /\ ps ) /\ ch ) -> th )
3	2	adantr	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ ta ) -> th )