Theorem ad5ant123

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	ad5ant123	|- ( ( ( ( ( ph /\ ps ) /\ ch ) /\ ta ) /\ et ) -> th )

Proof

Step	Hyp	Ref	Expression
1		ad5ant.1	|- ( ( ph /\ ps /\ ch ) -> th )
2	1	3expa	|- ( ( ( ph /\ ps ) /\ ch ) -> th )
3	2	ad2antrr	|- ( ( ( ( ( ph /\ ps ) /\ ch ) /\ ta ) /\ et ) -> th )