Theorem adantl3r

Description: Deduction adding 1 conjunct to antecedent. (Contributed by Alan Sare, 17-Oct-2017)

	Ref	Expression
Hypothesis	adantl3r.1	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ta )
Assertion	adantl3r	|- ( ( ( ( ( ph /\ et ) /\ ps ) /\ ch ) /\ th ) -> ta )

Proof

Step	Hyp	Ref	Expression
1		adantl3r.1	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ta )
2		id	|- ( ( ph /\ ps ) -> ( ph /\ ps ) )
3	2	adantlr	|- ( ( ( ph /\ et ) /\ ps ) -> ( ph /\ ps ) )
4	3 1	sylanl1	|- ( ( ( ( ( ph /\ et ) /\ ps ) /\ ch ) /\ th ) -> ta )