Theorem adantlllr 39199

Description: Deduction adding a conjunct to antecedent. (Contributed by Glauco Siliprandi, 11-Dec-2019.)

Hypothesis

Ref	Expression
adantlllr.1	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ta )

Assertion

Ref	Expression
adantlllr	|- ( ( ( ( ( ph /\ et ) /\ ps ) /\ ch ) /\ th ) -> ta )

Proof of Theorem adantlllr

Step	Hyp	Ref	Expression
1		adantlllr.1	. 2 |- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ta )
2	1	adantl3r 786	1 |- ( ( ( ( ( ph /\ et ) /\ ps ) /\ ch ) /\ th ) -> ta )

Syntax hints:   -> wi 4   /\ wa 384

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386

This theorem is referenced by:  supxrge  39554  xrralrecnnle  39602  limclner  39883  icccncfext  40100  fourierdlem64  40387  fourierdlem73  40396  etransclem35  40486  sge0tsms  40597  hoicvr  40762  hspmbllem2  40841  smflimlem4  40982