Theorem ad5ant12 1300

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

Hypothesis

Ref	Expression
ad5ant12.1	|- ( ( ph /\ ps ) -> ch )

Assertion

Ref	Expression
ad5ant12	|- ( ( ( ( ( ph /\ ps ) /\ th ) /\ ta ) /\ et ) -> ch )

Proof of Theorem ad5ant12

Step	Hyp	Ref	Expression
1		ad5ant12.1	. 2 |- ( ( ph /\ ps ) -> ch )
2	1	ad3antrrr 766	1 |- ( ( ( ( ( ph /\ ps ) /\ th ) /\ ta ) /\ et ) -> ch )

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:  hoidmvle  40814