Theorem ad5antlr 715

Description: Deduction adding 5 conjuncts to antecedent. (Contributed by Mario Carneiro, 5-Jan-2017.)

Hypothesis

Ref	Expression
ad2ant.1	|- (ph -> ps)

Assertion

Ref	Expression
ad5antlr	|- ((((((ch /\ ph) /\ th) /\ ta) /\ et) /\ ze) -> ps)

Proof of Theorem ad5antlr

Step	Hyp	Ref	Expression
1		ad2ant.1	. . 3 |- (ph -> ps)
2	1	ad4antlr 713	. 2 |- (((((ch /\ ph) /\ th) /\ ta) /\ et) -> ps)
3	2	adantr 451	1 |- ((((((ch /\ ph) /\ th) /\ ta) /\ et) /\ ze) -> ps)

Syntax hints:   -> wi 4   /\ wa 358

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 177  df-an 360

This theorem is referenced by:  ad6antlr  717