Theorem 3ad2antl2 1118

Description: Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.)

Hypothesis

Ref	Expression
3ad2antl.1	|- ((ph /\ ch) -> th)

Assertion

Ref	Expression
3ad2antl2	|- (((ps /\ ph /\ ta) /\ ch) -> th)

Proof of Theorem 3ad2antl2

Step	Hyp	Ref	Expression
1		3ad2antl.1	. . 3 |- ((ph /\ ch) -> th)
2	1	adantlr 695	. 2 |- (((ph /\ ta) /\ ch) -> th)
3	2	3adantl1 1111	1 |- (((ps /\ ph /\ ta) /\ ch) -> th)

Syntax hints:   -> wi 4   /\ wa 358   /\ w3a 934

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  df-3an 936

This theorem is referenced by:  nclenn  6250  lecadd2  6267