Theorem 3coml 1158

Description: Commutation in antecedent. Rotate left. (Contributed by NM, 28-Jan-1996.)

Hypothesis

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

Assertion

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

Proof of Theorem 3coml

Step	Hyp	Ref	Expression
1		3exp.1	. . 3 |- ((ph /\ ps /\ ch) -> th)
2	1	3com23 1157	. 2 |- ((ph /\ ch /\ ps) -> th)
3	2	3com13 1156	1 |- ((ps /\ ch /\ ph) -> th)

Syntax hints:   -> wi 4   /\ 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:  3comr  1159  addccan1  4560  addcdir  6251