Theorem 3comr 1112

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

Hypothesis

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

Assertion

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

Proof of Theorem 3comr

Step	Hyp	Ref	Expression
1		3exp.1	. . 3 |- ( ( ph /\ ps /\ ch ) -> th )
2	1	3coml 1111	. 2 |- ( ( ps /\ ch /\ ph ) -> th )
3	2	3coml 1111	1 |- ( ( ch /\ ph /\ ps ) -> th )

Syntax hints:   -> wi 4   /\ w3a 885

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101

This theorem depends on definitions:  df-bi 110  df-3an 887

This theorem is referenced by:  nnacan  6085  le2tri3i  7126  ltaddsublt  7562  div12ap  7673  lemul12b  7827  zdivadd  8329  zdivmul  8330  elfz  8880  fzmmmeqm  8921  fzrev  8946  absdiflt  9688  absdifle  9689