Theorem ancomst 468

Description: Closed form of ancoms 469. (Contributed by Alan Sare, 31-Dec-2011.)

Assertion

Ref	Expression
ancomst	|- ( ( ( ph /\ ps ) -> ch ) <-> ( ( ps /\ ph ) -> ch ) )

Proof of Theorem ancomst

Step	Hyp	Ref	Expression
1		ancom 466	. 2 |- ( ( ph /\ ps ) <-> ( ps /\ ph ) )
2	1	imbi1i 339	1 |- ( ( ( ph /\ ps ) -> ch ) <-> ( ( ps /\ ph ) -> ch ) )

Syntax hints:   -> wi 4   <-> wb 196   /\ 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:  sbcom2  2445  ralcomf  3096  fvn0ssdmfun  6350  ovolgelb  23248  itg2leub  23501  nmoubi  27627  wl-sbcom2d  33344  ifpidg  37836  undmrnresiss  37910  ntrneiiso  38389  expcomdg  38706