Metamath Proof Explorer


Theorem ancomst

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

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

Proof

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