Home brismu bridi < Previous   Next >
Nearby theorems
Mirrors  >  Home  >   Home  >  Th. List  >  ga-com

Theorem ga-com 137
Description: {ga} commutes. (Contributed by la korvo, 31-Jul-2023.)
Assertion
Ref Expression
ga-comgo ga broda gi brode gi ga brode gi broda

Proof of Theorem ga-com
StepHypRef Expression
1 ga-com-lem 136 . 2ganai ga broda gi brode gi ga brode gi broda
2 ga-com-lem 136 . 2ganai ga brode gi broda gi ga broda gi brode
31, 2iso 56 1go ga broda gi brode gi ga brode gi broda
Colors of variables: sumti selbri bridi
Syntax hints:  ga bga 127
This theorem was proved from axioms:  ax-mp 10  ax-k 11  ax-s 14  ax-ge-le 34  ax-ge-re 35  ax-ge-in 36
This theorem depends on definitions:  df-go 52  df-ga 128
This theorem is referenced by:  a-com  142
  Copyright terms: Public domain W3C validator