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Theorem go-com-lem 64
Description: Lemma: {go} commutes in one direction. (Contributed by la korvo, 31-Jul-2023.)
Assertion
Ref Expression
go-com-lemganai go broda gi brode gi go brode gi broda

Proof of Theorem go-com-lem
StepHypRef Expression
1 bi2 58 . 2ganai go broda gi brode gi ganai brode gi broda
2 bi1 57 . 2ganai go broda gi brode gi ganai broda gi brode
31, 2isod 62 1ganai go broda gi brode gi go brode gi broda
Colors of variables: sumti selbri bridi
Syntax hints:  go bgo 51
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
This theorem is referenced by:  go-com  65  go-comi  66
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