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Theorem ga-com-lem 146
Description: Lemma for ga-com 147 (Contributed by la korvo, 31-Jul-2023.)
Assertion
Ref Expression
ga-com-lemganai ga broda gi brode gi ga brode gi broda

Proof of Theorem ga-com-lem
StepHypRef Expression
1 ga-rin 143 . 2ganai broda gi ga brode gi broda
2 ga-lin 142 . 2ganai brode gi ga brode gi broda
31, 2garii 144 1ganai ga broda gi brode gi ga brode gi broda
Colors of variables: sumti selbri bridi
Syntax hints:  ga bga 137
This theorem was proved from axioms:  ax-mp 10  ax-k 11  ax-s 15  ax-ge-le 43  ax-ge-re 44  ax-ge-in 45
This theorem depends on definitions:  df-go 61  df-ga 138
This theorem is referenced by:  ga-com  147
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