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Theorem ge-com-lem 109
Description: Lemma for ge-com 110 showing that {ge} is commutative in one direction. (Contributed by la korvo, 31-Jul-2023.)
Assertion
Ref Expression
ge-com-lemganai ge broda gi brode gi ge brode gi broda

Proof of Theorem ge-com-lem
StepHypRef Expression
1 ge-in-swap12 43 . 2ganai broda gi ganai brode gi ge brode gi broda
21cur 44 1ganai ge broda gi brode gi ge brode gi broda
Colors of variables: sumti selbri bridi
Syntax hints:  ge bge 33
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 is referenced by:  ge-com  110  ge-go  111
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