ge-com-lem - brismu bridi

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Theorem ge-com-lem 119

Description: Lemma for ge-com 120 showing that {ge} is commutative in one direction. (Contributed by la korvo, 31-Jul-2023.)

**Assertion**
Ref	Expression
ge-com-lem	⊢ ganai ge broda gi brode gi ge brode gi broda

**Proof of Theorem ge-com-lem**
Step	Hyp	Ref	Expression
1		ge-in-swap12 52	. 2 ⊢ ganai broda gi ganai brode gi ge brode gi broda
2	1	cur 53	1 ⊢ ganai ge broda gi brode gi ge brode gi broda

Colors of variables: sumti selbri bridi

Syntax hints: ge bge 42

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 is referenced by: ge-com 120 ge-go 121