ga-com-lem - brismu bridi

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Theorem ga-com-lem 136

Description: Lemma for ga-com 137 (Contributed by la korvo, 31-Jul-2023.)

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

**Proof of Theorem ga-com-lem**
Step	Hyp	Ref	Expression
1		ga-rin 133	. 2 ⊢ ganai broda gi ga brode gi broda
2		ga-lin 132	. 2 ⊢ ganai brode gi ga brode gi broda
3	1, 2	garii 134	1 ⊢ ganai 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: ga-com 137