ga-com-lem - brismu bridi

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Theorem ga-com-lem 172

Description: Lemma for ga-com 173 (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 166	. 2 ⊢ ganai broda gi ga brode gi broda
2		ga-lin 165	. 2 ⊢ ganai brode gi ga brode gi broda
3	1, 2	ga-sum 167	1 ⊢ ganai ga broda gi brode gi ga brode gi broda

Colors of variables: sumti selbri bridi

Syntax hints: ga bga 160

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 48 ax-ge-re 49 ax-ge-in 50

This theorem depends on definitions: df-go 83 df-ga 161

This theorem is referenced by: ga-com 173