ga-idem - brismu bridi

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Theorem ga-idem 171

Description: {ga} is idempotent. (Contributed by la korvo, 15-Aug-2024.)

**Assertion**
Ref	Expression
ga-idem	⊢ go ga broda gi broda gi broda

**Proof of Theorem ga-idem**
Step	Hyp	Ref	Expression
1		id 19	. . 3 ⊢ ganai broda gi broda
2	1, 1	ga-sum 167	. 2 ⊢ ganai ga broda gi broda gi broda
3		ga-lin 165	. 2 ⊢ ganai broda gi ga broda gi broda
4	2, 3	iso 87	1 ⊢ go ga broda gi broda 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: (None)