ge-idem - brismu bridi

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Theorem ge-idem 123

Description: {ge} is idempotent. (Contributed by la korvo, 15-Aug-2024.) (Strengthened by la korvo, 21-Aug-2024.)

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

**Proof of Theorem ge-idem**
Step	Hyp	Ref	Expression
1		ax-ge-le 43	. 2 ⊢ ganai ge broda gi broda gi broda
2		ge-diag 122	. 2 ⊢ ganai broda gi ge broda gi broda
3	1, 2	iso 65	1 ⊢ go ge broda gi broda 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 depends on definitions: df-go 61

This theorem is referenced by: (None)