ga-idem - brismu bridi

	brismu bridi		< Previous Next > Nearby theorems
Mirrors > Home > Home > Th. List > ga-idem

Theorem ga-idem 135

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 17	. . 3 ⊢ ganai broda gi broda
2	1, 1	garii 134	. 2 ⊢ ganai ga broda gi broda gi broda
3		ga-lin 132	. 2 ⊢ ganai broda gi ga broda gi broda
4	2, 3	iso 56	1 ⊢ go ga broda gi broda 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: (None)