gihari - brismu bridi

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Theorem gihari 165

Description: Inference form of df-giha 163 (Contributed by la korvo, 14-Aug-2023.)

**Hypothesis**
Ref	Expression
gihari.0	⊢ ga ko'a bo'a gi ko'a bo'e

**Assertion**
Ref	Expression
gihari	⊢ ko'a bo'a gi'a bo'e

**Proof of Theorem gihari**
Step	Hyp	Ref	Expression
1		gihari.0	. 2 ⊢ ga ko'a bo'a gi ko'a bo'e
2		df-giha 163	. 2 ⊢ go ko'a bo'a gi'a bo'e gi ga ko'a bo'a gi ko'a bo'e
3	1, 2	bi-rev 80	1 ⊢ ko'a bo'a gi'a bo'e

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ga bga 137 gi'a tgiha 162

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 df-giha 163

This theorem is referenced by: (None)