giheri - brismu bridi

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Theorem giheri 125

Description: Inference form of df-gihe 123 (Contributed by la korvo, 14-Aug-2023.)

**Hypothesis**
Ref	Expression
giheri.0	⊢ ge ko'a bo'a gi ko'a bo'e

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

**Proof of Theorem giheri**
Step	Hyp	Ref	Expression
1		giheri.0	. 2 ⊢ ge ko'a bo'a gi ko'a bo'e
2		df-gihe 123	. 2 ⊢ go ko'a bo'a gi'e bo'e gi ge ko'a bo'a gi ko'a bo'e
3	1, 2	bi-rev 70	1 ⊢ ko'a bo'a gi'e bo'e

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ge bge 33 gi'e tgihe 122

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-gihe 123

This theorem is referenced by: giherii 126