giheri - brismu bridi

	brismu bridi		< Previous Next > Nearby theorems
Mirrors > Home > Home > Th. List > giheri

Theorem giheri 158

Description: Inference form of df-gihe 156 (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 156	. 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 102	1 ⊢ ko'a bo'a gi'e bo'e

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ge bge 47 gi'e tgihe 155

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-gihe 156

This theorem is referenced by: giherii 159