gihonairi - brismu bridi

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Theorem gihonairi 277

Description: Inference form of df-gihonai 275 (Contributed by la korvo, 14-Aug-2023.)

**Hypothesis**
Ref	Expression
gihonairi.0	⊢ gonai ko'a bo'a gi ko'a bo'e

**Assertion**
Ref	Expression
gihonairi	⊢ ko'a bo'a gi'onai bo'e

**Proof of Theorem gihonairi**
Step	Hyp	Ref	Expression
1		gihonairi.0	. 2 ⊢ gonai ko'a bo'a gi ko'a bo'e
2		df-gihonai 275	. 2 ⊢ go ko'a bo'a gi'onai bo'e gi gonai ko'a bo'a gi ko'a bo'e
3	1, 2	bi-rev 80	1 ⊢ ko'a bo'a gi'onai bo'e

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 gonai bgon 260 gi'onai tgihonai 274

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-gihonai 275

This theorem is referenced by: (None)