gihonaii - brismu bridi

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Theorem gihonaii 313

Description: Inference form of df-gihonai 312 (Contributed by la korvo, 14-Aug-2023.)

**Hypothesis**
Ref	Expression
gihonaii.0	⊢ ko'a bo'a gi'onai bo'e

**Assertion**
Ref	Expression
gihonaii	⊢ gonai ko'a bo'a gi ko'a bo'e

**Proof of Theorem gihonaii**
Step	Hyp	Ref	Expression
1		gihonaii.0	. 2 ⊢ ko'a bo'a gi'onai bo'e
2		df-gihonai 312	. 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 101	1 ⊢ gonai ko'a bo'a gi ko'a bo'e

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 gonai bgon 297 gi'onai tgihonai 311

This theorem was proved from axioms: ax-mp 10 ax-ge-le 48

This theorem depends on definitions: df-go 83 df-gihonai 312

This theorem is referenced by: (None)