onairi - brismu bridi

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Theorem onairi 269

Description: Reverse inference form of df-onai 267 (Contributed by la korvo, 16-Aug-2023.)

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

**Assertion**
Ref	Expression
onairi	⊢ ko'a .onai ko'e bo'a

**Proof of Theorem onairi**
Step	Hyp	Ref	Expression
1		onairi.0	. 2 ⊢ gonai ko'a bo'a gi ko'e bo'a
2		df-onai 267	. 2 ⊢ go ko'a .onai ko'e bo'a gi gonai ko'a bo'a gi ko'e bo'a
3	1, 2	bi-rev 80	1 ⊢ ko'a .onai ko'e bo'a

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 gonai bgon 260 .onai sjonai 266

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-onai 267

This theorem is referenced by: (None)