anairi - brismu bridi

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Theorem anairi 119

Description: Reverse inference form of df-anai 116 (Contributed by la korvo, 16-Aug-2023.)

**Hypothesis**
Ref	Expression
anairi.0	⊢ ganai ko'a bo'a gi ko'e bo'a

**Assertion**
Ref	Expression
anairi	⊢ ko'e .anai ko'a bo'a

**Proof of Theorem anairi**
Step	Hyp	Ref	Expression
1		anairi.0	. 2 ⊢ ganai ko'a bo'a gi ko'e bo'a
2		df-anai 116	. 2 ⊢ go ko'e .anai ko'a bo'a gi ganai ko'a bo'a gi ko'e bo'a
3	1, 2	bi-rev 102	1 ⊢ ko'e .anai ko'a bo'a

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ganai bgan 9 .anai sjanai 115

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-anai 116

This theorem is referenced by: (None)