anairi - brismu bridi

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

Theorem anairi 87

Description: Reverse inference form of df-anai 84 (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 84	. 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 70	1 ⊢ ko'e .anai ko'a bo'a

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ganai bgan 9 .anai sjanai 83

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 14 ax-ge-le 34 ax-ge-re 35 ax-ge-in 36

This theorem depends on definitions: df-go 52 df-anai 84

This theorem is referenced by: (None)