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Theorem nakuri 217

Description: Reverse inference form of df-naku 211 (Contributed by la korvo, 9-Aug-2023.)

**Hypothesis**
Ref	Expression
nakuri.0	⊢ ganai broda gi gai'o

**Assertion**
Ref	Expression
nakuri	⊢ naku zo'u broda

**Proof of Theorem nakuri**
Step	Hyp	Ref	Expression
1		nakuri.0	. 2 ⊢ ganai broda gi gai'o
2		df-naku 211	. 2 ⊢ go naku zo'u broda gi ganai broda gi gai'o
3	1, 2	bi-rev 70	1 ⊢ naku zo'u broda

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 gai'o bgaiho 209 naku bnk 210

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-naku 211

This theorem is referenced by: na-gaiho 218