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Theorem nakuri 243

Description: Reverse inference form of df-naku 237 (Contributed by la korvo, 9-Aug-2023.)

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

**Assertion**
Ref	Expression
nakuri	⊢ naku broda

**Proof of Theorem nakuri**
Step	Hyp	Ref	Expression
1		nakuri.0	. 2 ⊢ ganai broda gi gai'o
2		df-naku 237	. 2 ⊢ go naku broda gi ganai broda gi gai'o
3	1, 2	bi-rev 80	1 ⊢ naku broda

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 gai'o bgaiho 235 naku bnk 236

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-naku 237

This theorem is referenced by: na-gaiho 244