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Theorem nakui 277

Description: Inference form of df-naku 273 (Contributed by la korvo, 9-Aug-2023.)

**Hypothesis**
Ref	Expression
nakui.0	⊢ naku broda

**Assertion**
Ref	Expression
nakui	⊢ ganai broda gi gai'o

**Proof of Theorem nakui**
Step	Hyp	Ref	Expression
1		nakui.0	. 2 ⊢ naku broda
2		df-naku 273	. 2 ⊢ go naku broda gi ganai broda gi gai'o
3	1, 2	bi 101	1 ⊢ ganai broda gi gai'o

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 gai'o bgaiho 271 naku bnk 272

This theorem was proved from axioms: ax-mp 10 ax-ge-le 48

This theorem depends on definitions: df-go 83 df-naku 273

This theorem is referenced by: nakuii 278