nakuii - brismu bridi

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Theorem nakuii 279

Description: Inference form of df-naku 274 (Contributed by la korvo, 9-Aug-2023.)

**Hypotheses**
Ref	Expression
nakuii.0	⊢ naku broda
nakuii.1	⊢ broda

**Assertion**
Ref	Expression
nakuii	⊢ gai'o

**Proof of Theorem nakuii**
Step	Hyp	Ref	Expression
1		nakuii.1	. 2 ⊢ broda
2		nakuii.0	. . 3 ⊢ naku broda
3	2	nakui 278	. 2 ⊢ ganai broda gi gai'o
4	1, 3	ax-mp 10	1 ⊢ gai'o

Colors of variables: sumti selbri bridi

Syntax hints: gai'o bgaiho 272

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

This theorem depends on definitions: df-go 83 df-naku 274

This theorem is referenced by: nomei-gaiho 326 succ-zero-ref 588 gt-zero-ref 622