nakui - brismu bridi

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

Theorem nakui 215

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

**Hypothesis**
Ref	Expression
nakui.0	⊢ naku zo'u broda

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

**Proof of Theorem nakui**
Step	Hyp	Ref	Expression
1		nakui.0	. 2 ⊢ naku zo'u broda
2		df-naku 211	. 2 ⊢ go naku zo'u broda gi ganai broda gi gai'o
3	1, 2	bi 69	1 ⊢ ganai broda gi gai'o

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-ge-le 34

This theorem depends on definitions: df-go 52 df-naku 211

This theorem is referenced by: nakuii 216