lnc - brismu bridi

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Theorem lnc 213

Description: The law of non-contradiction. No bridi is simultaneously inhabited and uninhabited. (Contributed by la korvo, 19-Sep-2024.)

**Assertion**
Ref	Expression
lnc	⊢ naku zo'u ge naku zo'u broda gi broda

**Proof of Theorem lnc**
Step	Hyp	Ref	Expression
1		naku-uncur 212	. 2 ⊢ ganai ge naku zo'u broda gi broda gi gai'o
2		df-naku 211	. 2 ⊢ go naku zo'u ge naku zo'u broda gi broda gi ganai ge naku zo'u broda gi broda gi gai'o
3	1, 2	bi-rev 70	1 ⊢ naku zo'u ge naku zo'u broda gi broda

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 ge bge 33 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: (None)