lnci - brismu bridi

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Theorem lnci 214

Description: The law of non-contradiction. If a bridi is simultaneously inhabited and uninhabited, then we reach an absurdity. (Contributed by la korvo, 20-Aug-2023.)

**Hypothesis**
Ref	Expression
lnci.0	⊢ ge broda gi naku zo'u broda

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

**Proof of Theorem lnci**
Step	Hyp	Ref	Expression
1		lnci.0	. . 3 ⊢ ge broda gi naku zo'u broda
2		ge-com 110	. . 3 ⊢ go ge broda gi naku zo'u broda gi ge naku zo'u broda gi broda
3	1, 2	bi 69	. 2 ⊢ ge naku zo'u broda gi broda
4		naku-uncur 212	. 2 ⊢ ganai ge naku zo'u broda gi broda gi gai'o
5	3, 4	ax-mp 10	1 ⊢ gai'o

Colors of variables: sumti selbri bridi

Syntax hints: 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)

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