succ-zero-ref - brismu bridi

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Theorem succ-zero-ref 582

Description: Refutation of any claimed predecessor to zero. (Contributed by la korvo, 20-Aug-2023.)

**Hypothesis**
Ref	Expression
succ-zero-ref.0	⊢ ko'a kacli'e li no

**Assertion**
Ref	Expression
succ-zero-ref	⊢ gai'o

**Proof of Theorem succ-zero-ref**
Step	Hyp	Ref	Expression
1		ax-succ-zero 581	. 2 ⊢ naku ko'a kacli'e li no
2		succ-zero-ref.0	. 2 ⊢ ko'a kacli'e li no
3	1, 2	nakuii 278	1 ⊢ gai'o

Colors of variables: sumti selbri bridi

Syntax hints: kacli'e bkaclihe 579

This theorem was proved from axioms: ax-mp 10 ax-ge-le 48 ax-succ-zero 581

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

This theorem is referenced by: (None)