anaiii - brismu bridi

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Theorem anaiii 86

Description: Inference form of df-anai 84 (Contributed by la korvo, 16-Aug-2023.)

**Hypotheses**
Ref	Expression
anaiii.0	⊢ ko'e .anai ko'a bo'a
anaiii.1	⊢ ko'a bo'a

**Assertion**
Ref	Expression
anaiii	⊢ ko'e bo'a

**Proof of Theorem anaiii**
Step	Hyp	Ref	Expression
1		anaiii.1	. 2 ⊢ ko'a bo'a
2		anaiii.0	. . 3 ⊢ ko'e .anai ko'a bo'a
3	2	anaii 85	. 2 ⊢ ganai ko'a bo'a gi ko'e bo'a
4	1, 3	ax-mp 10	1 ⊢ ko'e bo'a

Colors of variables: sumti selbri bridi

Syntax hints: btb 3

This theorem was proved from axioms: ax-mp 10 ax-ge-le 34

This theorem depends on definitions: df-go 52 df-anai 84

This theorem is referenced by: (None)