gihanaiii - brismu bridi

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Theorem gihanaiii 107

Description: Inference form of df-gihanai 105 (Contributed by la korvo, 16-Aug-2023.)

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

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

**Proof of Theorem gihanaiii**
Step	Hyp	Ref	Expression
1		gihanaiii.1	. 2 ⊢ ko'a bo'a
2		gihanaiii.0	. . 3 ⊢ ko'a bo'e gi'anai bo'a
3	2	gihanaii 106	. 2 ⊢ ganai ko'a bo'a gi ko'a bo'e
4	1, 3	ax-mp 10	1 ⊢ ko'a bo'e

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-gihanai 105

This theorem is referenced by: (None)