gihanaii - brismu bridi

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Theorem gihanaii 116

Description: Inference form of df-gihanai 115 (Contributed by la korvo, 16-Aug-2023.)

**Hypothesis**
Ref	Expression
gihanaii.0	⊢ ko'a bo'e gi'anai bo'a

**Assertion**
Ref	Expression
gihanaii	⊢ ganai ko'a bo'a gi ko'a bo'e

**Proof of Theorem gihanaii**
Step	Hyp	Ref	Expression
1		gihanaii.0	. 2 ⊢ ko'a bo'e gi'anai bo'a
2		df-gihanai 115	. 2 ⊢ go ko'a bo'e gi'anai bo'a gi ganai ko'a bo'a gi ko'a bo'e
3	1, 2	bi 79	1 ⊢ ganai ko'a bo'a gi ko'a bo'e

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ganai bgan 9 gi'anai tgihanai 114

This theorem was proved from axioms: ax-mp 10 ax-ge-le 43

This theorem depends on definitions: df-go 61 df-gihanai 115

This theorem is referenced by: gihanaiii 117