gihanairi - brismu bridi

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Theorem gihanairi 118

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

**Hypothesis**
Ref	Expression
gihanairi.0	⊢ ganai ko'a bo'e gi ko'a bo'a

**Assertion**
Ref	Expression
gihanairi	⊢ ko'a bo'a gi'anai bo'e

**Proof of Theorem gihanairi**
Step	Hyp	Ref	Expression
1		gihanairi.0	. 2 ⊢ ganai ko'a bo'e gi ko'a bo'a
2		df-gihanai 115	. 2 ⊢ go ko'a bo'a gi'anai bo'e gi ganai ko'a bo'e gi ko'a bo'a
3	1, 2	bi-rev 80	1 ⊢ ko'a bo'a gi'anai 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-k 11 ax-s 15 ax-ge-le 43 ax-ge-re 44 ax-ge-in 45

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

This theorem is referenced by: (None)