ari - brismu bridi

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Theorem ari 155

Description: Inference form of df-a 153 (Contributed by la korvo, 14-Aug-2023.)

**Hypothesis**
Ref	Expression
ari.0	⊢ ga ko'a bo'a gi ko'e bo'a

**Assertion**
Ref	Expression
ari	⊢ ko'a .a ko'e bo'a

**Proof of Theorem ari**
Step	Hyp	Ref	Expression
1		ari.0	. 2 ⊢ ga ko'a bo'a gi ko'e bo'a
2		df-a 153	. 2 ⊢ go ko'a .a ko'e bo'a gi ga ko'a bo'a gi ko'e bo'a
3	1, 2	bi-rev 80	1 ⊢ ko'a .a ko'e bo'a

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ga bga 137 .a sja 152

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-a 153

This theorem is referenced by: (None)