eri - brismu bridi

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Theorem eri 117

Description: Reverse inference form of df-e 115 (Contributed by la korvo, 17-Jul-2023.)

**Hypothesis**
Ref	Expression
eri.0	⊢ ge ko'a bo'a gi ko'e bo'a

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

**Proof of Theorem eri**
Step	Hyp	Ref	Expression
1		eri.0	. 2 ⊢ ge ko'a bo'a gi ko'e bo'a
2		df-e 115	. 2 ⊢ go ko'a .e ko'e bo'a gi ge ko'a bo'a gi ko'e bo'a
3	1, 2	bi-rev 70	1 ⊢ ko'a .e ko'e bo'a

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ge bge 33 .e sje 114

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 14 ax-ge-le 34 ax-ge-re 35 ax-ge-in 36

This theorem depends on definitions: df-go 52 df-e 115

This theorem is referenced by: pameiii 255 simsarii 288 kazmi-funii 523