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Theorem ori 169

Description: Reverse inference form of df-o 167 (Contributed by la korvo, 9-Aug-2023.)

**Hypothesis**
Ref	Expression
ori.0	⊢ go ko'a bo'a gi ko'e bo'a

**Assertion**
Ref	Expression
ori	⊢ ko'a .o ko'e bo'a

**Proof of Theorem ori**
Step	Hyp	Ref	Expression
1		ori.0	. 2 ⊢ go ko'a bo'a gi ko'e bo'a
2		df-o 167	. 2 ⊢ go ko'a .o ko'e bo'a gi go ko'a bo'a gi ko'e bo'a
3	1, 2	bi-rev 80	1 ⊢ ko'a .o ko'e bo'a

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 go bgo 60 .o sjo 166

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-o 167

This theorem is referenced by: o-refl 172 simsa-mintu 342