duri - brismu bridi

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Theorem duri 218

Description: Reverse inference form of df-du 215 (Contributed by la korvo, 18-Jul-2023.)

**Hypothesis**
Ref	Expression
duri.0	⊢ ro bu'a zo'u ko'a .o ko'e bu'a

**Assertion**
Ref	Expression
duri	⊢ ko'a du ko'e

**Proof of Theorem duri**
Step	Hyp	Ref	Expression
1		duri.0	. 2 ⊢ ro bu'a zo'u ko'a .o ko'e bu'a
2		df-du 215	. 2 ⊢ go ko'a du ko'e gi ro bu'a zo'u ko'a .o ko'e bu'a
3	1, 2	bi-rev 80	1 ⊢ ko'a du ko'e

Colors of variables: sumti selbri bridi

Syntax hints: .o sjo 166 ro brb 192 du sbdu 214

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-du 215

This theorem is referenced by: duris 219