se-du-elim - brismu bridi

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Theorem se-du-elim 226

Description: {se du} may be replaced with {du}. Theorem Cat.Allegory.Base.dual-id in [1Lab] p. 0. (Contributed by la korvo, 9-Jul-2023.)

**Hypothesis**
Ref	Expression
se-du-elim.0	⊢ ko'a se du ko'e

**Assertion**
Ref	Expression
se-du-elim	⊢ ko'a du ko'e

**Proof of Theorem se-du-elim**
Step	Hyp	Ref	Expression
1		se-du-elim.0	. . 3 ⊢ ko'a se du ko'e
2	1	sei 183	. 2 ⊢ ko'e du ko'a
3	2	du-symi 223	1 ⊢ ko'a du ko'e

Colors of variables: sumti selbri bridi

Syntax hints: 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 ax-gen2 195 ax-spec2 199 ax-qi2 204

This theorem depends on definitions: df-go 61 df-o 167 df-se 182 df-du 215

This theorem is referenced by: (None)