du-sym-go - brismu bridi

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Theorem du-sym-go 225

Description: An internal version of du-symi 223 (Contributed by la korvo, 4-Jan-2025.)

**Assertion**
Ref	Expression
du-sym-go	⊢ go ko'a du ko'e gi ko'e du ko'a

**Proof of Theorem du-sym-go**
Step	Hyp	Ref	Expression
1		du-sym-ganai 224	. 2 ⊢ ganai ko'a du ko'e gi ko'e du ko'a
2		du-sym-ganai 224	. 2 ⊢ ganai ko'e du ko'a gi ko'a du ko'e
3	1, 2	iso 65	1 ⊢ go ko'a du ko'e gi ko'e du ko'a

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-qi2 204 ax-du-trans 222

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

This theorem is referenced by: (None)