eqih - brismu bridi

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Theorem eqih 423

Description: Reduced inference from ax-eq 421 (Contributed by la korvo, 22-Jun-2024.)

**Hypothesis**
Ref	Expression
eqih.0	⊢ ganai broda gi ro da zo'u broda

**Assertion**
Ref	Expression
eqih	⊢ go ro da zo'u ganai brode gi broda gi ganai su'o da zo'u brode gi broda

**Proof of Theorem eqih**
Step	Hyp	Ref	Expression
1		eqih.0	. . 3 ⊢ ganai broda gi ro da zo'u broda
2	1	ax-gen1 224	. 2 ⊢ ro da zo'u ganai broda gi ro da zo'u broda
3	2	eqi 422	1 ⊢ go ro da zo'u ganai brode gi broda gi ganai su'o da zo'u brode gi broda

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 ro brd 222

This theorem was proved from axioms: ax-mp 10 ax-gen1 224 ax-eq 421

This theorem is referenced by: wit 424 exlimih 425 exlimdh 426