eqi - brismu bridi

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Theorem eqi 421

Description: Inference form of ax-eq 420 (Contributed by la korvo, 22-Jun-2024.)

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

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

**Proof of Theorem eqi**
Step	Hyp	Ref	Expression
1		eqi.0	. 2 ⊢ ro da zo'u ganai broda gi ro da zo'u broda
2		ax-eq 420	. 2 ⊢ ganai ro da zo'u ganai broda gi ro da zo'u broda gi go ro da zo'u ganai brode gi broda gi ganai su'o da zo'u brode gi broda
3	1, 2	ax-mp 10	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 go bgo 82 ro brd 222 su'o bsd 414

This theorem was proved from axioms: ax-mp 10 ax-eq 420

This theorem is referenced by: eqih 422