bi3 - brismu bridi

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Theorem bi3 68

Description: Property of biconditionals. (Contributed by la korvo, 31-Jul-2023.)

**Assertion**
Ref	Expression
bi3	⊢ ganai ganai broda gi brode gi ganai ganai brode gi broda gi go broda gi brode

**Proof of Theorem bi3**
Step	Hyp	Ref	Expression
1		df-go 61	. . 3 ⊢ ge ganai go broda gi brode gi ge ganai broda gi brode gi ganai brode gi broda gi ganai ge ganai broda gi brode gi ganai brode gi broda gi go broda gi brode
2	1	ge-rei 48	. 2 ⊢ ganai ge ganai broda gi brode gi ganai brode gi broda gi go broda gi brode
3	2	uncur 54	1 ⊢ ganai ganai broda gi brode gi ganai ganai brode gi broda gi go broda gi brode

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 ge bge 42 go bgo 60

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-re 44 ax-ge-in 45

This theorem depends on definitions: df-go 61

This theorem is referenced by: isodd 70