bi2 - brismu bridi

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Theorem bi2 67

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

**Assertion**
Ref	Expression
bi2	⊢ ganai go broda gi brode gi ganai brode gi broda

**Proof of Theorem bi2**
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-lei 46	. 2 ⊢ ganai go broda gi brode gi ge ganai broda gi brode gi ganai brode gi broda
3	2	ge-red 49	1 ⊢ ganai go broda gi brode gi ganai brode gi broda

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-le 43 ax-ge-re 44

This theorem depends on definitions: df-go 61

This theorem is referenced by: go-com-lem 74