bi3 - brismu bridi

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Theorem bi3 59

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 52	. . 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 39	. 2 ⊢ ganai ge ganai broda gi brode gi ganai brode gi broda gi go broda gi brode
3	2	uncur 45	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 33 go bgo 51

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 14 ax-ge-re 35 ax-ge-in 36

This theorem depends on definitions: df-go 52

This theorem is referenced by: isodd 60