ro2-bi-rev - brismu bridi

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Theorem ro2-bi-rev 195

Description: Biconditional modus ponens under {ro bu'a}. (Contributed by la korvo, 16-Aug-2023.)

**Hypotheses**
Ref	Expression
ro2-bi-rev.0	⊢ ro bu'a zo'u broda
ro2-bi-rev.1	⊢ go brode gi broda

**Assertion**
Ref	Expression
ro2-bi-rev	⊢ ro bu'a zo'u brode

**Proof of Theorem ro2-bi-rev**
Step	Hyp	Ref	Expression
1		ro2-bi-rev.0	. 2 ⊢ ro bu'a zo'u broda
2		ro2-bi-rev.1	. . . 4 ⊢ go brode gi broda
3	2	go-comi 66	. . 3 ⊢ go broda gi brode
4	3	go-ganai 54	. 2 ⊢ ganai broda gi brode
5	1, 4	ro2-mp 193	1 ⊢ ro bu'a zo'u brode

Colors of variables: sumti selbri bridi

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 14 ax-ge-le 34 ax-ge-re 35 ax-ge-in 36 ax-gen2 180 ax-qi2 188

This theorem depends on definitions: df-go 52

This theorem is referenced by: (None)