ro2-mp - brismu bridi

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Theorem ro2-mp 193

Description: Modus ponens under {ro bu'a}. (Contributed by la korvo, 23-Jun-2024.)

**Hypotheses**
Ref	Expression
ro2-mp.0	⊢ ro bu'a zo'u broda
ro2-mp.1	⊢ ganai broda gi brode

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

**Proof of Theorem ro2-mp**
Step	Hyp	Ref	Expression
1		ro2-mp.1	. . 3 ⊢ ganai broda gi brode
2	1	ax-gen2 180	. 2 ⊢ ro bu'a zo'u ganai broda gi brode
3		ro2-mp.0	. 2 ⊢ ro bu'a zo'u broda
4	2, 3	qi2-mp 190	1 ⊢ ro bu'a zo'u brode

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9

This theorem was proved from axioms: ax-mp 10 ax-gen2 180 ax-qi2 188

This theorem is referenced by: ro2-bi 194 ro2-bi-rev 195 duris 201