mpg1 - brismu bridi

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Theorem mpg1 225

Description: Modus ponens with generalization. (Contributed by la korvo, 3-Jan-2025.)

**Hypotheses**
Ref	Expression
mpg1.0	⊢ ganai ro da zo'u broda gi brode
mpg1.1	⊢ broda

**Assertion**
Ref	Expression
mpg1	⊢ brode

**Proof of Theorem mpg1**
Step	Hyp	Ref	Expression
1		mpg1.1	. . 3 ⊢ broda
2	1	ax-gen1 224	. 2 ⊢ ro da zo'u broda
3		mpg1.0	. 2 ⊢ ganai ro da zo'u broda gi brode
4	2, 3	ax-mp 10	1 ⊢ brode

Colors of variables: sumti selbri bridi

Syntax hints: ro brd 222

This theorem was proved from axioms: ax-mp 10 ax-gen1 224

This theorem is referenced by: qi1q 237 eximi 427