big1 - brismu bridi

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Theorem big1 226

Description: Modus ponens with generalization. (Contributed by la korvo, 9-Jul-2025.)

**Hypotheses**
Ref	Expression
big1.0	⊢ go ro da zo'u broda gi brode
big1.1	⊢ broda

**Assertion**
Ref	Expression
big1	⊢ brode

**Proof of Theorem big1**
Step	Hyp	Ref	Expression
1		big1.1	. . 3 ⊢ broda
2	1	ax-gen1 224	. 2 ⊢ ro da zo'u broda
3		big1.0	. 2 ⊢ go ro da zo'u broda gi brode
4	2, 3	bi 101	1 ⊢ brode

Colors of variables: sumti selbri bridi

Syntax hints: ro brd 222

This theorem was proved from axioms: ax-mp 10 ax-ge-le 48 ax-gen1 224

This theorem depends on definitions: df-go 83

This theorem is referenced by: exlimih 424