poi-gen - brismu bridi

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Theorem poi-gen 375

Description: First-order generalization for restricted quantification. (Contributed by la korvo, 25-Jun-2024.)

**Hypothesis**
Ref	Expression
poi-gen.0	⊢ broda

**Assertion**
Ref	Expression
poi-gen	⊢ ro da poi ke'a bo'a ku'o zo'u broda

**Proof of Theorem poi-gen**
Step	Hyp	Ref	Expression
1		poi-gen.0	. . . 4 ⊢ broda
2	1	ki 12	. . 3 ⊢ ganai da bo'a gi broda
3	2	ax-gen1 179	. 2 ⊢ ro da zo'u ganai da bo'a gi broda
4	3	poi-rori 374	1 ⊢ ro da poi ke'a bo'a ku'o zo'u broda

Colors of variables: sumti selbri bridi

Syntax hints: btb 3 ganai bgan 9

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-gen1 179

This theorem depends on definitions: df-go 52 df-poi-ro 372

This theorem is referenced by: ro-poi 376 refl-kinra 445