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| Mirrors > Home > PE Home > Th. List > ax-GEN | |||
| Description: Rule of Generalization. |
| Ref | Expression |
|---|---|
| ax-GEN.1 | ⊢ 𝜑 |
| Ref | Expression |
|---|---|
| ax-GEN | ⊢ ∀𝑥𝜑 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wff-ph | . 2 wff 𝜑 | |
| 2 | objvar-x | . 2 objvar 𝑥 | |
| 3 | 1, 2 | wff-forall 8 | 1 wff ∀𝑥𝜑 |
| Colors of variables: wff objvar term class |
| This axiom is referenced by: alloverim-P5.RC.GEN 592 dalloverim-P5.RC.GEN 593 suballinf-P5 594 alloverimex-P5.RC.GEN 603 dalloverimex-P5.RC.GEN 607 nfrterm-P6 779 psubthm-P6 786 |
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