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| Mirrors > Home > LLPE Home > Th. List > ax-genOLD | Structured version | |
| Description: Axiom of generalization. Universal quantifiers can be freely added to the start of an expression. |
| Ref | Expression |
|---|---|
| ax-genOLD.1 | ⊦ 𝜑 |
| Ref | Expression |
|---|---|
| ax-genOLD | ⊦ ∀x𝜑 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wph | . 2 wff 𝜑 | |
| 2 | vx | . 2 var x | |
| 3 | 1, 2 | wal 318 | 1 wff ∀x𝜑 |
| Colors of variables: wff var nilad |
| This axiom is referenced by: (None) |
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