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| Mirrors > Home > LLPE Home > Th. List > ax-nue | Structured version | |
| Description: A variable abstraction can be eliminated if the expression is free in that variable. |
| Ref | Expression |
|---|---|
| ax-nue | ⊦ (νx𝜑 ⊸ 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wph | . . 3 wff 𝜑 | |
| 2 | vx | . . 3 var x | |
| 3 | 1, 2 | wnu 206 | . 2 wff νx𝜑 |
| 4 | 3, 1 | wli 61 | 1 wff (νx𝜑 ⊸ 𝜑) |
| Colors of variables: wff var nilad |
| This axiom is referenced by: (None) |
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