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| Mirrors > Home > LLPE Home > Th. List > ax-nuf | Structured version | |
| Description: x is free in νx. |
| Ref | Expression |
|---|---|
| ax-nuf | ⊦ (νxνx𝜑 ⊸ νx𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wph | . . . 4 wff 𝜑 | |
| 2 | vx | . . . 4 var x | |
| 3 | 1, 2 | wnu 206 | . . 3 wff νx𝜑 |
| 4 | 3, 2 | wnu 206 | . 2 wff νxνx𝜑 |
| 5 | 4, 3 | wli 61 | 1 wff (νxνx𝜑 ⊸ νx𝜑) |
| Colors of variables: wff var nilad |
| This axiom is referenced by: (None) |
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