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| Mirrors > Home > LLPE Home > Th. List > ax-subnu1 | Structured version | |
| Ref | Expression |
|---|---|
| ax-subnu1 | ⊦ ([x ≔ y] νx𝜑 ⧟ νx𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wph | . . . 4 wff 𝜑 | |
| 2 | vx | . . . 4 var x | |
| 3 | 1, 2 | wnu 206 | . . 3 wff νx𝜑 |
| 4 | vy | . . . 4 var y | |
| 5 | 4 | nvar 203 | . . 3 nilad y |
| 6 | 3, 2, 5 | wsub 207 | . 2 wff [x ≔ y] νx𝜑 |
| 7 | 6, 3 | wlb 55 | 1 wff ([x ≔ y] νx𝜑 ⧟ νx𝜑) |
| Colors of variables: wff var nilad |
| This axiom is referenced by: (None) |
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