Linear Logic Proof Explorer |
< Previous
Next >
Nearby theorems |
|
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) |
Copyright terms: Public domain | W3C validator |