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