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Mirrors > Home > LLPE Home > Th. List > ax-lock1 | Structured version |
Description: Reading from a channel with nothing writing to it causes a deadlock. |
Ref | Expression |
---|---|
ax-lock1 | ⊦ (νx? [x ≫ a] 1 ⊸ 0) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wone 103 | . . . . 5 wff 1 | |
2 | va | . . . . 5 var a | |
3 | vx | . . . . . 6 var x | |
4 | 3 | nvar 203 | . . . . 5 nilad x |
5 | 1, 2, 4 | wre 205 | . . . 4 wff [x ≫ a] 1 |
6 | 5 | wne 48 | . . 3 wff ? [x ≫ a] 1 |
7 | 6, 3 | wnu 206 | . 2 wff νx? [x ≫ a] 1 |
8 | wzero 129 | . 2 wff 0 | |
9 | 7, 8 | wli 61 | 1 wff (νx? [x ≫ a] 1 ⊸ 0) |
Colors of variables: wff var nilad |
This axiom is referenced by: (None) |
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