Test "rec-k-lie"
Expected: ✋ reject · Size: 5.3 KB · Lines: 87 · lean4export: 3.1.0 · Lean: 4.29.1 · 📄 Declaration · 🔗 Source
False theorem via trusted k on a recursor.
Define MyBool with two constructors, and lie by claiming its recursor is K-like,
so the major premise is replaced by the first constructor without being examined.
disc MyBool.true is then True rather than False.
MyBool rather than Bool because a module that overwrites an imported constant
cannot be re-imported by the exporter.
| Checker | Result | ⏱️ | 🧠 | |||
|---|---|---|---|---|---|---|
| mathgraph | ✋ | 1 ms | 32.0 MB | |||
| ind-models | ✋ | 58 ms | 100.5 MB | |||
| official-nightly | ✋ | 28 ms | 66.7 MB | |||
| evmlean | ✋ | 577 ms | 133.1 MB | |||
| nanoda | ✋ | 1 ms | 3.2 MB | |||
| mini | ✋ | 34 ms | 72.4 MB | |||
| lean4lean | ✋ | 76 ms | 99.7 MB | |||
| sokonanoda | ✋ | 1 ms | 31.8 MB | |||
| zignodamus | ✋ | 0 ms | 4.2 MB | |||
| nanoclo | ✋ | 1 ms | 47.6 MB | |||
| nanobruijn | ✋ | 1 ms | 7.2 MB | |||
| kiota | ✋ | 1 ms | 6.9 MB | |||
| official | ✋ | 28 ms | 65.7 MB | |||
| vow-lean-kernel | ✋ | 83 ms | 8.1 MB | |||
| rpylean | ✋ | 1 ms | 8.4 MB | |||
| official-v4.28.0 | ✋ | 34 ms | 71.4 MB | |||
| still-nanoda | 👍 | 1 ms | 3.0 MB | |||
| nyaya | ✋ | 2 ms | 9.4 MB | |||
| parse-only | 👍 | 27 ms | 61.4 MB |