Test "nat-rec-k-lie"
Expected: ✋ reject · Size: 6.3 KB · Lines: 106 · lean4export: 3.1.0 · Lean: 4.29.1 · 📄 Declaration
Proof of False via trusted k on Nat.rec.
Lie by claiming Nat.rec is K-like. Then replace the major premise by Nat.zero,
but nat literals bypasses K-like reduction, so two reduction rules disagree.
∀ n, g n holds by the first, and g 1 is False by the second.
| Checker | Result | ⏱️ | 🧠 | |||
|---|---|---|---|---|---|---|
| mathgraph | ✋ | 1 ms | 34.0 MB | |||
| ind-models | ✋ | 58 ms | 102.6 MB | |||
| official-nightly | ✋ | 28 ms | 65.1 MB | |||
| evmlean | ✋ | 610 ms | 133.3 MB | |||
| nanoda | ✋ | 1 ms | 3.1 MB | |||
| mini | ✋ | 34 ms | 74.3 MB | |||
| lean4lean | ✋ | 82 ms | 99.1 MB | |||
| sokonanoda | ✋ | 1 ms | 33.8 MB | |||
| zignodamus | ✋ | 1 ms | 4.8 MB | |||
| nanoclo | ✋ | 1 ms | 45.5 MB | |||
| nanobruijn | ✋ | 1 ms | 8.6 MB | |||
| kiota | ✋ | 1 ms | 6.9 MB | |||
| official | ✋ | 28 ms | 65.3 MB | |||
| vow-lean-kernel | ✋ | 84 ms | 8.0 MB | |||
| rpylean | ✋ | 1 ms | 8.2 MB | |||
| official-v4.28.0 | ✋ | 35 ms | 71.9 MB | |||
| still-nanoda | ✋ | 1 ms | 2.9 MB | |||
| nyaya | ✋ | 2 ms | 9.4 MB | |||
| parse-only | 👍 | 27 ms | 62.4 MB |