Lean Kernel Arena / corner-cases/alg-conv-trans-quot

Test "corner-cases/alg-conv-trans-quot"

Expected: 🤷 either · Size: 8.5 KB · Lines: 169 · lean4export: 3.1.0 · Lean: 4.29.1 · 📄 Declaration · 🔗 Source

left composed with right. Quotients of propositions cause algorithmic conversion transitivity to fail because the typechecker must creatively synthesise the representative of the quotient, and proof irrelevance is definitional.

References:

  • Mario Carneiro, The Type Theory of Lean, MSc thesis
Checker Result ⏱️ 🧠
mathgraph ✋ 1 ms 33.8 MB
sokonanoda ✋ 1 ms 33.6 MB
nanoclo ✋ 1 ms 37.6 MB
con-ron ✋ 23 ms 58.7 MB
lazylean ✋ 1 ms 21.3 MB
nanoda ✋ 1 ms 3.1 MB
nanobruijn ✋ 1 ms 8.9 MB
con-leche ✋ 4 ms 20.0 MB
eink0rn ✋ 2 ms 12.0 MB
ind-models ✋ 60 ms 106.1 MB
official ✋ 30 ms 67.0 MB
lean4lean ✋ 74 ms 105.4 MB
tenet ✋ 137 ms 44.6 MB
nanoclo-fortran ✋ 1 ms 4.4 MB
lean4cobol ✋ 6 ms 13.6 MB
evmlean ✋ 3.1 s 143.3 MB
mini ✋ 36 ms 73.4 MB
overfull ✋ 24.8 s 46.7 MB
kiota ✋ 1 ms 7.0 MB
canonical-min ✋ 390 ms 1.1 GB
rpylean ✋ 1 ms 5.1 MB
vow-lean-kernel ✋ 77 ms 8.4 MB
official-v4.28.0 ✋ 37 ms 74.6 MB
still-nanoda ✋ 1 ms 3.3 MB
nyaya ✋ 3 ms 9.9 MB
parse-only 👍 28 ms 66.0 MB