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: 4.34.1 · 📄 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 ⏱️ 🧠
sokonanoda ✋ 1 ms 40.3 MB
mathgraph ✋ 1 ms 34.0 MB
nanoclo ✋ 1 ms 29.8 MB
con-ron ✋ 23 ms 58.8 MB
nanobruijn ✋ 1 ms 10.8 MB
nanoda ✋ 1 ms 3.4 MB
lazylean ✋ 1 ms 21.7 MB
con-leche ✋ 4 ms 22.1 MB
eink0rn ✋ 2 ms 13.1 MB
official ✋ 30 ms 67.4 MB
ind-models ✋ 102 ms 104.5 MB
lean4lean ✋ 74 ms 105.1 MB
tenet ✋ 137 ms 44.8 MB
tenet-hs ✋ 2 ms 9.5 MB
lean4cobol ✋ 6 ms 13.6 MB
evmlean ✋ 3.8 s 267.0 MB
mini ✋ 36 ms 74.0 MB
overfull ✋ 24.8 s 47.1 MB
metalean-slow ✋ 32 ms 72.0 MB
tenet-jvm ✋ 118 ms 65.7 MB
nanoclo-fortran ✋ 1 ms 4.5 MB
kiota ✋ 1 ms 7.1 MB
metalean-fast ✋ 30 ms 72.0 MB
canonical-min ✋ 388 ms 1.1 GB
rpylean ✋ 1 ms 5.0 MB
vow-lean-kernel ✋ 77 ms 8.6 MB
parse-only 👍 28 ms 65.8 MB