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
nanoda 1 ms 3.2 MB
nanobruijn 1 ms 8.5 MB
ind-models 60 ms 105.7 MB
official 30 ms 67.3 MB
lean4lean 74 ms 105.6 MB
evmlean 3.1 s 143.6 MB
mini 36 ms 74.8 MB
sokonanoda 1 ms 34.0 MB
nanoclo 1 ms 41.3 MB
zignodamus 1 ms 5.0 MB
vow-lean-kernel 77 ms 8.4 MB
official-v4.28.0 37 ms 74.5 MB
still-nanoda 1 ms 3.2 MB
kiota 1 ms 9.2 MB
rpylean 1 ms 8.9 MB
nyaya 3 ms 10.3 MB
parse-only 👍 28 ms 65.6 MB