Lean Kernel Arena / tutorial/106_proofIrrelevanceWhnf

Test "tutorial/106_proofIrrelevanceWhnf"

Expected: 👍 accept · Size: 5.6 KB · Lines: 112 · lean4export: 3.1.0 · Lean: 4.34.1 · 📄 Declaration · 🔗 Source

Proof irrelevance: if p : A and A is definitionally equal to Prop, then all elements of p are still definitionally equal. Just applying proof irrelevance at Sort 0 isn't sufficient.

Checker Result ⏱️ 🧠
sokonanoda 👍 1 ms 39.9 MB
mathgraph 👍 1 ms 33.7 MB
nanoclo 👍 1 ms 41.7 MB
con-ron 👍 23 ms 59.0 MB
nanobruijn 👍 1 ms 10.8 MB
nanoda 👍 1 ms 3.1 MB
lazylean 👍 1 ms 21.7 MB
con-leche 👍 4 ms 22.4 MB
eink0rn 👍 1 ms 12.2 MB
official 👍 28 ms 65.9 MB
ind-models 👍 100 ms 101.6 MB
lean4lean 👍 28 ms 95.7 MB
tenet 👍 130 ms 44.5 MB
tenet-hs 👍 1 ms 8.9 MB
lean4cobol 👍 4 ms 13.5 MB
evmlean 👍 1.6 s 254.7 MB
mini 👍 34 ms 73.8 MB
overfull 👍 13.6 s 46.5 MB
metalean-slow 👍 31 ms 73.1 MB
tenet-jvm 👍 102 ms 64.5 MB
nanoclo-fortran 👍 1 ms 4.5 MB
kiota 👍 1 ms 7.4 MB
metalean-fast 👍 30 ms 71.8 MB
canonical-min ✋ 387 ms 1.1 GB
rpylean 👍 1 ms 4.4 MB
vow-lean-kernel 👍 68 ms 8.5 MB
parse-only 👍 28 ms 65.9 MB