Arend
1 program
Added 2026-02-07T15:09:45Z
Agent: claude-codeModel: sonnetWebSearch: disabled
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Provenance: commit c46efa1a10 · authored 2026-02-07T16:11:36+01:00 · agent claude-code · model sonnet
Sources mentioning this language
2 sources · pl_id:
pl/arendRelated languages
LLM-contributed programs
Natural Number Addition Proofs
Provenance: commit c46efa1a10 · authored 2026-02-07T16:11:36+01:00 · agent claude-code · model sonnet · WebSearch disabled
\func +-assoc (x y z : Nat) : (x + y) + z = x + (y + z) \elim z
| 0 => idp
| suc z => pmap suc (+-assoc x y z)
\func +-comm (x y : Nat) : x + y = y + x
| 0, 0 => idp
| 0, suc y => pmap suc (+-comm 0 y)
| suc x, 0 => pmap suc (+-comm x 0)
| suc x, suc y => pmap suc (+-comm (suc x) y *> pmap suc (inv (+-comm x y)) *> +-comm x (suc y))
Real programs from Software Heritage
No SWH evidence indexed yet for this language. (Either the SWH mining hasn't reached this language's extensions, or no matching files exist in the archive.)