TinyLean
Tiny theorem prover in Python, with syntax like Lean 4.
Tour
An identity function in TinyLean:
def id {T: Type} (a: T): T := a
example := id Type
Inductive data types:
inductive Maybe (A: Type) where
| Nothing
| Just (a: A)
open Maybe
inductive N where
| Z
| S (n: N)
open N
inductive Vec (A: Type) (n: N) where
| Nil (n := Z)
| Cons {m: N} (a: A) (v: Vec A m) (n := S m)
open Vec
The typechecker knows if any case is impossible (i.e. dependent pattern matching):
def v0: Vec N Z := Nil
example :=
match v0 with
| Nil => Z
/- Cons is impossible, leaving it here yields errors. -/
So a bottom type eliminator is trivial via DPM:
inductive Weird (n: N) where
| MkWeird (n := Z)
open Weird
/- Impossible to construct a term for type `Weird (S Z)`. -/
example {A: Type} (x: Weird (S Z)): A := nomatch x
License
MIT
1 maintainer
Metadata
1 maintainer
Release files for TinyLean 0.7.0
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| File | Size | Uploaded | Provenance | Actions |
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| tinylean-0.7.0-py3-none-any.whl | Python 3 | none | any | Details for tinylean-0.7.0-py3-none-any.whl |
Total release size: 45.1 kB
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