Theorems · Definition · category theory
partialFunToPointed
CategoryTheory.Functor PartialFun Pointed
The functor which maps undefined values to a new point. This makes the maps total and creates
pointed types. This is the noncomputable part of the equivalence PartialFunEquivPointed. It can't
be computable because = Option.none is decidable while the domain of a general Part isn't.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Pointedstatement · cited by 56
- Option.elim'proof · cited by 30
- PartialFunstatement and proof · cited by 18
- Part.toOptionproof · cited by 16
Cited by10
Results whose statement or proof uses this declaration.
- partialFunEquivPointedproof · cited by 10
- typeToPartialFunIsoPartialFunToPointedstatement · cited by 2
- partialFunEquivPointed_counitIso_hom_app_toFunstatement and proof · cited by 0
- partialFunEquivPointed_counitIso_inv_app_toFunstatement · cited by 0
- partialFunEquivPointed_unitIso_hom_appstatement · cited by 0
- partialFunEquivPointed_unitIso_inv_appstatement · cited by 0
- partialFunToPointed_mapstatement and proof · cited by 0
- partialFunToPointed_objstatement and proof · cited by 0
- typeToPartialFunIsoPartialFunToPointed_hom_app_toFunstatement and proof · cited by 0
- typeToPartialFunIsoPartialFunToPointed_inv_app_toFunstatement · cited by 0