Theorems · Theorem · category theory
partialFunEquivPointed_functor_map_toFun
∀ {X Y : PartialFun} (f : X ⟶ Y) (a : Option X),
(partialFunEquivPointed.functor.map f).toFun a = Option.elim' none (fun a => (f a).toOption) a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- Part.Domstatement · cited by 145
- Pointedstatement · cited by 56
- Pointed.Xstatement · cited by 40
- Option.elim'statement · cited by 30
- Pointed.Hom.toFunstatement and proof · cited by 24
- PartialFunstatement and proof · cited by 18
- Part.toOptionstatement · cited by 16
- partialFunEquivPointedstatement and proof · cited by 10
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