Theorems · Definition · logic and foundations
Set.MapsTo
{α : Type u} → {β : Type v} → (α → β) → Set α → Set β → PropMapsTo f s t means that the image of s is contained in t.
- Defined in
- Mathlib.Data.Set.Operations
- Cited by
- 732 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 7 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
Cited by787
Results whose statement or proof uses this declaration.
- Set.BijOnproof · cited by 168
- ContinuousOn.compstatement and proof · cited by 73
- Set.mapsTo_imagestatement · cited by 71
- Set.MapsTo.restrictstatement and proof · cited by 57
- Set.mapsTo_univstatement · cited by 55
- Set.MapsTo.image_subsetstatement and proof · cited by 49
- Set.BijOn.mapsTostatement · cited by 42
- Set.mapsTo_preimagestatement · cited by 35
- Set.mapsTo_iff_image_subsetstatement · cited by 18
- ContDiffWithinAt.compstatement and proof · cited by 18
- ContMDiffWithinAt.compstatement and proof · cited by 18
- ContinuousWithinAt.compstatement and proof · cited by 17
Showing the 200 most cited of 787.