Theorems · Definition · category theory
Function.Fiber
{Y : Type u_2} → {Z : Type u_3} → (Y → Z) → Type u_2The indexing set of the partition.
- Defined in
- Mathlib.Logic.Function.FiberPartition
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Set.preimageproof · cited by 4,946
- Set.rangeproof · cited by 4,705
Cited by30
Results whose statement or proof uses this declaration.
- Function.Fiber.imagestatement and proof · cited by 10
- CompHausLike.LocallyConstant.fiberstatement and proof · cited by 8
- CompHausLike.LocallyConstant.sigmaInclstatement and proof · cited by 7
- Function.Fiber.preimagestatement and proof · cited by 5
- CompHausLike.LocallyConstant.counitAppAppproof · cited by 5
- Function.Fiber.map_eq_imagestatement and proof · cited by 5
- CompHausLike.LocallyConstant.sigmaIsostatement · cited by 4
- Function.Fiber.mkstatement · cited by 3
- CompHausLike.LocallyConstant.incl_of_counitAppAppstatement and proof · cited by 3
- TopologicalSpace.Fiber.sigmaIsoHomstatement and proof · cited by 3
- CompHausLike.LocallyConstant.presheaf_extstatement and proof · cited by 3
- CompHausLike.LocallyConstant.sigmaComparison_comp_sigmaIsostatement and proof · cited by 2