Theorems · Inductive type · general topology
LocallyConstant
(X : Type u_5) → Type u_6 → [TopologicalSpace X] → Type (max u_5 u_6)
A (bundled) locally constant function from a topological space X to a type Y.
- Defined in
- Mathlib.Topology.LocallyConstant.Basic
- Cited by
- 227 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- TopologicalSpace
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.
- TopologicalSpacestatement · cited by 24,529
Cited by322
Results whose statement or proof uses this declaration.
- LocallyConstant.comapstatement and proof · cited by 32
- Profinite.NobelingProof.Products.evalstatement · cited by 29
- LocallyConstant.extstatement and proof · cited by 23
- Profinite.NobelingProof.GoodProducts.evalstatement · cited by 20
- Profinite.NobelingProof.πsstatement · cited by 17
- LocallyConstant.mapstatement and proof · cited by 16
- CompHausLike.LocallyConstant.functorToPresheavesproof · cited by 11
- Profinite.NobelingProof.estatement · cited by 11
- Profinite.NobelingProof.Products.prop_of_isGoodproof · cited by 10
- LocallyConstant.conststatement · cited by 9
- Profinite.NobelingProof.GoodProducts.rangestatement · cited by 9
- Profinite.NobelingProof.Linear_CC'statement · cited by 9
Showing the 200 most cited of 322.