Theorems · Theorem · general topology
LocallyConstant.continuous
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (f : LocallyConstant X Y),
Continuous ⇑f- Defined in
- Mathlib.Topology.LocallyConstant.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
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.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousstatement · cited by 2,592
- LocallyConstantstatement and proof · cited by 227
- LocallyConstant.isLocallyConstantproof · cited by 7
- IsLocallyConstant.continuousproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- LocallyConstant.toContinuousMapproof · cited by 7
- LightProfinite.epi_iff_surjectiveproof · cited by 3
- Profinite.epi_iff_surjectiveproof · cited by 2
- Stonean.epi_iff_surjectiveproof · cited by 1