Theorems · Theorem · general topology
DiscreteQuotient.proj_isLocallyConstant
∀ {X : Type u_2} [inst : TopologicalSpace X] (S : DiscreteQuotient X), IsLocallyConstant S.proj- Defined in
- Mathlib.Topology.DiscreteQuotient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- DiscreteQuotientstatement and proof · cited by 65
- IsLocallyConstantstatement · cited by 51
- DiscreteQuotient.toSetoidstatement · cited by 45
- DiscreteQuotient.projstatement and proof · cited by 23
- IsLocallyConstant.iff_continuousproof · cited by 4
- DiscreteQuotient.proj_continuousproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Profinite.exists_locallyConstantproof · cited by 2