Theorems · Theorem · general topology
DiscreteQuotient.proj_continuous
∀ {X : Type u_2} [inst : TopologicalSpace X] (S : DiscreteQuotient X), Continuous S.proj- Defined in
- Mathlib.Topology.DiscreteQuotient
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 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
- Continuousstatement · cited by 2,592
- DiscreteQuotientstatement and proof · cited by 65
- DiscreteQuotient.toSetoidstatement · cited by 45
- DiscreteQuotient.projstatement · cited by 23
- Topology.IsQuotientMap.continuousproof · cited by 14
- DiscreteQuotient.proj_isQuotientMapproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- DiscreteQuotient.isClopen_preimageproof · cited by 3
- DiscreteQuotient.proj_isLocallyConstantproof · cited by 1