Theorems · Theorem · general topology
AddCircle.isAddQuotientCoveringMap_coe
∀ {𝕜 : Type u_1} [inst : AddCommGroup 𝕜] (p : 𝕜) [inst_1 : TopologicalSpace 𝕜] [IsTopologicalAddGroup 𝕜]
[DiscreteTopology ↥(AddSubgroup.zmultiples p)],
IsAddQuotientCoveringMap QuotientAddGroup.mk ↥(AddSubgroup.zmultiples p)- Defined in
- Mathlib.Topology.Covering.AddCircle
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AddCommGroupstatement and proof · cited by 12,871
- AddSubgroupstatement · cited by 3,232
- HasQuotient.Quotientstatement · cited by 2,301
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- DiscreteTopologystatement and proof · cited by 373
- QuotientAddGroup.mkstatement · cited by 348
- IsAddQuotientCoveringMapstatement · cited by 42
- DiscreteTopology.isDiscreteproof · cited by 7
- AddSubgroup.isAddQuotientCoveringMap_of_commproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Circle.isAddQuotientCoveringMap_expproof · cited by 1
- AddCircle.isCoveringMap_coeproof · cited by 1