Theorems · Theorem · general topology
AddCircle.isAddQuotientCoveringMap_zsmul
∀ {𝕜 : Type u_1} [inst : TopologicalSpace 𝕜] [inst_1 : Ring 𝕜] [IsTopologicalRing 𝕜] (p : 𝕜) [T0Space (AddCircle p)]
{n : ℤ}, IsUnit ↑n → IsAddQuotientCoveringMap (fun x => n • x) ↥(zsmulAddGroupHom n).ker- Defined in
- Mathlib.Topology.Covering.AddCircle
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Ringstatement and proof · cited by 7,463
- AddSubgroupstatement · cited by 3,232
- IsUnitstatement and proof · cited by 1,602
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- IsTopologicalRingstatement and proof · cited by 402
- AddCirclestatement and proof · cited by 189
- T0Spacestatement and proof · cited by 179
- AddMonoidHom.kerstatement · cited by 158
- zsmul_eq_mulproof · cited by 120
- QuotientAddGroup.mk'proof · cited by 60
- IsAddQuotientCoveringMapstatement · cited by 42
Cited by2
Results whose statement or proof uses this declaration.
- AddCircle.isAddQuotientCoveringMap_nsmulproof · cited by 1
- AddCircle.isAddQuotientCoveringMap_zsmul_of_ne_zeroproof · cited by 0