Theorems · Theorem · general topology
AddCircle.isAddQuotientCoveringMap_nsmul
∀ {𝕜 : Type u_1} [inst : TopologicalSpace 𝕜] [inst_1 : Ring 𝕜] [IsTopologicalRing 𝕜] (p : 𝕜) [T0Space (AddCircle p)]
{n : ℕ}, IsUnit ↑n → IsAddQuotientCoveringMap (fun x => n • x) ↥(nsmulAddMonoidHom n).ker- Defined in
- Mathlib.Topology.Covering.AddCircle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- AddGroupproof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomproof · cited by 3,230
- IsUnitstatement and proof · cited by 1,602
- AddZeroClassproof · cited by 1,237
- AddActionproof · cited by 820
- AddSubgroup.zmultiplesstatement and proof · cited by 493
- IsTopologicalRingstatement and proof · cited by 402
- Int.cast_natCastproof · cited by 393
- QuotientAddGroup.mkproof · cited by 348
Cited by1
Results whose statement or proof uses this declaration.
- AddCircle.isAddQuotientCoveringMap_nsmul_of_ne_zeroproof · cited by 0