Theorems · Theorem · general topology

AddCircle.openPartialHomeomorphCoe_symm_apply

∀ {𝕜 : Type u_1} [inst : AddCommGroup 𝕜] (p : 𝕜) [inst_1 : LinearOrder 𝕜] [inst_2 : IsOrderedAddMonoid 𝕜]
  [hp : Fact (0 < p)] (a : 𝕜) [inst_3 : Archimedean 𝕜] [inst_4 : TopologicalSpace 𝕜] [inst_5 : OrderTopology 𝕜]
  [inst_6 : DiscreteTopology ↥(AddSubgroup.zmultiples p)] (x : AddCircle p),
  ↑(AddCircle.openPartialHomeomorphCoe p a).symm x = ↑((AddCircle.equivIco p a) x)

Defined in

Mathlib.Topology.Instances.AddCircle.Defs

Cited by

0 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidFactArchimedeanTopologicalSpaceOrderTopologyDiscreteTopology