Theorems · Theorem · general topology

AddCircle.equivIccQuot_comp_mk_eq_toIocMod

∀ {𝕜 : Type u_1} [inst : AddCommGroup 𝕜] [inst_1 : LinearOrder 𝕜] [inst_2 : IsOrderedAddMonoid 𝕜] (p a : 𝕜)
  [hp : Fact (0 < p)] [inst_3 : Archimedean 𝕜],
  ⇑(AddCircle.equivIccQuot p a) ∘ Quotient.mk'' = fun x => Quot.mk (AddCircle.EndpointIdent p a) ⟨toIocMod ⋯ a x, ⋯⟩

Defined in

Mathlib.Topology.Instances.AddCircle.Defs

Cited by

0 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidFactArchimedean