Theorems · Theorem · general topology

AddCircle.eq_coe_Ico

∀ {𝕜 : Type u_1} [inst : AddCommGroup 𝕜] {p : 𝕜} [inst_1 : LinearOrder 𝕜] [IsOrderedAddMonoid 𝕜] [hp : Fact (0 < p)]
  [Archimedean 𝕜] (a : AddCircle p), ∃ b ∈ Set.Ico 0 p, ↑b = a

Defined in

Mathlib.Topology.Instances.AddCircle.Defs

Cited by

2 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidFactArchimedean