Theorems · Theorem · general topology

AddCircle.equivIoc_coe_eq

∀ {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] {x : 𝕜} (hx : x ∈ Set.Ioc a (a + p)),
  (AddCircle.equivIoc p a) ↑x = ⟨x, hx⟩

Defined in

Mathlib.Topology.Instances.AddCircle.Defs

Cited by

2 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidFactArchimedean