Theorems · Theorem · general topology

AddCircle.equivIoc_coe_of_mem

∀ {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] {y : 𝕜},
  y ∈ Set.Ioc a (a + p) → ↑((AddCircle.equivIoc p a) ↑y) = y

Defined in

Mathlib.Topology.Instances.AddCircle.Defs

Cited by

0 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidFactArchimedean