Theorems · Theorem · general topology

AddCircle.coe_eq_coe_iff_of_mem_Ioc

∀ {𝕜 : Type u_1} [inst : AddCommGroup 𝕜] {p : 𝕜} [inst_1 : LinearOrder 𝕜] [IsOrderedAddMonoid 𝕜] [hp : Fact (0 < p)]
  {a : 𝕜} [Archimedean 𝕜] {x y : 𝕜}, x ∈ Set.Ioc a (a + p) → y ∈ Set.Ioc a (a + p) → (↑x = ↑y ↔ x = y)

Ioc version of coe_eq_coe_iff_of_mem_Ico.

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