Theorems · Theorem · general topology

AddCircle.liftIoc_coe_apply

∀ {𝕜 : Type u_1} {B : Type u_2} [inst : AddCommGroup 𝕜] {p : 𝕜} [inst_1 : LinearOrder 𝕜] [inst_2 : IsOrderedAddMonoid 𝕜]
  [hp : Fact (0 < p)] {a : 𝕜} [inst_3 : Archimedean 𝕜] {f : 𝕜 → B} {x : 𝕜},
  x ∈ Set.Ioc a (a + p) → AddCircle.liftIoc p a f ↑x = f x

Defined in

Mathlib.Topology.Instances.AddCircle.Defs

Cited by

6 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidFactArchimedean