Theorems · Theorem · general topology

AddCircle.coe_equivIco_mk_apply

∀ {𝕜 : Type u_1} [inst : Field 𝕜] (p : 𝕜) [inst_1 : LinearOrder 𝕜] [inst_2 : IsStrictOrderedRing 𝕜] [hp : Fact (0 < p)]
  [inst_3 : FloorRing 𝕜] (x : 𝕜), ↑((AddCircle.equivIco p 0) ↑x) = Int.fract (x / p) * p

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

FieldLinearOrderIsStrictOrderedRingFactFloorRing