Theorems · Theorem · general topology

AddCircle.gcd_mul_addOrderOf_div_eq

∀ {𝕜 : Type u_1} [inst : Field 𝕜] (p : 𝕜) [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜] [hp : Fact (0 < p)] {n : ℕ}
  (m : ℕ), 0 < n → m.gcd n * addOrderOf ↑(↑m / ↑n * p) = n

Defined in

Mathlib.Topology.Instances.AddCircle.Defs

Cited by

3 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingFact