Theorems · Theorem · order theory

toIcoDiv_eq_floor

∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] [inst_3 : FloorRing α]
  {p : α} (hp : 0 < p) (a b : α), toIcoDiv hp a b = ⌊(b - a) / p⌋

Defined in

Mathlib.Algebra.Order.ToIntervalMod

Cited by

2 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingFloorRing