Theorems · Theorem · order theory

toIcoDiv_sub_intCast_mul

∀ {R : Type u_1} [inst : NonAssocRing R] [inst_1 : LinearOrder R] [inst_2 : IsOrderedAddMonoid R]
  [inst_3 : Archimedean R] {p : R} (hp : 0 < p) (a b : R) (m : ℤ), toIcoDiv hp a (b - ↑m * p) = toIcoDiv hp a b - m

Defined in

Mathlib.Algebra.Order.ToIntervalMod

Cited by

1 results in Mathlib

Foundations

Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonAssocRingLinearOrderIsOrderedAddMonoidArchimedean