Theorems · Theorem · commutative algebra

Module.isTorsionBySet_quotient_ideal_smul

∀ {R : Type u_1} (M : Type u_2) [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (I : Ideal R),
  Module.IsTorsionBySet R (M ⧸ I • ⊤) ↑I

Defined in

Mathlib.Algebra.Module.Torsion.Basic

Cited by

2 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModule