Theorems · Definition · commutative algebra

SModEq

{R : Type u_1} →
  [inst : Ring R] → {M : Type u_4} → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → Submodule R M → M → M → Prop

A predicate saying two elements of a module are equivalent modulo a submodule.

Defined in

Mathlib.LinearAlgebra.SModEq.Basic

Cited by

80 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModule