Theorems · Theorem · linear algebra

Module.End.invtSubmodule.disjoint_mk_iff

∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  (f : Module.End R M) {p q : Submodule R M} (hp : p ∈ f.invtSubmodule) (hq : q ∈ f.invtSubmodule),
  Disjoint ⟨p, hp⟩ ⟨q, hq⟩ ↔ Disjoint p q

Defined in

Mathlib.Algebra.Module.Submodule.Invariant

Cited by

0 results in Mathlib

Foundations

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

Assumes

SemiringAddCommMonoidModule