Theorems · Theorem · linear algebra

Submodule.biSup_comap_subtype_eq_top

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {ι : Type u_9}
  (s : Set ι) (p : ι → Submodule R M), ⨆ i ∈ s, Submodule.comap (⨆ i ∈ s, p i).subtype (p i) = ⊤

Defined in

Mathlib.LinearAlgebra.Span.Basic

Cited by

5 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule