Theorems · Theorem · ring theory

LinearMap.FiniteRangeSetoid.equiv_of_eqOn_of_isNoetherian

∀ {K : Type u_1} {V : Type u_2} {V₂ : Type u_4} [inst : CommRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  [inst_3 : AddCommGroup V₂] [inst_4 : Module K V₂] {u v : V →ₗ[K] V₂} (A : Submodule K V)
  [quot_A_noeth : IsNoetherian K (V ⧸ A)], Set.EqOn ⇑u ⇑v ↑A → u ≈ v

Defined in

Mathlib.Algebra.Module.LinearMap.FiniteRange

Cited by

0 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModuleIsNoetherian