Theorems · Theorem · ring theory

LinearMap.FiniteRangeSetoid.equiv_iff_eqLocus_coFG

∀ {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] [IsNoetherianRing K] {u v : V →ₗ[K] V₂}, u ≈ v ↔ (u.eqLocus v).CoFG

Defined in

Mathlib.Algebra.Module.LinearMap.FiniteRange

Cited by

2 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModuleIsNoetherianRing