Theorems · Theorem · commutative algebra

Module.Relations.Solution.IsPresentation.tensor

∀ {A : Type u} [inst : CommRing A] {M₁ : Type v₁} {M₂ : Type v₂} [inst_1 : AddCommGroup M₁] [inst_2 : AddCommGroup M₂]
  [inst_3 : Module A M₁] [inst_4 : Module A M₂] {relations₁ : Module.Relations A} {relations₂ : Module.Relations A}
  {solution₁ : relations₁.Solution M₁} {solution₂ : relations₂.Solution M₂},
  solution₁.IsPresentation → solution₂.IsPresentation → (solution₁.tensor solution₂).IsPresentation

Defined in

Mathlib.Algebra.Module.Presentation.Tensor

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommRingAddCommGroupAddCommGroupModuleModule