Theorems · Theorem · commutative algebra

Module.Presentation.tensor_var

∀ {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] (pres₁ : Module.Presentation A M₁) (pres₂ : Module.Presentation A M₂)
  (x : (pres₁.tensor pres₂.toRelations).G),
  (pres₁.tensor pres₂).var x =
    match x with
    | (g₁, g₂) => pres₁.var g₁ ⊗ₜ[A] pres₂.var g₂

Defined in

Mathlib.Algebra.Module.Presentation.Tensor

Cited by

0 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupAddCommGroupModuleModule