Theorems · Theorem · commutative algebra

IsBaseChange.of_lift_unique

∀ {R : Type u_1} {M : Type v₁} {N : Type v₂} {S : Type v₃} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N]
  [inst_2 : CommSemiring R] [inst_3 : CommSemiring S] [inst_4 : Algebra R S] [inst_5 : Module R M] [inst_6 : Module R N]
  [inst_7 : Module S N] [inst_8 : IsScalarTower R S N] (f : M →ₗ[R] N),
  (∀ (Q : Type (max v₁ v₂ v₃)) [inst_9 : AddCommMonoid Q] [inst_10 : Module R Q] [inst_11 : Module S Q]
      [inst_12 : IsScalarTower R S Q] (g : M →ₗ[R] Q), ∃! g', ↑R g' ∘ₗ f = g) →
    IsBaseChange S f

Defined in

Mathlib.RingTheory.IsTensorProduct

Cited by

5 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Quot.sound

Assumes

AddCommMonoidAddCommMonoidCommSemiringCommSemiringAlgebraModuleModuleModuleIsScalarTower