Theorems · Theorem · commutative algebra

DirectSum.decomposeTensor_apply

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  (ℳ : ι → Submodule R M) (N : Type u_5) [inst_3 : AddCommMonoid N] [inst_4 : Module R N] {i : ι},
  DirectSum.decomposeTensor ℳ N i = (LinearMap.rTensor N (ℳ i).subtype).range

Defined in

Mathlib.LinearAlgebra.TensorProduct.Decomposition

Cited by

0 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModule