Theorems · Definition · linear algebra

finsuppTensorFinsuppLid

(R : Type u_1) →
  (N : Type u_4) →
    (ι : Type u_5) →
      (κ : Type u_6) →
        [inst : CommSemiring R] →
          [inst_1 : AddCommMonoid N] → [inst_2 : Module R N] → TensorProduct R (ι →₀ R) (κ →₀ N) ≃ₗ[R] ι × κ →₀ N

A variant of finsuppTensorFinsupp where the first module is the ground ring.

Defined in

Mathlib.LinearAlgebra.DirectSum.Finsupp

Cited by

4 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModule