Theorems · Definition · linear algebra

Finsupp.supportedEquivFinsupp

{α : Type u_1} →
  {M : Type u_2} →
    {R : Type u_5} →
      [inst : Semiring R] →
        [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → (s : Set α) → ↥(Finsupp.supported M R s) ≃ₗ[R] ↑s →₀ M

Interpret Finsupp.restrictSupportEquiv as a linear equivalence between supported M R s and s →₀ M.

Defined in

Mathlib.LinearAlgebra.Finsupp.Supported

Cited by

8 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule