Theorems · Definition · linear algebra

Finsupp.congr

{α : Type u_1} →
  {M : Type u_2} →
    {R : Type u_5} →
      [inst : Semiring R] →
        [inst_1 : AddCommMonoid M] →
          [inst_2 : Module R M] →
            {α' : Type u_7} →
              (s : Set α) → (t : Set α') → ↑s ≃ ↑t → ↥(Finsupp.supported M R s) ≃ₗ[R] ↥(Finsupp.supported M R t)

An equivalence of sets induces a linear equivalence of Finsupps supported on those sets.

Defined in

Mathlib.LinearAlgebra.Finsupp.Supported

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule