Theorems · Theorem · linear algebra

DFinsupp.lsum_lsingle

∀ {ι : Type u_1} {R : Type u_3} (S : Type u_4) {M : ι → Type u_5} [inst : Semiring R]
  [inst_1 : (i : ι) → AddCommMonoid (M i)] [inst_2 : (i : ι) → Module R (M i)] [inst_3 : DecidableEq ι]
  [inst_4 : Semiring S] [inst_5 : (i : ι) → Module S (M i)] [inst_6 : ∀ (i : ι), SMulCommClass R S (M i)],
  (DFinsupp.lsum S) DFinsupp.lsingle = LinearMap.id

Defined in

Mathlib.LinearAlgebra.DFinsupp

Cited by

1 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleDecidableEqSemiringModuleSMulCommClass