Theorems · Theorem · commutative algebra

LinearMap.finsuppLinearMap_bijective_of_moduleFinite

∀ (R : Type u_1) (M : Type u_2) (N : Type u_3) (ι : Type u_4) (S : Type u_5) [inst : Semiring R]
  [inst_1 : AddCommMonoid M] [inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N]
  [inst_5 : Semiring S] [inst_6 : Module S N] [inst_7 : SMulCommClass R S N] [Module.Finite R M],
  Function.Bijective ⇑(LinearMap.finsuppLinearMap S)

Defined in

Mathlib.RingTheory.Finiteness.Finsupp

Cited by

1 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModuleSemiringModuleSMulCommClassModule.Finite