Mathlib Map

Theorems · Definition · ring theory

SkewMonoidAlgebra.coeffAddEquiv

{k : Type u_1} → {G : Type u_2} → [inst : AddMonoid k] → SkewMonoidAlgebra k G ≃+ (G →₀ k)

Group isomorphism between SkewMonoidAlgebra k G and G →₀ k.

Defined in
Mathlib.Algebra.SkewMonoidAlgebra.Basic
Cited by
9 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SkewMonoidAlgebra.coeff_sum' · cited by 8SkewMonoidAlgebra.coeff_s…SkewMonoidAlgebra.liftNC · cited by 6SkewMonoidAlgebra.liftNCSkewMonoidAlgebra.single_injective · cited by 2SkewMonoidAlgebra.single_…SkewMonoidAlgebra.coeff_neg · cited by 2SkewMonoidAlgebra.coeff_n…SkewMonoidAlgebra.coeffAddEquiv_symm_apply · cited by 1SkewMonoidAlgebra.coeffAd…SkewMonoidAlgebra.coeffAddEquiv_apply · cited by 1SkewMonoidAlgebra.coeffAd…SkewMonoidAlgebra.coeff_sub · cited by 1SkewMonoidAlgebra.coeff_s…SkewMonoidAlgebra.ofCoeff_sub · cited by 1SkewMonoidAlgebra.ofCoeff…SkewMonoidAlgebra.toFinsuppAddEquiv · cited by 0SkewMonoidAlgebra.toFinsu…SkewMonoidAlgebra.toFinsuppAddEquiv_apply · cited by 0SkewMonoidAlgebra.toFinsu…SkewMonoidAlgebra.toFinsuppAddEquiv_symm_apply · cited by 0SkewMonoidAlgebra.toFinsu…SkewMonoidAlgebra.coeffLinearEquiv · cited by 0SkewMonoidAlgebra.coeffLi…Finsupp · cited by 5255FinsuppAddMonoid · cited by 2864AddMonoidAddEquiv · cited by 1087AddEquivSkewMonoidAlgebra · cited by 216SkewMonoidAlgebraSkewMonoidAlgebra.coeff · cited by 110SkewMonoidAlgebra.coeffSkewMonoidAlgebra.coeff_add · cited by 6SkewMonoidAlgebra.coeff_a…SkewMonoidAlgebra.coeffAddEqu…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by12

Results whose statement or proof uses this declaration.