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Theorems · Definition · ring theory

SkewMonoidAlgebra.single

{k : Type u_1} → {G : Type u_2} → [inst : AddMonoid k] → G → k → SkewMonoidAlgebra k G

single a b is the finitely supported function with value b at a and zero otherwise.

Defined in
Mathlib.Algebra.SkewMonoidAlgebra.Basic
Cited by
83 results in Mathlib
Foundations
Depth 60 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.of · cited by 15SkewMonoidAlgebra.ofSkewMonoidAlgebra.mapDomain · cited by 12SkewMonoidAlgebra.mapDoma…SkewMonoidAlgebra.sum_single_index · cited by 12SkewMonoidAlgebra.sum_sin…SkewMonoidAlgebra.coeff_mul · cited by 9SkewMonoidAlgebra.coeff_m…SkewMonoidAlgebra.single_zero · cited by 8SkewMonoidAlgebra.single_…SkewMonoidAlgebra.of_apply · cited by 7SkewMonoidAlgebra.of_applySkewMonoidAlgebra.sum_single · cited by 7SkewMonoidAlgebra.sum_sin…SkewMonoidAlgebra.addHom_ext · cited by 7SkewMonoidAlgebra.addHom_…SkewMonoidAlgebra.smul_single · cited by 6SkewMonoidAlgebra.smul_si…SkewMonoidAlgebra.liftNC_single · cited by 5SkewMonoidAlgebra.liftNC_…SkewMonoidAlgebra.single_add · cited by 5SkewMonoidAlgebra.single_…SkewPolynomial.support_monomial · cited by 4SkewPolynomial.support_mo…SkewMonoidAlgebra.singleAddHom · cited by 4SkewMonoidAlgebra.singleA…SkewMonoidAlgebra.single_mul_single · cited by 4SkewMonoidAlgebra.single_…SkewMonoidAlgebra.support_single_subset · cited by 4SkewMonoidAlgebra.support…AddMonoid · cited by 2864AddMonoidFinsupp.single · cited by 943Finsupp.singleSkewMonoidAlgebra · cited by 216SkewMonoidAlgebraSkewMonoidAlgebra.singleCITED BYCITES

Cites3

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Cited by86

Results whose statement or proof uses this declaration.