Theorems · Theorem · ring theory
SkewMonoidAlgebra.sum_single_index
∀ {k : Type u_1} {G : Type u_2} [inst : AddCommMonoid k] {N : Type u_3} [inst_1 : AddCommMonoid N] {a : G} {b : k}
{h : G → k → N}, h a 0 = 0 → (SkewMonoidAlgebra.single a b).sum h = h a b- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Finsupp.sum_single_indexproof · cited by 130
- SkewMonoidAlgebra.singlestatement · cited by 83
- SkewMonoidAlgebra.sumstatement · cited by 46
Cited by12
Results whose statement or proof uses this declaration.
- SkewPolynomial.sum_monomial_indexproof · cited by 5
- SkewMonoidAlgebra.single_mul_singleproof · cited by 4
- SkewMonoidAlgebra.mapDomain_singleproof · cited by 3
- SkewMonoidAlgebra.coeff_single_mul_auxproof · cited by 2
- SkewMonoidAlgebra.coeff_mul_single_auxproof · cited by 2
- SkewMonoidAlgebra.sum_mapDomain_indexproof · cited by 1
- SkewMonoidAlgebra.support_mul_single_eq_imageproof · cited by 1
- SkewMonoidAlgebra.support_single_mul_eq_imageproof · cited by 1
- SkewMonoidAlgebra.coeff_single_mul_of_not_exists_mulproof · cited by 0
- SkewMonoidAlgebra.mapDomain_compproof · cited by 0
- SkewMonoidAlgebra.coeff_mul_single_of_not_exists_mulproof · cited by 0
- SkewPolynomial.sum_C_indexproof · cited by 0