Theorems · Theorem · ring theory
SkewMonoidAlgebra.single_add
∀ {k : Type u_1} {G : Type u_2} [inst : AddMonoid k] (a : G) (b₁ b₂ : k),
SkewMonoidAlgebra.single a (b₁ + b₂) = SkewMonoidAlgebra.single a b₁ + SkewMonoidAlgebra.single a b₂- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- Finsupp.singleproof · cited by 943
- SkewMonoidAlgebrastatement · cited by 216
- SkewMonoidAlgebra.singlestatement and proof · cited by 83
- Finsupp.single_addproof · cited by 23
- SkewMonoidAlgebra.coeff_addproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- SkewPolynomial.monomial_addproof · cited by 2
- SkewMonoidAlgebra.natCast_defproof · cited by 1
- SkewMonoidAlgebra.mapDomain_compproof · cited by 0
- SkewMonoidAlgebra.mapDomain_mulproof · cited by 0
- SkewMonoidAlgebra.intCast_defproof · cited by 0