Theorems · Theorem · ring theory
SkewMonoidAlgebra.coeff_add
∀ {k : Type u_1} {G : Type u_2} [inst : AddMonoid k] (a b : SkewMonoidAlgebra k G), (a + b).coeff = a.coeff + b.coeff- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 67 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- AddMonoidstatement and proof · cited by 2,864
- SkewMonoidAlgebrastatement and proof · cited by 216
- SkewMonoidAlgebra.coeffstatement and proof · cited by 110
- SkewMonoidAlgebra.ofCoeff_addproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.coeffAddEquivproof · cited by 9
- SkewMonoidAlgebra.single_addproof · cited by 5
- SkewMonoidAlgebra.single_add_eraseproof · cited by 2
- SkewPolynomial.coeff_addproof · cited by 1
- SkewMonoidAlgebra.support_addproof · cited by 1
- SkewMonoidAlgebra.update_eq_erase_add_singleproof · cited by 0
- SkewMonoidAlgebra.toFinsupp_addproof · cited by 0