Theorems · Theorem · commutative algebra
AddMonoidAlgebra.add_divOf
∀ {k : Type u_1} {G : Type u_2} [inst : Semiring k] [inst_1 : AddCommMonoid G] [inst_2 : IsCancelAdd G]
(x y : AddMonoidAlgebra k G) (g : G), (x + y).divOf g = x.divOf g + y.divOf g- Defined in
- Mathlib.Algebra.MonoidAlgebra.Division
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidAlgebrastatement and proof · cited by 649
- Finsupp.extproof · cited by 399
- AddMonoidAlgebra.coeffproof · cited by 365
- AddMonoidAlgebra.extproof · cited by 90
- IsCancelAddstatement and proof · cited by 79
- AddMonoidAlgebra.divOfstatement · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.add_divMonomialproof · cited by 0