Theorems · Theorem · field theory
Polynomial.toFinsupp_add
∀ {R : Type u} [inst : Semiring R] (a b : Polynomial R), (a + b).toFinsupp = a.toFinsupp + b.toFinsupp- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- AddMonoidAlgebrastatement · cited by 649
- Polynomial.toFinsuppstatement · cited by 64
Cited by6
Results whose statement or proof uses this declaration.
- Polynomial.coeff_subproof · cited by 49
- Polynomial.degree_add_leproof · cited by 14
- Polynomial.toFinsuppIsoproof · cited by 11
- Polynomial.monomial_add_eraseproof · cited by 2
- Polynomial.binomial_eq_binomialproof · cited by 1
- Polynomial.IsUnitTrinomial.irreducible_aux1proof · cited by 1