Theorems · Theorem · field theory
Polynomial.coeff_ofFinsupp
∀ {R : Type u} [inst : Semiring R] (p : AddMonoidAlgebra R ℕ), { toFinsupp := p }.coeff = ⇑p.coeff- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 61 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finsuppstatement · cited by 5,255
- Polynomial.coeffstatement · cited by 1,045
- AddMonoidAlgebrastatement and proof · cited by 649
- AddMonoidAlgebra.coeffstatement and proof · cited by 365
Cited by6
Results whose statement or proof uses this declaration.
- Polynomial.mem_support_iffproof · cited by 30
- Polynomial.opRingEquiv_op_monomialproof · cited by 3
- Polynomial.ofFn_coeff_eq_val_of_ltproof · cited by 3
- Polynomial.ofFn_coeff_eq_zero_of_geproof · cited by 2
- Polynomial.toFn_comp_ofFn_eq_idproof · cited by 2
- Polynomial.linearIndependent_powers_iff_aevalproof · cited by 0