Theorems · Theorem · commutative algebra
Polynomial.coeff_restriction
∀ {R : Type u} [inst : Ring R] {p : Polynomial R} {n : ℕ}, ↑(p.restriction.coeff n) = p.coeff n- Defined in
- Mathlib.RingTheory.Polynomial.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Finset.sum_congrproof · cited by 2,323
- Polynomial.coeffstatement and proof · cited by 1,045
- Subringstatement · cited by 602
- Polynomial.monomialproof · cited by 256
- Polynomial.supportproof · cited by 237
- Finset.sum_ite_eq'proof · cited by 105
- Subring.closurestatement · cited by 78
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.support_restrictionproof · cited by 2
- Polynomial.coeff_restriction'proof · cited by 1
- Polynomial.monic_restrictionproof · cited by 1
- Polynomial.map_restrictionproof · cited by 1
- Polynomial.eval₂_restrictionproof · cited by 0