Theorems · Theorem · field theory
Polynomial.coeff_update_same
∀ {R : Type u} [inst : Semiring R] (p : Polynomial R) (n : ℕ) (a : R), (p.update n a).coeff n = a- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 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.
Cites5
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
- Polynomial.coeffstatement · cited by 1,045
- Polynomial.updatestatement · cited by 10
- Polynomial.coeff_update_applyproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.