Theorems · Theorem · field theory
Polynomial.coeff_update
∀ {R : Type u} [inst : Semiring R] (p : Polynomial R) (n : ℕ) (a : R),
(p.update n a).coeff = Function.update p.coeff n a- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 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.
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
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffstatement · cited by 1,045
- Function.updatestatement and proof · cited by 502
- AddMonoidAlgebra.coeffproof · cited by 365
- Polynomial.toFinsuppproof · cited by 64
- Finsupp.coe_updateproof · cited by 19
- Polynomial.updatestatement · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.coeff_update_applyproof · cited by 4