Theorems · Definition · field theory
Polynomial.comp
{R : Type u} → [inst : Semiring R] → Polynomial R → Polynomial R → Polynomial RThe composition of polynomials as a polynomial.
- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 193 results in Mathlib
- Foundations
- Depth 101 from the axioms, rests on 1,813 definitions · 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
- Polynomial.Cproof · cited by 1,598
- Polynomial.eval₂proof · cited by 267
Cited by197
Results whose statement or proof uses this declaration.
- Polynomial.taylorproof · cited by 42
- Polynomial.X_compstatement · cited by 29
- Polynomial.eval_compstatement and proof · cited by 29
- Polynomial.mul_compstatement · cited by 24
- Polynomial.add_compstatement · cited by 20
- Polynomial.C_compstatement · cited by 18
- Polynomial.one_compstatement and proof · cited by 18
- Polynomial.sub_compstatement · cited by 16
- descPochhammer_succ_rightproof · cited by 14
- Polynomial.map_compstatement and proof · cited by 14
- Polynomial.aeval_compstatement · cited by 14
- Polynomial.natDegree_compstatement and proof · cited by 13