Theorems · Definition · field theory
Polynomial.C
{R : Type u} → [inst : Semiring R] → R →+* Polynomial RC a is the constant polynomial a.
C is provided as a ring homomorphism.
- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 1,598 results in Mathlib
- Foundations
- Depth 100 from the axioms, rests on 1,806 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapproof · cited by 10,215
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.monomialproof · cited by 256
- AddHom.toFunproof · cited by 168
- LinearMap.toAddHomproof · cited by 165
Cited by1,693
Results whose statement or proof uses this declaration.
- Polynomial.mapproof · cited by 806
- Polynomial.derivativeproof · cited by 331
- Polynomial.Splitsproof · cited by 290
- Polynomial.compproof · cited by 193
- Polynomial.eval_Cstatement · cited by 145
- Polynomial.map_Xproof · cited by 122
- Polynomial.coeff_mapproof · cited by 114
- Polynomial.map_Cstatement and proof · cited by 107
- Polynomial.expandproof · cited by 90
- Polynomial.map_mulproof · cited by 90
- Cubic.toPolyproof · cited by 88
- Polynomial.aeval_Cstatement · cited by 81
Showing the 200 most cited of 1,693.