Theorems · Theorem · field theory
Polynomial.map_C
∀ {R : Type u} {S : Type v} {a : R} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+* S),
Polynomial.map f (Polynomial.C a) = Polynomial.C (f a)- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 107 results in Mathlib
- Foundations
- Depth 103 from the axioms, rests on 1,826 definitions · uses propext, Classical.choice, Quot.sound
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.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement and proof · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- RingHom.compproof · cited by 899
- Polynomial.mapstatement · cited by 806
- Polynomial.eval₂_Cproof · cited by 50
Cited by107
Results whose statement or proof uses this declaration.
- Polynomial.Splits.mapproof · cited by 19
- Polynomial.derivative_mapproof · cited by 17
- Polynomial.map_compproof · cited by 14
- Polynomial.map_dvd_map'proof · cited by 14
- Polynomial.map_expandproof · cited by 7
- Polynomial.prod_multiset_X_sub_C_dvdproof · cited by 5
- WeierstrassCurve.map_Ψ₂Sqproof · cited by 5
- Polynomial.IsPrimitive.irreducible_iff_irreducible_map_fraction_mapproof · cited by 4
- WeierstrassCurve.map_preΨ₄proof · cited by 4
- WeierstrassCurve.map_Ψ₃proof · cited by 4
- MvPolynomial.transcendental_supported_polynomial_aeval_Xproof · cited by 4
- WeierstrassCurve.Affine.map_polynomialproof · cited by 4