Theorems · Theorem · field theory
Polynomial.C_add
∀ {R : Type u} {a b : R} [inst : Semiring R], Polynomial.C (a + b) = Polynomial.C a + Polynomial.C b- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 101 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.
Cites6
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 · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- RingHom.map_addproof · cited by 16
Cited by17
Results whose statement or proof uses this declaration.
- Polynomial.natDegree_add_Cproof · cited by 18
- WeierstrassCurve.C_Ψ₂Sqproof · cited by 3
- Polynomial.derivative_pow_succproof · cited by 3
- Cubic.C_mul_prod_X_sub_C_eqproof · cited by 2
- WeierstrassCurve.Affine.Y_sub_polynomialYproof · cited by 1
- WeierstrassCurve.Affine.addPolynomial_eqproof · cited by 1
- WeierstrassCurve.Affine.CoordinateRing.XYIdeal_add_eqproof · cited by 1
- WeierstrassCurve.Affine.CoordinateRing.XYIdeal_eq₁proof · cited by 1
- WeierstrassCurve.Affine.CoordinateRing.XYIdeal_eq₂proof · cited by 1
- WeierstrassCurve.Affine.CoordinateRing.XYIdeal_mul_XYIdealproof · cited by 1
- WeierstrassCurve.Affine.CoordinateRing.XYIdeal_neg_mulproof · cited by 1
- Polynomial.Monic.not_irreducible_iff_exists_add_mul_eq_coeffproof · cited by 1