Theorems · Theorem · field theory
Polynomial.C_sub
∀ {R : Type u} {a b : R} [inst : Ring R], Polynomial.C (a - b) = Polynomial.C a - Polynomial.C b- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Polynomialstatement · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- map_subproof · cited by 565
Cited by13
Results whose statement or proof uses this declaration.
- Ring.descPochhammer_eq_factorial_smul_chooseproof · cited by 8
- Polynomial.isCoprime_X_sub_C_of_isUnit_subproof · cited by 2
- gal_X_pow_sub_C_isSolvable_auxproof · cited by 1
- WeierstrassCurve.Affine.addPolynomial_eqproof · cited by 1
- WeierstrassCurve.Affine.C_addPolynomialproof · 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
- WeierstrassCurve.Ψ_evenproof · cited by 0
- WeierstrassCurve.Ψ_oddproof · cited by 0