Theorems · Theorem · field theory
Polynomial.C_0
∀ {R : Type u} [inst : Semiring R], Polynomial.C 0 = 0- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 40 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
- map_zeroproof · cited by 1,614
- Polynomial.Cstatement and proof · cited by 1,598
Cited by40
Results whose statement or proof uses this declaration.
- Polynomial.natDegree_Cproof · cited by 59
- Polynomial.induction_onproof · cited by 23
- Polynomial.degree_C_leproof · cited by 21
- Polynomial.derivative_mapproof · cited by 17
- Polynomial.dvd_iff_isRootproof · cited by 15
- Polynomial.roots_Cproof · cited by 9
- Polynomial.zero_compproof · cited by 9
- Cubic.of_a_eq_zeroproof · cited by 7
- Cubic.of_b_eq_zeroproof · cited by 7
- Cubic.of_c_eq_zeroproof · cited by 6
- Polynomial.mul_divByMonic_eq_iff_isRootproof · cited by 5
- WeierstrassCurve.Affine.polynomial_eqproof · cited by 5