Theorems · Theorem · field theory
Polynomial.leadingCoeff_quadratic
∀ {R : Type u} {a b c : R} [inst : Semiring R],
a ≠ 0 → (Polynomial.C a * Polynomial.X ^ 2 + Polynomial.C b * Polynomial.X + Polynomial.C c).leadingCoeff = a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- add_commproof · cited by 1,535
- add_assocproof · cited by 746
- Polynomial.leadingCoeffstatement and proof · cited by 498
- Polynomial.leadingCoeff_add_of_degree_ltproof · cited by 10
- Polynomial.leadingCoeff_C_mul_X_powproof · cited by 4
- Polynomial.degree_linear_lt_degree_C_mul_X_sqproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Cubic.leadingCoeff_of_b_ne_zeroproof · cited by 2