Theorems · Theorem · commutative algebra
Polynomial.discr_of_degree_eq_one
∀ {R : Type u_1} [inst : CommRing R] {f : Polynomial R}, f.degree = 1 → f.discr = 1The discriminant of a linear polynomial is 1.
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- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites36
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Equivproof · cited by 8,337
- Polynomialstatement and proof · cited by 5,681
- Matrixproof · cited by 4,303
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- MulZeroClass.mul_zeroproof · cited by 2,091
- WithBotstatement and proof · cited by 1,498
- Polynomial.natDegreeproof · cited by 1,105
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