Theorems · Theorem · field theory
Polynomial.coe_normUnit
∀ {R : Type u} [inst : CommRing R] [inst_1 : NoZeroDivisors R] [inst_2 : NormalizationMonoid R] {p : Polynomial R},
↑(normUnit p) = Polynomial.C ↑(normUnit p.leadingCoeff)- Defined in
- Mathlib.Algebra.Polynomial.FieldDivision
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Units.valstatement and proof · cited by 1,966
- Polynomial.Cstatement and proof · cited by 1,598
- NoZeroDivisorsstatement and proof · cited by 545
- Polynomial.leadingCoeffstatement and proof · cited by 498
- NormalizationMonoidstatement and proof · cited by 165
- NormalizationMonoid.normUnitstatement and proof · cited by 33
Cited by7
Results whose statement or proof uses this declaration.
- Polynomial.normUnit_Xproof · cited by 2
- Polynomial.degree_normalizeproof · cited by 1
- Polynomial.leadingCoeff_normalizeproof · cited by 1
- Polynomial.Monic.normalize_eq_selfproof · cited by 1
- Polynomial.coe_normUnit_of_ne_zeroproof · cited by 1
- Polynomial.leadingCoeff_mul_prod_normalizedFactorsproof · cited by 0
- Polynomial.roots_normalizeproof · cited by 0