Theorems · Theorem · commutative algebra
Polynomial.primPart_zero
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R], Polynomial.primPart 0 = 1- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNormalizedGCDMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement · cited by 5,681
- NormalizedGCDMonoidstatement and proof · cited by 159
- Polynomial.primPartstatement · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.isPrimitive_primPartproof · cited by 4
- Polynomial.natDegree_primPartproof · cited by 2
- Polynomial.isUnit_primPart_Cproof · cited by 1