Theorems · Theorem · commutative algebra
Polynomial.isUnit_primPart_C
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : NormalizedGCDMonoid R] (r : R), IsUnit (Polynomial.C r).primPart- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 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.
Cites24
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
- mul_oneproof · cited by 3,885
- Units.valproof · cited by 1,966
- mul_assocproof · cited by 1,667
- map_zeroproof · cited by 1,614
- IsUnitstatement and proof · cited by 1,602
- Polynomial.Cstatement and proof · cited by 1,598
- map_mulproof · cited by 1,137
- NormalizedGCDMonoidstatement and proof · cited by 159
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.exists_primitive_lcm_of_isPrimitiveproof · cited by 0