Theorems · Theorem · field theory
Polynomial.Splits.C_mul
∀ {R : Type u_1} [inst : Semiring R] {f : Polynomial R}, f.Splits → ∀ (a : R), (Polynomial.C a * f).Splits- Defined in
- Mathlib.Algebra.Polynomial.Splits
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 103 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cstatement · cited by 1,598
- Polynomial.Splitsstatement and proof · cited by 290
- Polynomial.Splits.mulproof · cited by 18
- Polynomial.Splits.Cproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.Splits.of_natDegree_le_oneproof · cited by 4
- Polynomial.Splits.negproof · cited by 2
- Polynomial.Splits.C_mul_X_powproof · cited by 0