Theorems · Theorem · field theory
Polynomial.Splits.comp_neg_X
∀ {R : Type u_1} [inst : Ring R] {f : Polynomial R}, f.Splits → (f.comp (-Polynomial.X)).Splits- Defined in
- Mathlib.Algebra.Polynomial.Splits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- Set.ofPredproof · cited by 6,101
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.Splitsstatement and proof · cited by 290
- neg_subproof · cited by 272
- Polynomial.compstatement and proof · cited by 193
- Submonoid.closureproof · cited by 167
- neg_add_eq_subproof · cited by 33
- Polynomial.X_compproof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- minpoly_neg_splitsproof · cited by 1