Theorems · Theorem · field theory
Polynomial.sub_dvd_eval_sub
∀ {R : Type u} [inst : CommRing R] (a b : R) (p : Polynomial R), a - b ∣ Polynomial.eval a p - Polynomial.eval b p- Defined in
- Mathlib.Algebra.Polynomial.Div
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- sub_selfproof · cited by 996
- Polynomial.evalstatement and proof · cited by 796
- Polynomial.eval_Xproof · cited by 172
- Polynomial.eval_Cproof · cited by 145
- Polynomial.eval_subproof · cited by 124
- map_dvdproof · cited by 44
- Polynomial.evalRingHomproof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.IsRoot.dvd_coeff_zeroproof · cited by 1