Theorems · Theorem · field theory
Polynomial.funext
∀ {R : Type u} [inst : CommRing R] [IsDomain R] [Infinite R] {p q : Polynomial R},
(∀ (r : R), Polynomial.eval r p = Polynomial.eval r q) → p = q- Defined in
- Mathlib.Algebra.Polynomial.Roots
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- IsDomainstatement and proof · cited by 2,196
- Polynomial.evalstatement and proof · cited by 796
- sub_eq_zeroproof · cited by 407
- Infinitestatement and proof · cited by 352
- Polynomial.eval_subproof · cited by 124
- Polynomial.zero_of_eval_zeroproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Complex.exists_rootproof · cited by 1
- Polynomial.C_eq_or_isOpenQuotientMap_evalproof · cited by 1