Theorems · Theorem · field theory
Polynomial.expand_contract
∀ {R : Type u} [inst : CommSemiring R] (p : ℕ) [CharP R p] [NoZeroDivisors R] {f : Polynomial R},
Polynomial.derivative f = 0 → p ≠ 0 → (Polynomial.expand R p) (Polynomial.contract p f) = f- Defined in
- Mathlib.Algebra.Polynomial.Expand
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- Polynomial.coeffproof · cited by 1,045
- NoZeroDivisorsstatement and proof · cited by 545
- CharPstatement and proof · cited by 478
- Polynomial.derivativestatement and proof · cited by 331
- Polynomial.extproof · cited by 118
- Ne.bot_ltproof · cited by 116
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.separable_orproof · cited by 3
- Polynomial.expand_contract'proof · cited by 0