Theorems · Theorem · field theory
Polynomial.derivative_X_pow_succ
∀ {R : Type u} [inst : Semiring R] (n : ℕ),
Polynomial.derivative (Polynomial.X ^ (n + 1)) = Polynomial.C (↑n + 1) * Polynomial.X ^ n- Defined in
- Mathlib.Algebra.Polynomial.Derivative
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 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.
Cites16
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
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Nat.cast_oneproof · cited by 2,501
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- map_addproof · cited by 964
- map_oneproof · cited by 861
- Nat.cast_addproof · cited by 586
Cited by1
Results whose statement or proof uses this declaration.
- Derivation.map_aevalproof · cited by 2