Theorems · Theorem · field theory
Polynomial.aeval_sumIDeriv_eq_eval
∀ {R : Type u_1} [inst : CommSemiring R] (A : Type u_3) [inst_1 : CommRing A] [inst_2 : Algebra R A] (p : Polynomial R)
(r : A),
(Polynomial.aeval r) (Polynomial.sumIDeriv p) =
Polynomial.eval r (Polynomial.sumIDeriv (Polynomial.map (algebraMap R A) p))- Cited by
- 1 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringCommRingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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 and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- RingHomproof · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- AlgHomstatement · cited by 3,236
- Polynomial.mapstatement and proof · cited by 806
- Polynomial.evalstatement and proof · cited by 796
Cited by1
Results whose statement or proof uses this declaration.
- LindemannWeierstrass.exp_polynomial_approxproof · cited by 0