Theorems · Theorem · dynamical systems
Polynomial.isFixedPt_newtonMap_of_aeval_eq_zero
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {P : Polynomial R}
{x : S}, (Polynomial.aeval x) P = 0 → Function.IsFixedPt P.newtonMap x- Defined in
- Mathlib.Dynamics.Newton
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- MulZeroClass.mul_zeroproof · cited by 2,091
- sub_zeroproof · cited by 938
- Polynomial.aevalstatement and proof · cited by 615
- Polynomial.derivativeproof · cited by 331
- Ring.inverseproof · cited by 160
- Function.IsFixedPtstatement · cited by 84
- Polynomial.newtonMapstatement and proof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.