Theorems · Theorem · field theory
Polynomial.isProperMap_eval
∀ {R : Type u_2} [inst : NormedRing R] [IsAbsoluteValue norm] [ProperSpace R] (p : Polynomial R),
0 < p.degree → IsProperMap fun x => Polynomial.eval x p- Defined in
- Mathlib.Topology.Algebra.Polynomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Filterproof · cited by 8,121
- Polynomialstatement and proof · cited by 5,681
- Norm.normstatement and proof · cited by 5,413
- Filter.Tendstoproof · cited by 3,814
- WithBotstatement · cited by 1,498
- NormedRingstatement and proof · cited by 924
- Polynomial.evalstatement and proof · cited by 796
- Polynomial.degreestatement and proof · cited by 643
- ProperSpacestatement and proof · cited by 190
- IsAbsoluteValuestatement and proof · cited by 160
- IsProperMapstatement · cited by 66
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.isClosedMap_evalproof · cited by 2