Theorems · Theorem · field theory
Polynomial.exists_forall_norm_le
∀ {R : Type u_2} [inst : NormedRing R] [IsAbsoluteValue norm] [ProperSpace R] (p : Polynomial R),
∃ x, ∀ (y : R), ‖Polynomial.eval x p‖ ≤ ‖Polynomial.eval y p‖- Defined in
- Mathlib.Topology.Algebra.Polynomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- Polynomialstatement and proof · cited by 5,681
- Norm.normstatement and proof · cited by 5,413
- Polynomial.Cproof · cited by 1,598
- Polynomial.coeffproof · cited by 1,045
- NormedRingstatement and proof · cited by 924
- Polynomial.evalstatement and proof · cited by 796
- Polynomial.degreeproof · cited by 643
- le_of_not_gtproof · cited by 430
- ProperSpacestatement and proof · cited by 190
- IsAbsoluteValuestatement and proof · cited by 160
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