Theorems · Theorem · commutative algebra
spectralValueTerms_finite_range
∀ {R : Type u_1} [inst : SeminormedRing R] (p : Polynomial R), (Set.range (spectralValueTerms p)).FiniteThe range of spectralValue_terms p is a finite set.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedRing
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
- Polynomialstatement and proof · cited by 5,681
- Set.imageproof · cited by 5,609
- Norm.normproof · cited by 5,413
- Set.rangestatement and proof · cited by 4,705
- Set.Finitestatement · cited by 1,814
- Set.Iioproof · cited by 1,166
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.coeffproof · cited by 1,045
- one_divproof · cited by 624
- Set.image_congrproof · cited by 533
- SeminormedRingstatement and proof · cited by 446
Cited by2
Results whose statement or proof uses this declaration.
- spectralValueTerms_bddAboveproof · cited by 3
- norm_root_le_spectralValueproof · cited by 3