Theorems · Theorem · complex analysis
Polynomial.cauchyBound_C
∀ {K : Type u_1} [inst : NormedDivisionRing K] (x : K), (Polynomial.C x).cauchyBound = 1- Defined in
- Mathlib.Analysis.Polynomial.CauchyBound
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedDivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- NNRealstatement · cited by 4,310
- zero_addproof · cited by 2,366
- Polynomial.Cstatement and proof · cited by 1,598
- Finset.rangeproof · cited by 1,341
- Polynomial.coeffproof · cited by 1,045
- NNNorm.nnnormproof · cited by 952
- Finset.supproof · cited by 530
- NormedDivisionRingstatement and proof · cited by 360
- zero_divproof · cited by 222
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.cauchyBound_oneproof · cited by 0