Theorems · Theorem · complex analysis
Polynomial.cauchyBound_X_add_C
∀ {K : Type u_1} [inst : NormedDivisionRing K] (x : K), (Polynomial.X + Polynomial.C x).cauchyBound = ‖x‖₊ + 1- Defined in
- Mathlib.Analysis.Polynomial.CauchyBound
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedDivisionRing
Around this declaration
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Cites21
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.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- Finset.rangeproof · cited by 1,341
- NNNorm.nnnormstatement and proof · cited by 952
- div_oneproof · cited by 629
- Finset.supproof · cited by 530
- NormedDivisionRingstatement and proof · cited by 360
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