Theorems · Theorem · commutative algebra
PowerSeries.WithPiTopology.uniformContinuous_coeff
∀ (R : Type u_1) [inst : UniformSpace R] [inst_1 : Semiring R] (d : ℕ), UniformContinuous fun f => (PowerSeries.coeff d) f
Coefficients are uniformly continuous
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- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceSemiring
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- UniformSpacestatement and proof · cited by 2,040
- Finsupp.singleproof · cited by 943
- PowerSeriesstatement · cited by 797
- UniformContinuousstatement · cited by 410
- PowerSeries.coeffstatement · cited by 324
- uniformContinuous_idproof · cited by 51
- uniformContinuous_piproof · cited by 12
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