instContinuousEvalConst — Mathlib

English

An alternative presentation of tendsto in terms of TendstoUniformlyOn on sets S.

Русский

Альтернативная формулировка сходимости через TendstoUniformlyOn на множествах S.

LaTeX

$$$$ \text{Tendsto}(a,p,nhds(a_0)) \iff \forall s \in \mathfrak{S},\ TendstoUniformlyOn(\ldots, p, s). $$$$

Lean4

instance instContinuousEvalConst [TopologicalSpace F] [IsTopologicalAddGroup F] [ContinuousSMul 𝕜₁ E] :
    ContinuousEvalConst (E →SL[σ] F) E F :=
  UniformConvergenceCLM.continuousEvalConst σ F _ Bornology.isVonNBounded_covers

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