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Theorems · Theorem · functional analysis

lp.uniformContinuous_coe

∀ {α : Type u_3} {E : α → Type u_4} {p : ENNReal} [inst : (i : α) → NormedAddCommGroup (E i)] [_i : Fact (1 ≤ p)],
  UniformContinuous Subtype.val

The coercion from lp E p to ∀ i, E i is uniformly continuous.

Defined in
Mathlib.Analysis.Normed.Lp.lpSpace
Cited by
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Foundations
Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupFact

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