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.valThe coercion from lp E p to ∀ i, E i is uniformly continuous.
- Defined in
- Mathlib.Analysis.Normed.Lp.lpSpace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroupFact
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- ENNRealstatement and proof · cited by 9,879
- AddSubgroupstatement · cited by 3,232
- Factstatement and proof · cited by 2,726
- UniformContinuousstatement · cited by 410
- PreLpstatement · cited by 163
- lpstatement · cited by 157
- LipschitzWith.uniformContinuousproof · cited by 33
- uniformContinuous_piproof · cited by 12
- lp.lipschitzWith_one_evalproof · cited by 1
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