Theorems · Theorem · functional analysis
lp.isometry_single
∀ {α : Type u_3} {E : α → Type u_4} {p : ENNReal} [inst : (i : α) → NormedAddCommGroup (E i)] [inst_1 : DecidableEq α]
[inst_2 : Fact (1 ≤ p)] (i : α), Isometry (lp.single p i)- Defined in
- Mathlib.Analysis.Normed.Lp.lpSpace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- LT.lt.trans_leproof · cited by 678
- zero_lt_oneproof · cited by 598
- Fact.outproof · cited by 328
- Isometrystatement · cited by 230
- PreLpstatement · cited by 163
- lpstatement · cited by 157
- lp.singlestatement · cited by 34
- AddMonoidHomClass.isometry_of_normproof · cited by 18
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