Theorems · Theorem · functional analysis
SchwartzMap.injective_toLp
∀ {E : Type u_5} {F : Type u_6} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
[inst_3 : NormedSpace ℝ F] [inst_4 : MeasurableSpace E] [inst_5 : OpensMeasurableSpace E]
[inst_6 : SecondCountableTopologyEither E F] (p : ENNReal)
(μ : autoParam (MeasureTheory.Measure E) SchwartzMap.injective_toLp._auto_1) [hμ : μ.HasTemperateGrowth]
[μ.IsOpenPosMeasure], Function.Injective fun f => f.toLp p μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- AddSubgroupstatement · cited by 3,232
- MeasureTheory.aeproof · cited by 2,352
- Filter.EventuallyEqproof · cited by 1,912
- MeasureTheory.AEEqFunstatement · cited by 856
- MeasureTheory.Lpstatement · cited by 715
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