Theorems · Theorem · measure theory
DomMulAct.nnnorm_smul_Lp
∀ {M : Type u_1} {α : Type u_3} {E : Type u_4} [inst : MeasurableSpace α] [inst_1 : NormedAddCommGroup E]
{μ : MeasureTheory.Measure α} {p : ENNReal} [inst_2 : SMul M α] [inst_3 : MeasureTheory.SMulInvariantMeasure M α μ]
[inst_4 : MeasurableConstSMul M α] (c : Mᵈᵐᵃ) (f : ↥(MeasureTheory.Lp E p μ)), ‖c • f‖₊ = ‖f‖₊- Cited by
- 0 results in Mathlib
- Foundations
- Depth 227 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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement · cited by 4,310
- AddSubgroupstatement · cited by 3,232
- NNNorm.nnnormstatement · cited by 952
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.Lpstatement and proof · cited by 715
- NNReal.eqproof · cited by 201
- MeasureTheory.SMulInvariantMeasurestatement and proof · cited by 115
- MeasurableConstSMulstatement and proof · cited by 92
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