Theorems · Theorem · functional analysis
MeasureTheory.memLp_top_const
∀ {α : Type u_1} {E : Type u_4} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup E]
(c : E), MeasureTheory.MemLp (fun x => c) ⊤ μ- Cited by
- 6 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 9,879
- Top.topstatement · cited by 9,680
- MeasureTheory.MemLpstatement · cited by 457
- enorm_ne_topproof · cited by 82
- MeasureTheory.memLp_top_const_enormproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.Integrable.smul_constproof · cited by 4
- MeasureTheory.MemLp.norm_rpow_divproof · cited by 2
- MonotoneOn.memLp_topproof · cited by 2
- MeasureTheory.exists_continuous_eLpNorm_sub_le_of_closedproof · cited by 2
- MeasureTheory.nontrivial_Lp_real_of_nontrivial_Lpproof · cited by 1
- MeasureTheory.memLp_id_of_self_sub_integralproof · cited by 1