Theorems · Theorem · functional analysis
MeasureTheory.memLp_const
∀ {α : Type u_1} {E : Type u_4} {m0 : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
[inst : NormedAddCommGroup E] (c : E) [MeasureTheory.IsFiniteMeasure μ], MeasureTheory.MemLp (fun x => c) p μ- Cited by
- 16 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 9,879
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.MemLpstatement · cited by 457
- enorm_ne_topproof · cited by 82
- MeasureTheory.memLp_const_enormproof · cited by 3
Cited by16
Results whose statement or proof uses this declaration.
- MeasureTheory.MemLp.of_boundproof · cited by 6
- ProbabilityTheory.covariance_add_leftproof · cited by 4
- ProbabilityTheory.evariance_lt_topproof · cited by 3
- MeasureTheory.MemLp.toLp_conststatement · cited by 3
- ProbabilityTheory.evariance_eq_topproof · cited by 2
- MeasureTheory.memLp_indicator_constproof · cited by 2
- ProbabilityTheory.variance_add_constproof · cited by 2
- ProbabilityTheory.covarianceBilinDual_applyproof · cited by 2
- MeasureTheory.indicatorConstLp_univproof · cited by 1
- MeasureTheory.memLp_of_boundedproof · cited by 1
- ProbabilityTheory.variance_le_expectation_sqproof · cited by 1
- ProbabilityTheory.covarianceBilin_map_const_addproof · cited by 1