Theorems · Theorem · measure theory
MeasureTheory.monotone_spanningSets
∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α) [inst : MeasureTheory.SigmaFinite μ],
Monotone (MeasureTheory.spanningSets μ)- Cited by
- 8 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SigmaFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Monotonestatement · cited by 1,397
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- MeasureTheory.spanningSetsstatement · cited by 45
- Set.monotone_accumulateproof · cited by 10
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.mem_spanningSets_of_index_leproof · cited by 1
- MeasureTheory.univ_le_of_forall_fin_meas_leproof · cited by 1
- MeasureTheory.Measure.iSup_restrict_spanningSets_of_measurableSetproof · cited by 1
- exists_spanning_measurableSet_leproof · cited by 1
- MeasureTheory.setIntegral_condExpL1CLMproof · cited by 1
- MeasureTheory.spanningSets_monoproof · cited by 1
- MeasureTheory.Measure.InnerRegularWRT.of_sigmaFiniteproof · cited by 0