Theorems · Theorem · measure theory
MeasureTheory.Measure.isClosed_support
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : MeasurableSpace X] {μ : MeasureTheory.Measure X},
IsClosed μ.support- Defined in
- Mathlib.MeasureTheory.Measure.Support
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- nhdsproof · cited by 5,554
- IsOpenproof · cited by 2,400
- IsClosedstatement · cited by 1,639
- Filter.Frequentlyproof · cited by 414
- nhds_basis_opensproof · cited by 54
- MeasureTheory.Measure.supportstatement · cited by 41
- Filter.HasBasis.frequently_iffproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.isOpen_compl_supportproof · cited by 2
- MeasureTheory.hasDerivAt_resolventTransformproof · cited by 1
- MeasureTheory.norm_resolvent_le_inv_infDist_supportproof · cited by 1
- MeasureTheory.analyticOn_resolventTransformproof · cited by 0