Theorems · Theorem · measure theory
measurableSet_Icc
∀ {α : Type u_1} [inst : TopologicalSpace α] {mα : MeasurableSpace α} [OpensMeasurableSpace α] [inst_2 : Preorder α]
{a b : α} [OrderClosedTopology α], MeasurableSet (Set.Icc a b)- Cited by
- 32 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- Preorderstatement and proof · cited by 7,952
- MeasurableSetstatement · cited by 3,075
- Set.Iccstatement · cited by 1,702
- OpensMeasurableSpacestatement and proof · cited by 636
- OrderClosedTopologystatement and proof · cited by 445
- IsClosed.measurableSetproof · cited by 65
- isClosed_Iccproof · cited by 17
Cited by32
Results whose statement or proof uses this declaration.
- BoundedVariationOn.vectorMeasure_Iccproof · cited by 6
- intervalIntegral.integral_deriv_smul_comp'''proof · cited by 4
- ODE.hasDerivWithinAt_picard_Iccproof · cited by 3
- MeasureTheory.aecover_Ioo_of_Iccproof · cited by 3
- intervalIntegral.integral_nonnegproof · cited by 3
- integrableOn_mul_sum_Iccproof · cited by 3
- nullMeasurableSet_Iccproof · cited by 2
- ProbabilityTheory.BrownianReal.posSemidef_covMatrixproof · cited by 2
- BoundedVariationOn.vectorMeasure_Iciproof · cited by 2
- BoxIntegral.Box.measurableSet_Iccproof · cited by 2
- Manifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIccproof · cited by 2
- setOfPred_riemannianEDist_lt_subset_nhdsproof · cited by 2