Theorems · Theorem · measure theory
borel_eq_generateFrom_isClosed
∀ {α : Type u_1} [inst : TopologicalSpace α], borel α = MeasurableSpace.generateFrom {s | IsClosed s}- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement · cited by 13,106
- Set.ofPredstatement and proof · cited by 6,101
- Compl.complproof · cited by 2,925
- IsOpenproof · cited by 2,400
- le_antisymmproof · cited by 2,068
- IsClosedstatement and proof · cited by 1,639
- MeasurableSpace.generateFromstatement · cited by 172
- isOpen_compl_iffproof · cited by 63
- borelstatement · cited by 57
- MeasurableSpace.generateFrom_leproof · cited by 49
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.ext_of_forall_lintegral_eq_of_IsFiniteMeasureproof · cited by 2
- Measure.ext_of_lintegral_prod_mul_prod_boundedContinuousFunctionproof · cited by 1
- MeasureTheory.OuterMeasure.IsMetric.borel_le_caratheodoryproof · cited by 1