Theorems · Definition · measure theory

WithTop.MeasurableEquiv.neTopEquiv

{ι : Type u_1} →
  [inst : LinearOrder ι] →
    [inst_1 : TopologicalSpace ι] →
      [inst_2 : OrderTopology ι] → [inst_3 : MeasurableSpace ι] → [BorelSpace ι] → ↑{r | r ≠ ⊤} ≃ᵐ ι

Measurable equivalence between the non-top elements of WithTop ι and ι.

Defined in: Mathlib.MeasureTheory.Constructions.BorelSpace.WithTop
Cited by: 1 results in Mathlib
Foundations: Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: LinearOrder TopologicalSpace OrderTopology MeasurableSpace BorelSpace

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Cites13

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
MeasurableSpacestatement and proof · cited by 13,106
Top.topstatement · cited by 9,680
LinearOrderstatement and proof · cited by 8,572
Set.Elemstatement · cited by 7,166
Set.ofPredstatement · cited by 6,101
WithTopstatement · cited by 3,754
BorelSpacestatement and proof · cited by 1,602
OrderTopologystatement and proof · cited by 1,355
MeasurableEquivstatement · cited by 269
Homeomorph.toMeasurableEquivproof · cited by 32

Cited by1

Results whose statement or proof uses this declaration.

WithTop.measurable_of_measurable_comp_coeproof · cited by 1