Mathlib Map

Structures · Analysis

MeasurableSpace

A measurable space is a space equipped with a σ-algebra.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.Defs
Shape
One type argument · adds MeasurableSet', measurableSet_empty, measurableSet_compl, measurableSet_iUnion

Extends0

Extends nothing: this is a root of the hierarchy.

Extended by3

Forgetful instances

Provided automatically by

Concrete types that are instances44

  • Int
  • Nat
  • Real
  • Rat
  • Bool
  • Complex
  • NNReal
  • ContinuousLinearMap
  • ZMod
  • ENNReal
  • ENat
  • Units
  • WithLp
  • EReal
  • AddUnits
  • Empty
  • AddChar
  • SimpleGraph
  • MeasureTheory.Measure
  • UpperHalfPlane
  • MeasureTheory.FiniteMeasure
  • MeasureTheory.NullMeasurableSpace
  • IterateMulAct
  • IterateAddAct
  • MeasureTheory.ProbabilityMeasure
  • List.TProd
  • SFinKer.carrier
  • MeasCat.carrier
  • Subtype
  • Prod
  • OrderDual
  • ULift
  • MulOpposite
  • Fin
  • PUnit
  • AddOpposite
  • HasQuotient.Quotient
  • WithTop
  • Sum
  • Sigma
  • Set
  • Finset
  • Quotient
  • Quot

How is a type an instance?

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Assumed by6,195

Ancestors0

No ancestors.