OAI/Analysis/SeparableQuotients/Model.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SeparableQuotient.CH line 12

    Source documentation

    The continuum hypothesis.

    Also declared: ComparatorChallenges/SeparableQuotientNegative.lean:12 (same declaration text).

    def CH : Prop := Cardinal.mk ℝ = Cardinal.aleph 1
  2. def OAI.SeparableQuotient.HasSeparableQuotient line 15

    Source documentation

    A bounded linear surjection onto an infinite-dimensional separable Banach space.

    Also declared: ComparatorChallenges/SeparableQuotientNegative.lean:15 (same declaration text).

    def HasSeparableQuotient (𝕜 : Type) [RCLike 𝕜]
        (X : Type u) [NormedAddCommGroup X] [NormedSpace 𝕜 X] : Prop :=
    …
  3. def OAI.SeparableQuotient.SQ line 22

    Source documentation

    The separable quotient assertion at an arbitrary ambient universe.

    Also declared: ComparatorChallenges/SeparableQuotientNegative.lean:22 (same declaration text).

    def SQ (𝕜 : Type) [RCLike 𝕜] : Prop :=
    …
  4. def OAI.SeparableQuotient.RealValuedMeasurableContinuum line 29

    Source documentation

    The probability measure is defined on the full powerset of the continuum. The last clause quantifies over every smaller index set (represented as a subset of ℝ); ENNReal tsum is the supremum of finite subsums.

    def RealValuedMeasurableContinuum : Prop :=
    …