OAI/Analysis/SeparableQuotients/Model.lean
4 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.SeparableQuotient.CHline 12Source documentation
The continuum hypothesis.
Also declared: ComparatorChallenges/SeparableQuotientNegative.lean:12 (same declaration text).
def CH : Prop := Cardinal.mk ℝ = Cardinal.aleph 1
- def
OAI.SeparableQuotient.HasSeparableQuotientline 15Source 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 := … - def
OAI.SeparableQuotient.SQline 22Source 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 := …
- def
OAI.SeparableQuotient.RealValuedMeasurableContinuumline 29Source 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 := …