1.10. ForMathlib.MeasureTheory.MeasurableSpace.Embedding
From the authors
Measurable equivalences
Measurable equivalences between product and pi types, used to manipulate histories of sequential
learning algorithms (elements of Fin n → 𝓐 × 𝓨 or Iic n → 𝓐 × 𝓨).
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MeasurableEquiv.uniqueProd,MeasurableEquiv.prodUnique: drop a component that lives in a type with a unique element. -
MeasurableEquiv.IicSuccProd:(Π i : Iic (n + 1), X i) ≃ᵐ (Π i : Iic n, X i) × X (n + 1). -
MeasurableEquiv.finSuccPiIic:(Π i : Fin (n + 1), X i) ≃ᵐ (Π i : Iic n, X i). -
MeasurableEquiv.finSuccProd:(Fin (n + 1) → X) ≃ᵐ (Fin n → X) × X.
Module LeanMachineLearning.ForMathlib.MeasureTheory.MeasurableSpace.Embedding contains 20 exposed declarations.
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measurableEmbedding_prodMk_left_of_measurableSet -
coe_default_Iic_zero -
MeasurableEquiv.uniqueProd -
MeasurableEquiv.uniqueProd_apply -
MeasurableEquiv.uniqueProd_symm_apply -
MeasurableEquiv.prodUnique -
MeasurableEquiv.prodUnique_apply -
MeasurableEquiv.prodUnique_symm_apply -
MeasurableEquiv.IicSuccProd -
MeasurableEquiv.symm_IicSuccProd -
MeasurableEquiv.IicSuccProd_apply -
MeasurableEquiv.coe_prodCongr -
MeasurableEquiv.coe_refl -
MeasurableEquiv.finSuccPiIic -
MeasurableEquiv.finSuccPiIic_apply -
MeasurableEquiv.finSuccPiIic_symm_apply -
MeasurableEquiv.finSuccPiIic_symm_comp_frestrictLe -
MeasurableEquiv.finSuccProd -
MeasurableEquiv.finSuccProd_apply -
MeasurableEquiv.finSuccProd_symm_apply