/- Axiom audit for the q100 public wrapper port. -/ import FormalSLT.Rademacher.HighProbRademacher import FormalSLT.Rademacher.LinearPredictorRademacher import FormalSLT.Rademacher.RademacherContraction import FormalSLT.Rademacher.RademacherSymmetrization import FormalSLT.VC.VCDimension import FormalSLT.VC.VCRademacher import FormalSLT.VC.VCSampleComplexity import FormalSLT.LinearAlgebra.CommonInequalities import FormalSLT.Probability.BorelCantelli import FormalSLT.Probability.KolmogorovAxioms import FormalSLT.Probability.LawOfLargeNumbers import FormalSLT.Probability.Martingale import FormalSLT.Probability.MeasureConvergence import FormalSLT.Probability.Moments import FormalSLT.Statistics.AsymptoticStatistics #print axioms FormalSLT.Rademacher.HighProbRademacher.genGap_highProb_rademacher #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.signProduct_same #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.sum_signProduct #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.avg_signProduct #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.sum_sign_norm_sq #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.sup_inner_le #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.sign_avg_norm_le_sqrt #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.linearPredictor_rademacher #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.linearPredictor_rademacher_uniform #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.linearPredictor_rademacher_finiteDim #print axioms FormalSLT.Rademacher.LinearPredictorRademacher.linearPredictor_rademacher_uniform_finiteDim #print axioms FormalSLT.Rademacher.RademacherContraction.comparison_lemma #print axioms FormalSLT.Rademacher.RademacherContraction.comparison_lemma_scaled #print axioms FormalSLT.Rademacher.RademacherContraction.sum_equiv_perm #print axioms FormalSLT.Rademacher.RademacherContraction.one_step_contraction #print axioms FormalSLT.Rademacher.RademacherContraction.contraction_1lip #print axioms FormalSLT.Rademacher.RademacherContraction.finiteSampleScalarContraction_lipschitz #print axioms FormalSLT.Rademacher.RademacherContraction.contraction_empirical #print axioms FormalSLT.Rademacher.RademacherContraction.empiricalRademacherComplexity_contraction_lipschitz #print axioms FormalSLT.Rademacher.RademacherSymmetrization.expected_genGap_le_two_expected_empiricalRademacherComplexity #print axioms FormalSLT.VC.VCDimension.sauerShelahFiniteSetFamily #print axioms FormalSLT.VC.VCRademacher.effectiveClass_nonempty #print axioms FormalSLT.VC.VCRademacher.effectiveClass_card_le #print axioms FormalSLT.VC.VCRademacher.sup'_eq_sup'_effectiveClass #print axioms FormalSLT.VC.VCRademacher.empiricalRademacherComplexity_le_massart_effective #print axioms FormalSLT.VC.VCSampleComplexity.vcRademacher_pointwise #print axioms FormalSLT.VC.VCSampleComplexity.expected_rademacher_le_vc #print axioms FormalSLT.VC.VCSampleComplexity.genGap_highProb_vcClass #print axioms FormalSLT.VC.VCSampleComplexity.uniformDeviation_highProb_vcClass #print axioms FormalSLT.VC.VCSampleComplexity.vc_erm_excessRisk_tail #print axioms FormalSLT.LinearAlgebra.CommonInequalities.cauchySchwarzRealInner #print axioms FormalSLT.LinearAlgebra.CommonInequalities.jensenIntegralAverageConvex #print axioms FormalSLT.LinearAlgebra.CommonInequalities.jensenProbabilityIntegralConvex #print axioms FormalSLT.LinearAlgebra.CommonInequalities.jensenProbabilityIntegralConcave #print axioms FormalSLT.LinearAlgebra.CommonInequalities.jensenFiniteWeightedConvex #print axioms FormalSLT.LinearAlgebra.CommonInequalities.jensenFiniteWeightedConcave #print axioms FormalSLT.Probability.BorelCantelli.borelCantelliFirstLimsupMeasureZero #print axioms FormalSLT.Probability.BorelCantelli.borelCantelliFirstEventuallyNotMem #print axioms FormalSLT.Probability.BorelCantelli.borelCantelliSecondIndependentLimsupMeasureOne #print axioms FormalSLT.Probability.KolmogorovAxioms.probabilityMeasureBasicIdentities #print axioms FormalSLT.Probability.KolmogorovAxioms.probabilityMeasureFiniteAdditivity #print axioms FormalSLT.Probability.KolmogorovAxioms.probabilityMeasureCountableAdditivity #print axioms FormalSLT.Probability.KolmogorovAxioms.probabilityMeasureComplementRule #print axioms FormalSLT.Probability.KolmogorovAxioms.probabilityMeasureFiniteUnionBound #print axioms FormalSLT.Probability.KolmogorovAxioms.probabilityMeasureCountableUnionBound #print axioms FormalSLT.Probability.KolmogorovAxioms.probabilityMeasureContinuityFromBelow #print axioms FormalSLT.Probability.KolmogorovAxioms.probabilityMeasureContinuityFromAbove #print axioms FormalSLT.Probability.LawOfLargeNumbers.strongLawAverageTendstoAlmostSure #print axioms FormalSLT.Probability.LawOfLargeNumbers.weakLawAverageTendstoInMeasure #print axioms FormalSLT.Probability.Martingale.doobWeakMaximalInequality #print axioms FormalSLT.Probability.MeasureConvergence.monotoneConvergenceLIntegral #print axioms FormalSLT.Probability.MeasureConvergence.fatouLemmaLIntegral #print axioms FormalSLT.Probability.MeasureConvergence.dominatedConvergenceIntegral #print axioms FormalSLT.Probability.Moments.varianceOfFiniteSumWithCovariance #print axioms FormalSLT.Probability.Moments.varianceOfFiniteSumPairwiseUncorrelated #print axioms FormalSLT.Probability.Moments.lawOfTotalVariance #print axioms FormalSLT.Statistics.AsymptoticStatistics.continuousMappingTheoremContinuous #print axioms FormalSLT.Statistics.AsymptoticStatistics.slutskyTheoremPair #print axioms FormalSLT.Statistics.AsymptoticStatistics.slutskyTheoremAdd #print axioms FormalSLT.Statistics.AsymptoticStatistics.slutskyTheoremContinuous