OAI/Probability/Subsphere/Kernels/Precision.lean
77 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.SubsphereCurrent.borelPMFline 17 - lemma
OAI.SubsphereCurrent.measurable_borelPMFline 22 - lemma
OAI.SubsphereCurrent.borelPMF_ae_eqline 37 - def
OAI.SubsphereCurrent.KernelLearner.borelVersionline 54 - lemma
OAI.SubsphereCurrent.KernelLearner.borelVersion_rulesline 61 - lemma
OAI.SubsphereCurrent.KernelLearner.run_congrline 66 - lemma
OAI.SubsphereCurrent.KernelLearner.borelVersion_success_aeline 85 - def
OAI.SubsphereCurrent.finiteCDFline 114 - lemma
OAI.SubsphereCurrent.finiteCDF_zeroline 117 - lemma
OAI.SubsphereCurrent.finiteCDF_succline 120 - lemma
OAI.SubsphereCurrent.finiteCDF_monoline 124 - lemma
OAI.SubsphereCurrent.finiteCDF_totalline 130 - lemma
OAI.SubsphereCurrent.finiteCDF_interval_uniqueline 138 - lemma
OAI.SubsphereCurrent.finiteCDF_interval_existsline 149 - def
OAI.SubsphereCurrent.finiteSampleline 165 - lemma
OAI.SubsphereCurrent.finiteSample_eq_on_intervalline 169 - lemma
OAI.SubsphereCurrent.finiteSample_eq_iffline 176 - lemma
OAI.SubsphereCurrent.measurable_finiteCDFline 197 - lemma
OAI.SubsphereCurrent.measurable_finiteSampleline 207 - def
OAI.SubsphereCurrent.coinLawline 223 - instance
OAI.SubsphereCurrent.coinLaw_probabilityline 225 - lemma
OAI.SubsphereCurrent.finiteSample_mapline 229 - lemma
OAI.SubsphereCurrent.lintegral_finiteSampleline 260 - lemma
OAI.SubsphereCurrent.pmf_map_equiv_applyline 271 - def
OAI.SubsphereCurrent.samplePMFline 283 - lemma
OAI.SubsphereCurrent.measurable_samplePMFline 287 - lemma
OAI.SubsphereCurrent.lintegral_samplePMFline 295 - lemma
OAI.SubsphereCurrent.samplePMF_mapline 305 - lemma
OAI.SubsphereCurrent.pmf_toMeasure_bindline 331 - lemma
OAI.SubsphereCurrent.pmf_lintegral_bindline 340 - def
OAI.SubsphereCurrent.detChainline 350 - def
OAI.SubsphereCurrent.lawChainline 354 - lemma
OAI.SubsphereCurrent.detChain_snocline 359 - lemma
OAI.SubsphereCurrent.measurable_detChainline 364 - lemma
OAI.SubsphereCurrent.detChain_lintegralline 374 - lemma
OAI.SubsphereCurrent.lawChain_bind_initialline 398 - instance
OAI.SubsphereCurrent.sumMeasurableSingletonClassline 420 - lemma
OAI.SubsphereCurrent.measurable_countable_selectline 428 - lemma
OAI.SubsphereRegression.Learner.measurable_run_of_rulesline 439 - lemma
OAI.SubsphereRegression.Learner.measurable_estimate_of_rulesline 482 - abbrev
OAI.SubsphereCurrent.KernelLearner.OutputTapeline 502 - abbrev
OAI.SubsphereCurrent.KernelLearner.Tapeline 503 - def
OAI.SubsphereCurrent.KernelLearner.outputTapeLawline 505 - instance
OAI.SubsphereCurrent.KernelLearner.outputTapeLaw_probabilityline 508 - def
OAI.SubsphereCurrent.KernelLearner.tapeLawline 515 - instance
OAI.SubsphereCurrent.KernelLearner.tapeLaw_probabilityline 518 - def
OAI.SubsphereCurrent.KernelLearner.tapeCoinline 521 - lemma
OAI.SubsphereCurrent.KernelLearner.measurable_tapeCoinline 524 - def
OAI.SubsphereCurrent.KernelLearner.asTapeline 529 - lemma
OAI.SubsphereCurrent.KernelLearner.asTape_measurable_transitionline 535 - lemma
OAI.SubsphereCurrent.KernelLearner.asTape_admissibleline 541 - def
OAI.SubsphereCurrent.KernelLearner.stepPMFline 556 - def
OAI.SubsphereCurrent.KernelLearner.stepDetline 564 - lemma
OAI.SubsphereCurrent.KernelLearner.stepDet_measurableline 573 - lemma
OAI.SubsphereCurrent.KernelLearner.stepDet_mapline 585 - lemma
OAI.SubsphereCurrent.KernelLearner.run_eq_bind_chainline 600 - lemma
OAI.SubsphereCurrent.KernelLearner.asTape_run_eq_detChainline 611 - def
OAI.SubsphereCurrent.KernelLearner.finishline 625 - lemma
OAI.SubsphereCurrent.KernelLearner.asTape_estimate_eqline 628 - lemma
OAI.SubsphereCurrent.KernelLearner.lintegral_outputTape_evalline 636 - lemma
OAI.SubsphereCurrent.KernelLearner.lintegral_asTape_estimateline 643 - instance
OAI.SubsphereCurrent.sampleLaw_probabilityline 697 - instance
OAI.SubsphereCurrent.uniformSphere_probabilityline 699 - def
OAI.SubsphereCurrent.swapFirstTwoline 702 - lemma
OAI.SubsphereCurrent.measurePreserving_swapFirstTwoline 709 - instance
OAI.SubsphereCurrent.KernelLearner.estimateLaw_probabilityline 719 - lemma
OAI.SubsphereCurrent.KernelLearner.conditionalSuccess_le_oneline 724 - def
OAI.SubsphereCurrent.KernelLearner.successTestline 728 - lemma
OAI.SubsphereCurrent.KernelLearner.measurable_successTestline 731 - lemma
OAI.SubsphereCurrent.KernelLearner.conditionalSuccess_eq_integral_tapeline 741 - lemma
OAI.SubsphereCurrent.KernelLearner.measurable_tape_testline 750 - lemma
OAI.SubsphereCurrent.KernelLearner.measurable_conditionalSuccessline 759 - lemma
OAI.SubsphereCurrent.KernelLearner.uniformSuccess_asTapeline 766 - lemma
OAI.SubsphereCurrent.SeededLearner.uniformSuccess_average_seedline 801 - lemma
OAI.SubsphereCurrent.SeededLearner.uniformSuccess_of_pointwiseline 821 - lemma
OAI.SubsphereCurrent.SeededLearner.exists_good_seedline 830 - theorem
OAI.SubsphereCurrent.explicit_precisionline 866