Documentation Verification Report

Complex

📁 Source: Mathlib/MeasureTheory/Constructions/BorelSpace/Complex.lean

Statistics

MetricCount
DefinitionsmeasurableSpace, measurableSpace
2
TheoremsborelSpace, borelSpace
2
Total4

Complex

Definitions

NameCategoryTheorems
measurableSpace 📖CompOp
87 mathmath: AEMeasurable.csin, NumberField.mixedEmbedding.integral_comp_polarSpaceCoord_symm, NumberField.mixedEmbedding.fundamentalDomain_integerLattice, Measurable.csin, Measurable.complex_ofReal, NumberField.mixedEmbedding.lintegral_comp_polarCoord_symm, integral_comp_pi_polarCoord_symm, measurable_arg, borelSpace, AEMeasurable.csinh, NumberField.mixedEmbedding.measurableSet_plusPart, NumberField.mixedEmbedding.instIsAddHaarMeasureMixedSpaceVolume, NumberField.mixedEmbedding.instNoAtomsMixedSpaceVolume, NumberField.mixedEmbedding.convexBodyLT_volume, integral_rpow_mul_exp_neg_rpow, volume_sum_rpow_le, measurableEquivPi_apply, NumberField.mixedEmbedding.fundamentalCone.volume_frontier_normLeOne, NumberField.mixedEmbedding.iUnion_negAt_plusPart_ae, NumberField.mixedEmbedding.fundamentalCone.volume_interior_eq_volume_closure, integral_comp_polarCoord_symm, NumberField.mixedEmbedding.convexBodySum_volume_eq_zero_of_le_zero, measurableEquivRealProd_apply, measurable_circleMap, AEMeasurable.ccosh, integral_exp_neg_rpow, measurable_re, NumberField.mixedEmbedding.fundamentalDomain_idealLattice, Measurable.ccos, Measurable.cexp, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed, NumberField.mixedEmbedding.covolume_idealLattice, NumberField.mixedEmbedding.volume_preserving_negAt, Measurable.csinh, measurable_cos, NumberField.mixedEmbedding.volume_preserving_mixedSpaceToRealMixedSpace_symm, integral_exp_neg_mul_rpow, volume_sum_rpow_lt, lintegral_comp_polarCoord_symm, NumberField.mixedEmbedding.fundamentalDomain_stdBasis, measurable_im, NumberField.mixedEmbedding.measurableSet_fundamentalCone, measurable_exp, measurableEquivRealProd_symm_polarCoord_symm_apply, volume_preserving_equiv_real_prod, NumberField.mixedEmbedding.covolume_integerLattice, volume_closedBall, NumberField.mixedEmbedding.volume_fundamentalDomain_fractionalIdealLatticeBasis, AEMeasurable.cexp, NumberField.mixedEmbedding.volume_negAt_plusPart, NumberField.mixedEmbedding.convexBodyLT'_volume, measurableEquivPi_symm_apply, NumberField.mixedEmbedding.volume_eq_two_pow_mul_two_pi_pow_mul_integral, measurable_sinh, volume_preserving_equiv_pi, AEMeasurable.complex_ofReal, NumberField.mixedEmbedding.volume_eq_zero, NumberField.mixedEmbedding.measurable_polarCoord_symm, measurable_sin, Measurable.ccosh, measurable_log, integral_rpow_mul_exp_neg_mul_rpow, measurable_cosh, volume_ball, AEMeasurable.ccos, UpperHalfPlane.measurableEmbedding_coe, NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasis, lintegral_comp_pi_polarCoord_symm, volume_sum_rpow_lt_one, NumberField.mixedEmbedding.measurableSet_negAt_plusPart, NumberField.mixedEmbedding.euclidean.volumePreserving_toMixed_symm, NumberField.mixedEmbedding.fundamentalCone.volume_normLeOne, measurable_ofReal, hasMeasurablePow, NumberField.mixedEmbedding.volume_eq_two_pi_pow_mul_integral, Measurable.clog, NumberField.mixedEmbedding.convexBodySum_volume, measurableEquivRealProd_symm_apply, MeasureTheory.measurable_charFun, NumberField.mixedEmbedding.integral_comp_polarCoord_symm, AEMeasurable.clog, NumberField.mixedEmbedding.fundamentalCone.measurableSet_normLeOne, NumberField.mixedEmbedding.measurable_polarSpaceCoord_symm, UpperHalfPlane.measurable_coe, NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasis, NumberField.mixedEmbedding.volume_eq_two_pow_mul_volume_plusPart, NumberField.mixedEmbedding.lintegral_comp_polarSpaceCoord_symm

Theorems

NameKindAssumesProvesValidatesDepends On
borelSpace 📖mathematicalBorelSpace
Complex
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedRing.toPseudoMetricSpace
SeminormedCommRing.toSeminormedRing
NormedCommRing.toSeminormedCommRing
NormedField.toNormedCommRing
instNormedField
measurableSpace

RCLike

Definitions

NameCategoryTheorems
measurableSpace 📖CompOp
14 mathmath: measurable_ofReal, aemeasurable_of_re_im, Measurable.inner, borelSpace, HasCompactSupport.hasDerivAt_convolution_right, AEMeasurable.const_inner, measurable_re, AEMeasurable.inner, Measurable.const_inner, AEMeasurable.inner_const, measurable_of_re_im, measurable_im, HasCompactSupport.hasDerivAt_convolution_left, Measurable.inner_const

Theorems

NameKindAssumesProvesValidatesDepends On
borelSpace 📖mathematicalBorelSpace
UniformSpace.toTopologicalSpace
PseudoMetricSpace.toUniformSpace
SeminormedRing.toPseudoMetricSpace
SeminormedCommRing.toSeminormedRing
NormedCommRing.toSeminormedCommRing
NormedField.toNormedCommRing
DenselyNormedField.toNormedField
toDenselyNormedField
measurableSpace

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