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Theorems · Theorem · measure theory

MeasurableEquiv.measurable

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] (e : α ≃ᵐ β), Measurable ⇑e
Defined in
Mathlib.MeasureTheory.MeasurableSpace.Embedding
Cited by
57 results in Mathlib
Foundations
Depth 20 from the axioms · uses Quot.sound
Assumes
MeasurableSpaceMeasurableSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasurableEquiv.measurableEmbedding · cited by 60MeasurableEquiv.measurabl…MeasureTheory.MeasurePreserving.symm · cited by 43MeasurePreserving.symmProbabilityTheory.Kernel.compProd_apply · cited by 31Kernel.compProd_applyMeasureTheory.measurePreserving_piCongrLeft · cited by 7MeasureTheory.measurePres…MeasureTheory.lmarginal_union · cited by 5MeasureTheory.lmarginal_u…EuclideanSpace.volume_preserving_symm_measurableEquiv_toLp · cited by 4EuclideanSpace.volume_pre…MeasurableEquiv.measurable_comp_iff · cited by 4MeasurableEquiv.measurabl…MeasurableEquiv.map_map_symm · cited by 3MeasurableEquiv.map_map_s…ProbabilityTheory.Kernel.partialTraj_eq_prod · cited by 3Kernel.partialTraj_eq_prodMeasurableEquiv.map_symm_map · cited by 3MeasurableEquiv.map_symm_…MeasureTheory.measure_lt_one_eq_integral_div_gamma · cited by 3MeasureTheory.measure_lt_…MeasureTheory.measurePreserving_piFinSuccAbove · cited by 3MeasureTheory.measurePres…MeasureTheory.measurePreserving_piUnique · cited by 3MeasureTheory.measurePres…ProbabilityTheory.Kernel.traj_map_updateFinset · cited by 3Kernel.traj_map_updateFin…MeasureTheory.measurePreserving_sumPiEquivProdPi_symm · cited by 3MeasureTheory.measurePres…DFunLike.coe · cited by 62936DFunLike.coeMeasurableSpace · cited by 13106MeasurableSpaceMeasurable · cited by 1499MeasurableMeasurableEquiv · cited by 269MeasurableEquivMeasurableEquiv.measurable_toFun · cited by 1MeasurableEquiv.measurabl…MeasurableEquiv.measurableCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by57

Results whose statement or proof uses this declaration.