Mathlib Map

Theorems · Theorem · measure theory

MeasurableEmbedding.subtype_coe

∀ {α : Type u_1} {s : Set α} {mα : MeasurableSpace α}, MeasurableSet s → MeasurableEmbedding Subtype.val
Defined in
Mathlib.MeasureTheory.MeasurableSpace.Embedding
Cited by
27 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

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

map_comap_subtype_coe · cited by 14map_comap_subtype_coeMeasureTheory.lintegral_image_eq_lintegral_abs_det_fderiv_mul · cited by 6MeasureTheory.lintegral_i…MeasureTheory.integral_image_eq_integral_abs_det_fderiv_smul · cited by 6MeasureTheory.integral_im…MeasureTheory.integral_subtype_comap · cited by 5MeasureTheory.integral_su…MeasurableEmbedding.measurable_rangeSplitting · cited by 3MeasurableEmbedding.measu…MeasureTheory.Measure.toSphere_apply' · cited by 3Measure.toSphere_apply'Topology.IsEmbedding.measurableEmbedding · cited by 3IsEmbedding.measurableEmb…MeasureTheory.lintegral_subtype_comap · cited by 2MeasureTheory.lintegral_s…comap_subtype_coe_apply · cited by 2comap_subtype_coe_applyManifold.lintegral_norm_mfderiv_Icc_eq_pathELength_projIcc · cited by 2Manifold.lintegral_norm_m…MeasureTheory.integrableOn_image_iff_integrableOn_abs_det_fderiv_smul · cited by 2MeasureTheory.integrableO…Meromorphic.measurable · cited by 2Meromorphic.measurableMeasureTheory.locallyIntegrable_comap · cited by 1MeasureTheory.locallyInte…AddCircle.lintegral_preimage · cited by 1AddCircle.lintegral_preim…aemeasurable_restrict_iff_comap_subtype · cited by 1aemeasurable_restrict_iff…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasurableSet · cited by 3075MeasurableSetSubtype.coe_injective · cited by 205Subtype.coe_injectiveMeasurableEmbedding · cited by 170MeasurableEmbeddingmeasurable_subtype_coe · cited by 30measurable_subtype_coeMeasurableSet.subtype_image · cited by 7MeasurableSet.subtype_ima…MeasurableEmbedding.subtype_c…CITED BYCITES

Cites7

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

Cited by27

Results whose statement or proof uses this declaration.