Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.aestronglyMeasurable
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace β]
(f : α →ₘ[μ] β), MeasureTheory.AEStronglyMeasurable (↑f) μ- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.AEStronglyMeasurablestatement · cited by 755
- MeasureTheory.AEEqFun.caststatement · cited by 380
- MeasureTheory.StronglyMeasurable.aestronglyMeasurableproof · cited by 94
- MeasureTheory.AEEqFun.stronglyMeasurableproof · cited by 4
Cited by26
Results whose statement or proof uses this declaration.
- MeasureTheory.Lp.aestronglyMeasurableproof · cited by 18
- MeasureTheory.AEEqFun.mk_coeFnstatement and proof · cited by 11
- MeasureTheory.AEEqFun.coeFn_compproof · cited by 8
- MeasureTheory.AEEqFun.extproof · cited by 7
- MeasureTheory.AEEqFun.coeFn_comp₂proof · cited by 6
- MeasureTheory.AEEqFun.coeFn_compQuasiMeasurePreservingproof · cited by 5
- MeasureTheory.AEEqFun.pair_eq_mkstatement · cited by 3
- MeasureTheory.AEEqFun.compQuasiMeasurePreserving_eq_mkstatement and proof · cited by 2
- MeasureTheory.AEEqFun.eLpNorm_compMeasurePreservingproof · cited by 2
- QuasiErgodic.eq_const_of_compQuasiMeasurePreserving_eqproof · cited by 1
- MeasureTheory.AEEqFun.compMeasurable_eq_mkproof · cited by 1
- MeasureTheory.Lp.mem_Lp_of_ae_boundproof · cited by 1