Theorems · Theorem · probability
measurable_IicProdIoc
∀ {ι : Type u_1} [inst : LinearOrder ι] [inst_1 : LocallyFiniteOrder ι] [inst_2 : DecidableLE ι] {X : ι → Type u_2}
[inst_3 : LocallyFiniteOrderBot ι] [inst_4 : (i : ι) → MeasurableSpace (X i)] {m n : ι}, Measurable (IicProdIoc m n)- Cited by
- 9 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- LinearOrderstatement and proof · cited by 8,572
- Measurablestatement and proof · cited by 1,499
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iocstatement and proof · cited by 301
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement and proof · cited by 280
- measurable_sndproof · cited by 94
- measurable_fstproof · cited by 79
- measurable_pi_lambdaproof · cited by 27
- IicProdIocstatement and proof · cited by 20
Cited by9
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.partialTraj_eq_prodproof · cited by 3
- ProbabilityTheory.Kernel.lmarginalPartialTraj_eq_lintegral_mapproof · cited by 2
- MeasureTheory.partialTraj_const_restrict₂proof · cited by 1
- MeasureTheory.Measure.pi_prod_map_IicProdIocproof · cited by 1
- ProbabilityTheory.Kernel.partialTraj_succ_map_frestrictLe₂proof · cited by 1
- ProbabilityTheory.Kernel.map_partialTraj_succ_selfproof · cited by 1
- ProbabilityTheory.Kernel.traj_eq_prodproof · cited by 1
- ProbabilityTheory.Kernel.lmarginalPartialTraj_succproof · cited by 1
- MeasureTheory.Measure.isProjectiveLimit_infinitePiNatproof · cited by 1