Theorems · Theorem · measure theory
Preorder.measurable_frestrictLe
∀ {α : Type u_1} [inst : Preorder α] {X : α → Type u_2} [inst_1 : (a : α) → MeasurableSpace (X a)]
[inst_2 : LocallyFiniteOrderBot α] (a : α), Measurable (Preorder.frestrictLe a)- Cited by
- 17 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.
Cites8
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
- Preorderstatement and proof · cited by 7,952
- Measurablestatement · cited by 1,499
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement and proof · cited by 280
- Preorder.frestrictLestatement · cited by 43
- Finset.measurable_restrictproof · cited by 17
Cited by17
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.traj_map_frestrictLeproof · cited by 10
- ProbabilityTheory.Kernel.measurable_lmarginalPartialTrajproof · cited by 2
- ProbabilityTheory.Kernel.eq_traj'proof · cited by 2
- ProbabilityTheory.Kernel.integral_traj_partialTraj'proof · cited by 2
- ProbabilityTheory.Kernel.isProjectiveLimit_trajFunproof · cited by 2
- ProbabilityTheory.Kernel.partialTraj_compProd_trajproof · cited by 2
- ProbabilityTheory.Kernel.condExp_trajproof · cited by 1
- ProbabilityTheory.Kernel.setIntegral_traj_partialTraj'proof · cited by 1
- MeasureTheory.Measure.isProjectiveLimit_infinitePiNatproof · cited by 1
- ProbabilityTheory.Kernel.map_traj_succ_selfproof · cited by 1
- ProbabilityTheory.Kernel.traj_eq_prodproof · cited by 1