Theorems · Theorem · probability
ProbabilityTheory.iSup_countableFiltration
∀ (α : Type u_2) [m : MeasurableSpace α] [inst : MeasurableSpace.CountablyGenerated α], ⨆ n, ↑(ProbabilityTheory.countableFiltration α) n = m
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- iSupstatement and proof · cited by 2,415
- MeasureTheory.Filtration.seqstatement and proof · cited by 184
- MeasurableSpace.generateFromproof · cited by 172
- MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
- ProbabilityTheory.countableFiltrationstatement and proof · cited by 23
- MeasurableSpace.countablePartitionproof · cited by 20
- MeasurableSpace.iSup_generateFromproof · cited by 2
- MeasurableSpace.generateFrom_iUnion_countablePartitionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.setIntegral_densityproof · cited by 2