Theorems · Theorem · measure theory
MeasurableSpace.DynkinSystem.generate_le
∀ {α : Type u_3} (d : MeasurableSpace.DynkinSystem α) {s : Set (Set α)},
(∀ t ∈ s, d.Has t) → MeasurableSpace.DynkinSystem.generate s ≤ d- Defined in
- Mathlib.MeasureTheory.PiSystem
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Disjointproof · cited by 2,201
- Function.onFunproof · cited by 570
- Pairwiseproof · cited by 516
- MeasurableSpace.DynkinSystemstatement and proof · cited by 19
- MeasurableSpace.DynkinSystem.Hasstatement and proof · cited by 17
- MeasurableSpace.DynkinSystem.GenerateHasproof · cited by 5
- MeasurableSpace.DynkinSystem.generatestatement and proof · cited by 5
- MeasurableSpace.DynkinSystem.has_complproof · cited by 4
- MeasurableSpace.DynkinSystem.has_emptyproof · cited by 3
- MeasurableSpace.DynkinSystem.has_iUnionproof · cited by 2
- MeasurableSpace.DynkinSystem.GenerateHas.recOnproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MeasurableSpace.DynkinSystem.generate_interproof · cited by 1
- MeasurableSpace.DynkinSystem.generateFrom_eqproof · cited by 1
- MeasurableSpace.DynkinSystem.generate_has_subset_generate_measurableproof · cited by 0