Theorems · Theorem · measure theory
MeasurableSpace.generateFrom_natGeneratingSequence
∀ (α : Type u_3) [m : MeasurableSpace α] [inst : MeasurableSpace.CountablyGenerated α], MeasurableSpace.generateFrom (Set.range (MeasurableSpace.natGeneratingSequence α)) = m
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- MeasurableSpacestatement and proof · cited by 13,106
- Set.rangestatement and proof · cited by 4,705
- MeasurableSpace.generateFromstatement and proof · cited by 172
- MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
- MeasurableSpace.countable_countableGeneratingSetproof · cited by 13
- MeasurableSpace.natGeneratingSequencestatement · cited by 11
- MeasurableSpace.empty_mem_countableGeneratingSetproof · cited by 4
- MeasurableSpace.generateFrom_countableGeneratingSetproof · cited by 4
- Set.range_enumerateCountable_of_memproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- MeasurableSpace.measurableEquiv_nat_bool_of_countablyGeneratedproof · cited by 1
- MeasurableSpace.exists_eq_iUnion_countablyGeneratedAtomproof · cited by 1