Theorems · Theorem · general topology
eq_borel_upgradeStandardBorel
∀ (α : Type u_1) [inst : MeasurableSpace α] [inst_1 : StandardBorelSpace α], inst = borel α
The MeasurableSpace α instance on a StandardBorelSpace α is equal to
the Borel sets of upgradeStandardBorel α.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- StandardBorelSpacestatement and proof · cited by 304
- borelstatement · cited by 57
- BorelSpace.measurable_eqproof · cited by 26
- upgradeStandardBorelstatement · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- MeasurableSet.image_of_measurable_injOnproof · cited by 1
- MeasurableSet.isClopenable'proof · cited by 1
- MeasurableSet.analyticSet_imageproof · cited by 1