Theorems · Theorem · general topology
Continuous.map_borel_eq
∀ {X : Type u_3} {Y : Type u_4} [inst : TopologicalSpace X] [PolishSpace X] [inst_2 : TopologicalSpace Y] [T0Space Y]
[SecondCountableTopology Y] {f : X → Y},
Continuous f → Function.Surjective f → MeasurableSpace.map f (borel X) = borel Y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement · cited by 13,106
- Continuousstatement and proof · cited by 2,592
- SecondCountableTopologystatement and proof · cited by 750
- T0Spacestatement and proof · cited by 179
- borelstatement · cited by 57
- PolishSpacestatement and proof · cited by 57
- MeasurableSpace.mapstatement · cited by 23
- Continuous.map_eq_borelproof · cited by 1
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