Theorems · Definition · measure theory
MeasurableEquiv.piCongrLeft
{δ : Type u_4} →
{δ' : Type u_5} →
(π : δ' → Type u_6) →
[inst : (x : δ') → MeasurableSpace (π x)] → (f : δ ≃ δ') → ((b : δ) → π (f b)) ≃ᵐ ((a : δ') → π a)Moving a dependent type along an equivalence of coordinates, as a measurable equivalence.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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.
- DFunLike.coestatement and proof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- Equivstatement and proof · cited by 8,337
- MeasurableEquivstatement · cited by 269
- Equiv.piCongrLeftproof · cited by 36
Cited by17
Results whose statement or proof uses this declaration.
- MeasureTheory.measurePreserving_piCongrLeftstatement and proof · cited by 7
- MeasurableEquiv.coe_piCongrLeftstatement and proof · cited by 6
- MeasureTheory.integral_fintype_prod_eq_prodproof · cited by 4
- MeasurableEquiv.piFinsetUnionproof · cited by 3
- MeasureTheory.Measure.pi_map_piCongrLeftstatement · cited by 3
- MeasureTheory.lmarginal_univproof · cited by 3
- MeasureTheory.piContent_eq_measure_piproof · cited by 1
- MeasureTheory.piContent_tendsto_zeroproof · cited by 1
- MeasureTheory.measurePreserving_arrowCongr'proof · cited by 1
- MeasureTheory.Filtration.piLE_eq_comap_frestrictLeproof · cited by 1
- MeasureTheory.Measure.infinitePiNat_map_piCongrLeftstatement and proof · cited by 1
- MeasureTheory.Measure.infinitePi_map_curry_symmproof · cited by 1