Theorems · Theorem · measure theory

MeasurableEquiv.piCurry_symm_apply

∀ {ι : Type u_6} {κ : ι → Type u_7} (X : (i : ι) → κ i → Type u_8)
  [inst : (i : ι) → (j : κ i) → MeasurableSpace (X i j)] (f : (x : ι) → (y : κ x) → X x y) (x : Sigma κ),
  (MeasurableEquiv.piCurry X).symm f x = Sigma.uncurry f x

Defined in: Mathlib.MeasureTheory.MeasurableSpace.Embedding
Cited by: 1 results in Mathlib
Foundations: Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MeasurableSpace

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Cites6

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
MeasurableEquivstatement · cited by 269
MeasurableEquiv.symmstatement and proof · cited by 155
Sigma.uncurrystatement · cited by 21
MeasurableEquiv.piCurrystatement and proof · cited by 8

Cited by1

Results whose statement or proof uses this declaration.

MeasureTheory.Measure.infinitePi_map_curry_symmproof · cited by 1