Theorems · Theorem · measure theory

Module.Basis.prod_addHaar

∀ {ι : Type u_1} {ι' : Type u_2} {E : Type u_3} {F : Type u_4} [inst : Fintype ι] [inst_1 : Fintype ι']
  [inst_2 : NormedAddCommGroup E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace ℝ E] [inst_5 : NormedSpace ℝ F]
  [inst_6 : MeasurableSpace E] [inst_7 : BorelSpace E] [inst_8 : MeasurableSpace F] [inst_9 : BorelSpace F]
  [inst_10 : SecondCountableTopologyEither E F] (v : Module.Basis ι ℝ E) (w : Module.Basis ι' ℝ F),
  (v.prod w).addHaar = v.addHaar.prod w.addHaar

Defined in: Mathlib.MeasureTheory.Measure.Haar.OfBasis
Cited by: 0 results in Mathlib
Foundations: Depth 237 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fintype Fintype NormedAddCommGroup NormedAddCommGroup NormedSpace NormedSpace MeasurableSpace BorelSpace MeasurableSpace BorelSpace SecondCountableTopologyEither

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DFunLike.coeproof · cited by 62,936
Realstatement and proof · cited by 25,697
NormedAddCommGroupstatement and proof · cited by 15,752
MeasurableSpacestatement and proof · cited by 13,106
NormedSpacestatement and proof · cited by 12,499
MeasureTheory.Measurestatement and proof · cited by 10,939
SetLike.coeproof · cited by 8,199
Fintypestatement and proof · cited by 7,736
mul_oneproof · cited by 3,885
FiniteDimensionalproof · cited by 1,854
BorelSpacestatement and proof · cited by 1,602
Module.Basisstatement and proof · cited by 1,477

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