Theorems · Theorem · measure theory

isAddFundamentalDomain_Ioc

∀ {T : ℝ},
  0 < T →
    ∀ (t : ℝ) (μ : autoParam (MeasureTheory.Measure ℝ) isAddFundamentalDomain_Ioc._auto_1),
      MeasureTheory.IsAddFundamentalDomain (↥(AddSubgroup.zmultiples T)) (Set.Ioc t (t + T)) μ

Defined in: Mathlib.MeasureTheory.Integral.IntervalIntegral.Periodic
Cited by: 1 results in Mathlib
Foundations: Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites19

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Realstatement and proof · cited by 25,697
MeasureTheory.Measurestatement and proof · cited by 10,939
SetLike.coeproof · cited by 8,199
AddSubgroupstatement · cited by 3,232
add_commproof · cited by 1,535
Set.Iocstatement and proof · cited by 971
Function.Bijectiveproof · cited by 863
AddSubgroup.zmultiplesstatement and proof · cited by 493
ExistsUniqueproof · cited by 268
Equiv.bijectiveproof · cited by 132
StrictMono.injectiveproof · cited by 94
MeasureTheory.IsAddFundamentalDomainstatement · cited by 88

Cited by1

Results whose statement or proof uses this declaration.

Function.Periodic.intervalIntegral_add_eqproof · cited by 7