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Theorems · Definition · measure theory

AddCircle.measurableEquivIoc

(T : ℝ) → [hT : Fact (0 < T)] → (a : ℝ) → AddCircle T ≃ᵐ ↑(Set.Ioc a (a + T))

The isomorphism AddCircle T ≃ Ioc a (a + T) whose inverse is the natural quotient map, as an equivalence of measurable spaces.

Defined in
Mathlib.MeasureTheory.Integral.IntervalIntegral.Periodic
Cited by
4 results in Mathlib
Foundations
Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fact

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