Theorems · Definition · measure theory
AddCircle.measurableEquivIco
(T : ℝ) → [hT : Fact (0 < T)] → (a : ℝ) → AddCircle T ≃ᵐ ↑(Set.Ico a (a + T))
The isomorphism AddCircle T ≃ Ico a (a + T) whose inverse is the natural quotient map,
as an equivalence of measurable spaces.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Equivproof · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Factstatement and proof · cited by 2,726
- Set.Icostatement and proof · cited by 799
- AddSubgroup.zmultiplesstatement · cited by 493
- MeasurableEquivstatement · cited by 269
- AddCirclestatement and proof · cited by 189
- AddCircle.equivIcoproof · cited by 11
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