Theorems · Theorem · measure theory
AddCircle.closedBall_ae_eq_ball
∀ {T : ℝ} [hT : Fact (0 < T)] {x : AddCircle T} {ε : ℝ}, Metric.closedBall x ε =ᵐ[MeasureTheory.volume] Metric.ball x ε- Defined in
- Mathlib.MeasureTheory.Group.AddCircle
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 249 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites46
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealproof · cited by 9,879
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- Factstatement and proof · cited by 2,726
- MeasureTheory.aestatement and proof · cited by 2,352
- nhdsWithinproof · cited by 1,912
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Nat.cast_zeroproof · cited by 1,870
Cited by2
Results whose statement or proof uses this declaration.
- AddCircle.ae_empty_or_univ_of_forall_vadd_ae_eq_selfproof · cited by 2
- AddCircle.isAddFundamentalDomain_of_ae_ballproof · cited by 1