Theorems · Theorem · measure theory
MeasureTheory.Measure.haar.addPrehaar_sup_le
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalAddGroup G]
{K₀ : TopologicalSpace.PositiveCompacts G} {U : Set G} (K₁ K₂ : TopologicalSpace.Compacts G),
(interior U).Nonempty →
MeasureTheory.Measure.haar.addPrehaar (↑K₀) U (K₁ ⊔ K₂) ≤
MeasureTheory.Measure.haar.addPrehaar (↑K₀) U K₁ + MeasureTheory.Measure.haar.addPrehaar (↑K₀) U K₂- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement and proof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- Set.Nonemptystatement and proof · cited by 2,627
- Nat.cast_zeroproof · cited by 1,870
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- interiorstatement and proof · cited by 714
- Nat.cast_addproof · cited by 586
- TopologicalSpace.Compactsstatement and proof · cited by 386
- Nat.cast_leproof · cited by 159
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.haar.addCHaar_sup_leproof · cited by 0