Theorems · Theorem · measure theory
MeasureTheory.Measure.haar.prehaar_pos
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G]
(K₀ : TopologicalSpace.PositiveCompacts G) {U : Set G},
(interior U).Nonempty →
∀ {K : Set G} (h1K : IsCompact K),
(interior K).Nonempty → 0 < MeasureTheory.Measure.haar.prehaar (↑K₀) U { carrier := K, isCompact' := h1K }- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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 · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Set.Nonemptystatement and proof · cited by 2,627
- Nat.cast_zeroproof · cited by 1,870
- IsCompactstatement and proof · cited by 1,282
- interiorstatement and proof · cited by 714
- IsTopologicalGroupstatement and proof · cited by 469
- div_posproof · cited by 337
- TopologicalSpace.PositiveCompactsstatement and proof · cited by 112
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