Theorems · Theorem · measure theory
MeasureTheory.Measure.haar.prehaar_empty
∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] (K₀ : TopologicalSpace.PositiveCompacts G) {U : Set G},
MeasureTheory.Measure.haar.prehaar (↑K₀) U ⊥ = 0- Defined in
- Mathlib.MeasureTheory.Measure.Haar.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Groupstatement and proof · cited by 6,238
- Bot.botstatement and proof · cited by 4,720
- Nat.cast_zeroproof · cited by 1,870
- TopologicalSpace.Compactsstatement · cited by 386
- zero_divproof · cited by 222
- TopologicalSpace.PositiveCompactsstatement and proof · cited by 112
- MeasureTheory.Measure.haar.indexproof · cited by 20
- MeasureTheory.Measure.haar.prehaarstatement · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.haar.chaar_emptyproof · cited by 0