Theorems · Theorem · measure theory
MeasureTheory.ae_eq_bot
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}, MeasureTheory.ae μ = ⊥ ↔ μ = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Filterstatement · cited by 8,121
- Bot.botstatement · cited by 4,720
- MeasureTheory.aestatement · cited by 2,352
- Set.compl_emptyproof · cited by 33
- MeasureTheory.Measure.measure_univ_eq_zeroproof · cited by 26
- Filter.empty_mem_iff_botproof · cited by 18
- MeasureTheory.mem_ae_iffproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_zeroproof · cited by 32
- MeasureTheory.ae_neBotproof · cited by 3
- MeasureTheory.ae_restrict_eq_botproof · cited by 1
- MeasureTheory.Measure.mutuallySingular_compProd_left_iffproof · cited by 0