Theorems · Theorem · measure theory
MeasureTheory.IsSetRing.empty_mem
∀ {α : Type u_1} {C : Set (Set α)}, MeasureTheory.IsSetRing C → ∅ ∈ C- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- MeasureTheory.IsSetRingstatement and proof · cited by 32
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.IsSetRing.isSetSemiringproof · cited by 6
- MeasureTheory.IsSetRing.biUnion_memproof · cited by 5
- MeasureTheory.exists_measure_symmDiff_lt_of_generateFrom_isSetRingproof · cited by 2