Theorems · Theorem · measure theory
MeasureTheory.IsSetRing.isSetSemiring
∀ {α : Type u_1} {C : Set (Set α)}, MeasureTheory.IsSetRing C → MeasureTheory.IsSetSemiring C- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Set.sUnionproof · cited by 392
- Set.PairwiseDisjointproof · cited by 275
- Finset.coe_singletonproof · cited by 145
- MeasureTheory.IsSetSemiringstatement · cited by 78
- MeasureTheory.IsSetRingstatement and proof · cited by 32
- Set.sUnion_singletonproof · cited by 17
- MeasureTheory.IsSetRing.sdiff_memproof · cited by 9
- MeasureTheory.IsSetRing.inter_memproof · cited by 5
- MeasureTheory.IsSetRing.empty_memproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.isSetSemiring_measurableCylindersproof · cited by 5
- MeasureTheory.exists_measure_symmDiff_lt_of_generateFrom_isSetRingproof · cited by 2
- MeasureTheory.addContent_iUnion_eq_sum_of_tendsto_zeroproof · cited by 2
- MeasureTheory.le_addContent_sdiffproof · cited by 2
- MeasureTheory.addContent_union_leproof · cited by 1
- MeasureTheory.addContent_le_sum_of_subset_sUnionproof · cited by 1