Theorems · Theorem · measure theory
MeasureTheory.IsSetRing.finsetSup_mem
∀ {α : Type u_1} {C : Set (Set α)},
MeasureTheory.IsSetRing C → ∀ {ι : Type u_2} {s : ι → Set α} {t : Finset ι}, (∀ i ∈ t, s i ∈ C) → t.sup s ∈ C- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Finsetstatement and proof · cited by 13,712
- Finset.supstatement · cited by 530
- MeasureTheory.IsSetRingstatement and proof · cited by 32
- Finset.sup_set_eq_biUnionproof · cited by 15
- MeasureTheory.IsSetRing.biUnion_memproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.IsSetRing.partialSups_memproof · cited by 1