Theorems · Theorem · measure theory
MeasureTheory.IsSetSemiring.isSetRing_supClosure
∀ {α : Type u_1} {C : Set (Set α)}, MeasureTheory.IsSetSemiring C → MeasureTheory.IsSetRing (supClosure C)- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Finset.Nonemptyproof · cited by 1,001
- Finset.supproof · cited by 530
- ClosureOperatorstatement · cited by 371
- Finset.sup'proof · cited by 174
- Finset.coe_insertproof · cited by 124
- Finset.inductionproof · cited by 108
- MeasureTheory.IsSetSemiringstatement and proof · cited by 78
- Finset.sup_emptyproof · cited by 72
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.addContent_le_sum_of_subset_sUnionproof · cited by 1
- MeasureTheory.exists_measure_symmDiff_lt_of_generateFrom_isSetSemiringproof · cited by 1