Theorems · Theorem · measure theory
MeasureTheory.IsSetSemiring.sdiff_mem_supClosure
∀ {α : Type u_1} {C : Set (Set α)} {s t : Set α}, MeasureTheory.IsSetSemiring C → s ∈ C → t ∈ C → s \ t ∈ supClosure C- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- ClosureOperatorstatement · cited by 371
- MeasureTheory.IsSetSemiringstatement and proof · cited by 78
- supClosurestatement · cited by 33
- MeasureTheory.IsSetSemiring.exists_finpartition_sdiffproof · cited by 8
- MeasureTheory.IsSetSemiring.mem_supClosure_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.IsSetSemiring.isSetRing_supClosureproof · cited by 3
- MeasureTheory.IsSetSemiring.diff_mem_supClosureproof · cited by 0