Theorems · Theorem · order theory
Set.sdiff_iInter
∀ {β : Type u_2} {ι : Sort u_5} (s : Set β) (t : ι → Set β), s \ ⋂ i, t i = ⋃ i, s \ t i- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 4 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.
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
- Compl.complproof · cited by 2,925
- Set.iUnionstatement and proof · cited by 2,483
- Set.iInterstatement · cited by 1,084
- Set.inter_iUnionproof · cited by 59
- Set.compl_iInterproof · cited by 31
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_setIntegral_of_antitoneproof · cited by 1
- blimsup_cthickening_ae_le_of_eventually_mul_le_auxproof · cited by 1
- Directed.measure_iInterproof · cited by 1
- Set.diff_iInterproof · cited by 0