Theorems · Theorem · order theory
Set.biUnion_sdiff_biUnion_subset
∀ {α : Type u_1} {β : Type u_2} (t : α → Set β) (s₁ s₂ : Set α), (⋃ x ∈ s₁, t x) \ ⋃ x ∈ s₂, t x ⊆ ⋃ x ∈ s₁ \ s₂, t x- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.iUnionstatement and proof · cited by 2,483
- Set.subset_union_rightproof · cited by 123
- Set.union_sdiff_selfproof · cited by 28
- Set.biUnion_subset_biUnion_leftproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- Set.biUnion_sdiff_biUnion_eqproof · cited by 2
- Set.biUnion_diff_biUnion_subsetproof · cited by 0