Theorems · Theorem · order theory
Set.iUnion_subset_iUnion_const
∀ {α : Type u_1} {ι : Sort u_5} {ι₂ : Sort u_7} {s : Set α} (h : ι → ι₂), ⋃ x, s ⊆ ⋃ x, s- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 · cited by 2,483
- iSup_const_monoproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- linearIndepOn_id_iUnion_finiteproof · cited by 1