Theorems · Theorem · order theory
Set.image_sInter_subset
∀ {α : Type u_1} {β : Type u_2} (S : Set (Set α)) (f : α → β), f '' ⋂₀ S ⊆ ⋂ s ∈ S, f '' s- Defined in
- Mathlib.Data.Set.Lattice.Image
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 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
- Set.imagestatement and proof · cited by 5,609
- Set.iInterstatement and proof · cited by 1,084
- Set.sInterstatement · cited by 225
- Set.sInter_eq_biInterproof · cited by 23
- Set.image_iInter₂_subsetproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Set.smul_set_sInter_subsetproof · cited by 1
- Set.vadd_set_sInter_subsetproof · cited by 0