Theorems · Theorem · combinatorics
Finset.map_subset_iff_subset_preimage
∀ {α : Type u} {β : Type v} {f : α ↪ β} {s : Finset α} {t : Finset β}, Finset.map f s ⊆ t ↔ s ⊆ t.preimage ⇑f ⋯- Defined in
- Mathlib.Data.Finset.Preimage
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.preimagestatement · cited by 4,946
- Function.Embeddingstatement and proof · cited by 988
- Finset.mapstatement · cited by 747
- Function.Injective.injOnstatement and proof · cited by 280
- Function.Embedding.injectivestatement and proof · cited by 111
- Finset.preimagestatement and proof · cited by 108
- Finset.map_eq_imageproof · cited by 50
- Finset.image_subset_iff_subset_preimageproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- SummationFilter.comap_unconditionalproof · cited by 4
- SimpleGraph.TripartiteFromTriangles.farFromTriangleFreeproof · cited by 0