Theorems · Theorem · combinatorics
Finset.subset_map_iff
∀ {α : Type u} {β : Type v} {f : α ↪ β} {s : Finset β} {t : Finset α}, s ⊆ Finset.map f t ↔ ∃ u ⊆ t, s = Finset.map f u- Defined in
- Mathlib.Data.Finset.Preimage
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 81 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.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Function.Embeddingstatement and proof · cited by 988
- Finset.imageproof · cited by 910
- Finset.mapstatement · cited by 747
- Finset.map_eq_imageproof · cited by 50
Cited by2
Results whose statement or proof uses this declaration.
- addRothNumber_map_add_leftproof · cited by 3
- mulRothNumber_map_mul_leftproof · cited by 1