Theorems · Theorem · combinatorics
Finset.image_subset_image
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] {f : α → β} {s₁ s₂ : Finset α},
s₁ ⊆ s₂ → Finset.image f s₁ ⊆ Finset.image f s₂- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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.
- Finsetstatement and proof · cited by 13,712
- Finset.imagestatement · cited by 910
- Multiset.map_subset_mapproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- Finset.image_monoproof · cited by 4
- Finset.disjSups_subsetproof · cited by 2
- Finset.image_iterate_stabilises_lt_cardproof · cited by 1
- Finset.card_le_of_interleavedproof · cited by 1
- Finset.vadd_finset_subset_vadd_finsetproof · cited by 0
- Finset.neg_subset_negproof · cited by 0
- Finset.inv_subset_invproof · cited by 0
- Finset.smul_finset_subset_smul_finsetproof · cited by 0