Theorems · Theorem · combinatorics
Finset.image_mono
∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] (f : α → β), Monotone (Finset.image f)- Defined in
- Mathlib.Data.Finset.Image
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 76 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.
Cites4
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
- Monotonestatement · cited by 1,397
- Finset.imagestatement · cited by 910
- Finset.image_subset_imageproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- Finset.image_inter_subsetproof · cited by 4
- Finset.subsetSum_monoproof · cited by 2
- Finset.exists_equiv_extend_of_card_eqproof · cited by 1
- Filter.tendsto_finset_image_atTop_atTopproof · cited by 0