Theorems · Theorem · order theory
Set.equitableOn_iff_exists_le_le_add_one
∀ {α : Type u_1} {s : Set α} {f : α → ℕ}, s.EquitableOn f ↔ ∃ b, ∀ a ∈ s, b ≤ f a ∧ f a ≤ b + 1- Defined in
- Mathlib.Data.Set.Equitable
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Nonemptyproof · cited by 2,627
- le_reflproof · cited by 2,061
- add_le_addproof · cited by 666
- le_imp_le_of_le_of_leproof · cited by 576
- LE.le.antisymmproof · cited by 507
- Set.eq_empty_or_nonemptyproof · cited by 248
- Set.EquitableOnstatement and proof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- Finset.equitableOn_iff_le_le_add_oneproof · cited by 2
- Set.equitableOn_iff_exists_image_subset_iccproof · cited by 0