Theorems · Theorem · order theory
Set.WellFoundedOn.mapsTo
∀ {α : Type u_6} {β : Type u_7} {r : α → α → Prop} (f : β → α) {s : Set α} {t : Set β},
Set.MapsTo f t s → s.WellFoundedOn r → t.WellFoundedOn (Function.onFun r f)- Defined in
- Mathlib.Order.WellFoundedSet
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- Setstatement and proof · cited by 53,352
- Set.Elemproof · cited by 7,166
- Set.MapsTostatement and proof · cited by 732
- Function.onFunstatement · cited by 570
- Subtype.propproof · cited by 505
- Set.WellFoundedOnstatement and proof · cited by 53
Cited by7
Results whose statement or proof uses this declaration.
- Valuation.Integers.wellFounded_gt_on_v_iff_discrete_mrangeproof · cited by 1