Theorems · Theorem · order theory
RelHomClass.directedOn
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} {F : Type u_3} [inst : FunLike F α β]
[RelHomClass F r s] {f : F} {t : Set α}, DirectedOn r t → DirectedOn s (⇑f '' t)- Defined in
- Mathlib.Order.RelIso.Set
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
- Assumes
- FunLikeRelHomClass
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.imagestatement · cited by 5,609
- FunLikestatement and proof · cited by 2,560
- DirectedOnstatement and proof · cited by 271
- RelHomClassstatement and proof · cited by 13
- DirectedOn.mono_compproof · cited by 10
- RelHomClass.map_relproof · cited by 10
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