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Theorems · Theorem · order theory

IsChain.directed

∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} [Std.Refl r] {f : β → α} {c : Set β},
  IsChain (f ⁻¹'o r) c → Directed r fun x => f ↑x
Defined in
Mathlib.Order.Preorder.Chain
Cited by
4 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Std.Refl

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Cited by4

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