Mathlib Map

Theorems · Theorem · logic and foundations

Ordinal.bounded_singleton

∀ {α : Type u_1} {r : α → α → Prop} [inst : IsWellOrder α r],
  Order.IsSuccLimit (Ordinal.type r) → ∀ (x : α), Set.Bounded r {x}
Defined in
Mathlib.SetTheory.Ordinal.Arithmetic
Cited by
1 results in Mathlib
Foundations
Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
IsWellOrder

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites18

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.