Theorems · Theorem · logic and foundations
Ordinal.le_iff_deriv
∀ {f : Ordinal.{u} → Ordinal.{u}}, Order.IsNormal f → ∀ {a : Ordinal.{u}}, f a ≤ a ↔ ∃ o, Ordinal.deriv f o = a- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- Order.IsNormalstatement and proof · cited by 118
- Ordinal.derivstatement · cited by 26
- Ordinal.le_iff_derivFamilyproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.mem_range_derivproof · cited by 2