Theorems · Theorem · logic and foundations
Ordinal.derivFamily_zero
∀ {ι : Type u_1} (f : ι → Ordinal.{u_2} → Ordinal.{u_2}), Ordinal.derivFamily f 0 = Ordinal.nfpFamily f 0- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- iSupproof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Set.Iioproof · cited by 1,166
- Order.succproof · cited by 633
- Order.IsSuccLimitproof · cited by 255
- Ordinal.nfpFamilystatement and proof · cited by 24
- Ordinal.derivFamilystatement · cited by 18
- Ordinal.limitRecOn_zeroproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Ordinal.deriv_zero_rightproof · cited by 6
- Ordinal.derivFamily_fpproof · cited by 3
- Cardinal.derivFamily_lt_ord_liftproof · cited by 2
- Ordinal.le_iff_derivFamilyproof · cited by 2
- Ordinal.isNormal_veblenWith_zeroproof · cited by 1