Theorems · Definition · logic and foundations
Ordinal.deriv
(Ordinal.{u_1} → Ordinal.{u_1}) → Ordinal.{u_1} → Ordinal.{u_1}The derivative of a normal function f is the sequence of fixed points of f.
This is defined as Ordinal.derivFamily applied to a trivial family consisting only of f.
- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 26 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.
Cites2
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
- Ordinal.derivFamilyproof · cited by 18
Cited by27
Results whose statement or proof uses this declaration.
- Ordinal.gammaproof · cited by 27
- Ordinal.deriv_zero_rightstatement · cited by 6
- Ordinal.isNormal_derivstatement · cited by 5
- Ordinal.epsilon_eq_derivstatement and proof · cited by 3
- Ordinal.veblenWith_add_onestatement · cited by 3
- Ordinal.deriv_add_onestatement · cited by 3
- Ordinal.deriv_succstatement · cited by 3
- Ordinal.mem_range_derivstatement and proof · cited by 2
- Ordinal.veblen_add_onestatement · cited by 2
- Ordinal.add_eq_right_iff_mul_omega0_leproof · cited by 2
- Ordinal.deriv_fpstatement · cited by 2
- Ordinal.le_iff_derivstatement · cited by 1