Theorems · Theorem · logic and foundations
Ordinal.deriv_zero_right
∀ (f : Ordinal.{u_1} → Ordinal.{u_1}), Ordinal.deriv f 0 = Ordinal.nfp f 0- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 43 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
- Ordinal.nfpstatement · cited by 41
- Ordinal.derivstatement · cited by 26
- Ordinal.derivFamily_zeroproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- Ordinal.epsilon_zero_eq_nfpproof · cited by 4
- Ordinal.gamma_zero_eq_nfpproof · cited by 4
- Ordinal.add_eq_right_iff_mul_omega0_leproof · cited by 2
- Ordinal.deriv_eq_id_of_nfp_eq_idproof · cited by 1
- Ordinal.deriv_add_eq_mul_omega0_addproof · cited by 0
- Ordinal.deriv_mul_eq_opow_omega0_mulproof · cited by 0