Theorems · Theorem · logic and foundations
Ordinal.nfp_add_zero
∀ (a : Ordinal.{u_1}), Ordinal.nfp (fun x => a + x) 0 = a * Ordinal.omega0- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- iSupproof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.nfpstatement · cited by 41
- add_left_iterateproof · cited by 10
- Ordinal.nsmul_eq_mulproof · cited by 2
- Ordinal.iSup_mul_natCastproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.add_eq_right_iff_mul_omega0_leproof · cited by 2
- Ordinal.deriv_add_eq_mul_omega0_addproof · cited by 0
- Ordinal.nfp_add_eq_mul_omega0proof · cited by 0