Theorems · Theorem · logic and foundations
Ordinal.apply_omega0_of_isNormal
∀ {f : Ordinal.{u} → Ordinal.{v}}, Order.IsNormal f → ⨆ n, f ↑n = f Ordinal.omega0- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement and proof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Ordinal.omega0statement · cited by 197
- Order.IsNormalstatement and proof · cited by 118
- Ordinal.bddAbove_of_smallproof · cited by 19
- Order.IsNormal.map_iSupproof · cited by 8
- Ordinal.iSup_natCastproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.preOmega_omega0proof · cited by 4
- Ordinal.iSup_pow_natCastproof · cited by 1