Theorems · Theorem · logic and foundations
Ordinal.natCast_add_of_omega0_le
∀ {o : Ordinal.{u_4}}, Ordinal.omega0 ≤ o → ∀ (n : ℕ), ↑n + o = o- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 1 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.
Cites5
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
- add_assocproof · cited by 746
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.add_sub_cancel_of_leproof · cited by 14
- Ordinal.natCast_add_omega0proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.one_add_of_omega0_leproof · cited by 2