Theorems · Theorem · logic and foundations
Ordinal.iSup_mul_natCast
∀ (o : Ordinal.{u_1}), ⨆ n, o * ↑n = o * Ordinal.omega0- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 1 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.
Cites5
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
- Ordinal.iSup_natCastproof · cited by 4
- Ordinal.mul_iSupproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.nfp_add_zeroproof · cited by 3