Theorems · Theorem · logic and foundations
Ordinal.iSup_pow_natCast
∀ {o : Ordinal.{u_1}}, 0 < o → ⨆ n, o ^ n = o ^ Ordinal.omega0- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- 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.
Cites11
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
- one_powproof · cited by 521
- Ordinal.omega0statement and proof · cited by 197
- LE.le.lt_or_eqproof · cited by 48
- ciSup_constproof · cited by 43
- Ordinal.isNormal_opowproof · cited by 37
- Order.one_le_iff_posproof · cited by 27
- Ordinal.opow_natCastproof · cited by 11
- Ordinal.one_opowproof · cited by 9
- Ordinal.apply_omega0_of_isNormalproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.nfp_mul_oneproof · cited by 2