Theorems · Theorem · logic and foundations
Ordinal.deriv_mul_eq_opow_omega0_mul
∀ {a : Ordinal.{u}}, 0 < a → ∀ (b : Ordinal.{u}), Ordinal.deriv (fun x => a * x) b = a ^ Ordinal.omega0 * b- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulZeroClass.mul_zeroproof · cited by 2,091
- Ordinalstatement and proof · cited by 1,688
- Order.succproof · cited by 633
- zero_lt_oneproof · cited by 598
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.nfpproof · cited by 41
- Order.one_le_iff_posproof · cited by 27
- Ordinal.derivstatement and proof · cited by 26
- Ordinal.opow_posproof · cited by 22
- Ordinal.isNormal_mul_rightproof · cited by 14
- Ordinal.deriv_zero_rightproof · cited by 6
- Ordinal.isNormal_derivproof · cited by 5
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