Theorems · Theorem · logic and foundations
Ordinal.principal_mul_iff_mul_left_eq
Deprecated since 2026-03-17Use Ordinal.isPrincipal_mul_iff_mul_left_eq instead.
∀ {o : Ordinal.{u}}, Ordinal.IsPrincipal (fun x1 x2 => x1 * x2) o ↔ ∀ (a : Ordinal.{u}), 0 < a → a < o → a * o = oAlias of Ordinal.isPrincipal_mul_iff_mul_left_eq.
- Defined in
- Mathlib.SetTheory.Ordinal.Principal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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- Ordinalstatement · cited by 1,688
- Ordinal.IsPrincipalstatement · cited by 92
- Ordinal.isPrincipal_mul_iff_mul_left_eqproof · cited by 3
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