ZFSet.isOrdinal_iff_isWellOrder

∀ {x : ZFSet.{u}}, x.IsOrdinal ↔ x.IsTransitive ∧ IsWellOrder (↥x) (Subrel (fun x1 x2 => x1 ∈ x2) fun x_1 => x_1 ∈ x)

An ordinal is a transitive set, well-ordered under membership.

Defined in: Mathlib.SetTheory.ZFC.Ordinal
Cited by: 0 results in Mathlib
Foundations: Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

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