ZFSet.isOrdinal_iff_trichotomous

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

An ordinal is a transitive set, trichotomous under membership.

Defined in: Mathlib.SetTheory.ZFC.Ordinal
Cited by: 1 results in Mathlib
Foundations: Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

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