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Theorems · Theorem · logic and foundations

ZFSet.IsOrdinal.mem_trichotomous

∀ {x y : ZFSet.{u}}, x.IsOrdinal → y.IsOrdinal → x ∈ y ∨ x = y ∨ y ∈ x
Defined in
Mathlib.SetTheory.ZFC.Ordinal
Cited by
1 results in Mathlib
Foundations
Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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ZFSet.IsOrdinal.trichotomous · cited by 2IsOrdinal.trichotomousZFSet · cited by 259ZFSetZFSet.IsOrdinal · cited by 34ZFSet.IsOrdinalZFSet.IsOrdinal.subset_iff_eq_or_mem · cited by 2IsOrdinal.subset_iff_eq_o…ZFSet.IsOrdinal.mem_or_subset · cited by 2IsOrdinal.mem_or_subsetIsOrdinal.mem_trichotomousCITED BYCITES

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Cited by1

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