Mathlib Map

Theorems · Theorem · logic and foundations

ZFSet.IsOrdinal.mem_or_subset

∀ {x y : ZFSet.{u}}, x.IsOrdinal → y.IsOrdinal → x ∈ y ∨ y ⊆ x
Defined in
Mathlib.SetTheory.ZFC.Ordinal
Cited by
2 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ZFSet.IsOrdinal.mem_trichotomous · cited by 1IsOrdinal.mem_trichotomousZFSet.IsOrdinal.subset_total · cited by 0IsOrdinal.subset_totalZFSet · cited by 259ZFSetZFSet.IsOrdinal · cited by 34ZFSet.IsOrdinalZFSet.IsOrdinal.notMem_iff_subset · cited by 3IsOrdinal.notMem_iff_subs…IsOrdinal.mem_or_subsetCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.