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Theorems · Theorem · order theory

Set.isAtom_singleton

∀ {α : Type u_2} (x : α), IsAtom {x}
Defined in
Mathlib.Order.Atoms
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Set.isAtom_iff · cited by 2Set.isAtom_iffSet · cited by 53352SetIsAtom · cited by 130IsAtomSet.singleton_ne_empty · cited by 8Set.singleton_ne_emptySet.ssubset_singleton_iff · cited by 2Set.ssubset_singleton_iffSet.isAtom_singletonCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.