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Theorems · Theorem · order theory

Set.Subsingleton.singleton_inter

∀ {α : Type u} {a : α} {s : Set α}, ({a} ∩ s).Subsingleton
Defined in
Mathlib.Data.Set.Subsingleton
Cited by
2 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
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Around this declaration

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

isClosed_singleton_inter · cited by 0isClosed_singleton_interIsRetrocompact.singleton · cited by 0IsRetrocompact.singletonSet · cited by 53352SetSet.inter_subset_left · cited by 360Set.inter_subset_leftSet.Subsingleton · cited by 276Set.SubsingletonSet.subsingleton_of_subset_singleton · cited by 3Set.subsingleton_of_subse…Subsingleton.singleton_interCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.