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Theorems · Theorem · order theory

Set.subsingleton_of_subset_singleton

∀ {α : Type u} {a : α} {s : Set α}, s ⊆ {a} → s.Subsingleton
Defined in
Mathlib.Data.Set.Subsingleton
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
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Around this declaration

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

Set.Subsingleton.singleton_inter · cited by 2Subsingleton.singleton_in…Finpartition.parts_top_subsingleton · cited by 1Finpartition.parts_top_su…Set.Subsingleton.inter_singleton · cited by 1Subsingleton.inter_single…Set · cited by 53352SetSet.Subsingleton · cited by 276Set.SubsingletonSet.subsingleton_singleton · cited by 36Set.subsingleton_singletonSet.Subsingleton.anti · cited by 13Subsingleton.antiSet.subsingleton_of_subset_si…CITED BYCITES

Cites4

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Cited by3

Results whose statement or proof uses this declaration.