Mathlib Map

Theorems · Theorem · general topology

Filter.singleton_mem_pure

∀ {α : Type u_1} {a : α}, {a} ∈ pure a
Defined in
Mathlib.Order.Filter.Map
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext
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Around this declaration

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

Filter.pure_seq_eq_map · cited by 1Filter.pure_seq_eq_mapFilter.seq_pure · cited by 1Filter.seq_pureSet · cited by 53352SetFilter · cited by 8121FilterSet.mem_singleton · cited by 183Set.mem_singletonFilter.singleton_mem_pureCITED BYCITES

Cites3

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Cited by2

Results whose statement or proof uses this declaration.