Theorems · Theorem · general topology

TopologicalSpace.NonemptyCompacts.toCloseds_prod

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : T2Space α]
  [inst_3 : T2Space β] (K : TopologicalSpace.NonemptyCompacts α) (L : TopologicalSpace.NonemptyCompacts β),
  (K ×ˢ L).toCloseds = K.toCloseds ×ˢ L.toCloseds

Defined in: Mathlib.Topology.Sets.Compacts
Cited by: 0 results in Mathlib
Foundations: Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace TopologicalSpace T2Space T2Space

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TopologicalSpacestatement and proof · cited by 24,529
SProd.sprodstatement and proof · cited by 1,750
T2Spacestatement and proof · cited by 1,351
TopologicalSpace.Closedsstatement · cited by 168
TopologicalSpace.NonemptyCompactsstatement and proof · cited by 137
TopologicalSpace.NonemptyCompacts.toClosedsstatement and proof · cited by 15

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