Theorems · Theorem · general topology
TopologicalSpace.Closeds.singleton_prod_singleton
∀ {α : Type u_2} {β : Type u_3} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : T1Space α]
[inst_3 : T1Space β] (x : α) (y : β), {x} ×ˢ {y} = {(x, y)}- Defined in
- Mathlib.Topology.Sets.Closeds
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- SProd.sprodstatement · cited by 1,750
- T1Spacestatement and proof · cited by 275
- TopologicalSpace.Closedsstatement · cited by 168
- Set.singleton_prod_singletonproof · cited by 9
- TopologicalSpace.Closeds.extproof · cited by 6
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