Theorems · Theorem · general topology
completeSpace_prod_of_nonempty
∀ {α : Type u} {β : Type v} [uniformSpace : UniformSpace α] [inst : UniformSpace β] [Nonempty α] [Nonempty β],
CompleteSpace (α × β) ↔ CompleteSpace α ∧ CompleteSpace β- Defined in
- Mathlib.Topology.UniformSpace.Cauchy
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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- CompleteSpacestatement and proof · cited by 2,532
- UniformSpacestatement and proof · cited by 2,040
- CompleteSpace.fst_of_prodproof · cited by 2
- CompleteSpace.snd_of_prodproof · cited by 1
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