Theorems · Theorem · order theory
countableSupClosure_prod
∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] (s : Set α) (t : Set β),
countableSupClosure (s ×ˢ t) = countableSupClosure s ×ˢ countableSupClosure t- Defined in
- Mathlib.Order.CountableSupClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- IsLUBproof · cited by 280
- Set.prod_monoproof · cited by 52
- countableSupClosurestatement and proof · cited by 21
- subset_countableSupClosureproof · cited by 7
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