Theorems · Theorem · order theory
UpperSet.top_prod
∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] (t : UpperSet β), ⊤ ×ˢ t = ⊤- Defined in
- Mathlib.Order.UpperLower.Prod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, 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.
- Top.topstatement · cited by 9,680
- Preorderstatement and proof · cited by 7,952
- SProd.sprodstatement · cited by 1,750
- UpperSetstatement and proof · cited by 245
- UpperSet.extproof · cited by 29
- Set.empty_prodproof · cited by 14
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