Theorems · Theorem · order theory
LowerSet.bot_prod
∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] (t : LowerSet 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.
- Preorderstatement and proof · cited by 7,952
- Bot.botstatement · cited by 4,720
- SProd.sprodstatement · cited by 1,750
- LowerSetstatement and proof · cited by 230
- LowerSet.extproof · cited by 29
- Set.empty_prodproof · cited by 14
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