Theorems · Theorem · order theory
Order.Ideal.top_toLowerSet
∀ {P : Type u_1} [inst : LE P] [inst_1 : IsDirectedOrder P] [inst_2 : Nonempty P], ⊤.toLowerSet = ⊤- Defined in
- Mathlib.Order.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- LEIsDirectedOrderNonempty
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- IsDirectedOrderstatement and proof · cited by 316
- LowerSetstatement · cited by 230
- Order.Idealstatement · cited by 102
- Order.Ideal.toLowerSetstatement · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
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