Theorems · Theorem · order theory
Order.Ideal.principal_toLowerSet
∀ {P : Type u_1} [inst : Preorder P] (p : P), (Order.Ideal.principal p).toLowerSet = LowerSet.Iic p- Defined in
- Mathlib.Order.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- Preorder
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Cites5
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
- LowerSetstatement · cited by 230
- LowerSet.Iicstatement · cited by 37
- Order.Ideal.principalstatement and proof · cited by 12
- Order.Ideal.toLowerSetstatement and proof · cited by 9
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