Theorems · Theorem · order theory
Order.Ideal.principal_top
∀ {P : Type u_1} [inst : Preorder P] [inst_1 : OrderTop P], Order.Ideal.principal ⊤ = ⊤- Defined in
- Mathlib.Order.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Preorderstatement and proof · cited by 7,952
- OrderTopstatement and proof · cited by 493
- Order.Idealstatement · cited by 102
- Order.Ideal.principalstatement and proof · cited by 12
- Order.Ideal.toLowerSet_injectiveproof · cited by 1
- LowerSet.Iic_topproof · cited by 1
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