Theorems · Theorem · order theory
LowerSet.Iic_top
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : OrderTop α], LowerSet.Iic ⊤ = ⊤- Defined in
- Mathlib.Order.UpperLower.Principal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- SetLike.coe_injectiveproof · cited by 374
- LowerSetstatement · cited by 230
- LowerSet.Iicstatement and proof · cited by 37
- Set.Iic_topproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Order.Ideal.principal_topproof · cited by 0