Theorems · Theorem · order theory
Set.Iic_infinite
∀ {α : Type u_1} [inst : Preorder α] [NoMinOrder α] (a : α), (Set.Iic a).Infinite- Defined in
- Mathlib.Order.Interval.Set.Infinite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderNoMinOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Set.Iicstatement · cited by 1,111
- Set.Infinitestatement · cited by 263
- NoMinOrderstatement and proof · cited by 247
- Set.infinite_coe_iffproof · cited by 16
Cited by0
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