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Theorems · Theorem · order theory

UpperSet.mem_Ioi_iff

∀ {α : Type u_1} [inst : Preorder α] {a b : α}, b ∈ UpperSet.Ioi a ↔ a < b
Defined in
Mathlib.Order.UpperLower.Principal
Cited by
2 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
Preorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FiniteArchimedeanClass.mem_ballAddSubgroup_iff · cited by 1FiniteArchimedeanClass.me…ArchimedeanClass.mem_ballAddSubgroup_iff · cited by 0ArchimedeanClass.mem_ball…Preorder · cited by 7952PreorderUpperSet · cited by 245UpperSetUpperSet.Ioi · cited by 15UpperSet.IoiUpperSet.mem_Ioi_iffCITED BYCITES

Cites3

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Cited by2

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