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Theorems · Theorem · order theory

isGreatest_Iic

∀ {α : Type u_1} [inst : Preorder α] {a : α}, IsGreatest (Set.Iic a) a
Defined in
Mathlib.Order.Bounds.Basic
Cited by
4 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext
Assumes
Preorder
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Around this declaration

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

csSup_Iic · cited by 5csSup_IicisLUB_Iic · cited by 3isLUB_IicStrictMonoOn.Iic_union_Ici · cited by 2StrictMonoOn.Iic_union_IciMonotoneOn.Iic_union_Ici · cited by 2MonotoneOn.Iic_union_IciPreorder · cited by 7952PreorderSet.Iic · cited by 1111Set.IicIsGreatest · cited by 112IsGreatestSet.self_mem_Iic · cited by 26Set.self_mem_IicisGreatest_IicCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.