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Theorems · Theorem · order theory

isLeast_Ici

∀ {α : Type u_1} [inst : Preorder α] {a : α}, IsLeast (Set.Ici a) a
Defined in
Mathlib.Order.Bounds.Basic
Cited by
7 results in Mathlib
Foundations
Depth 6 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.

ScottContinuousOn.monotone · cited by 5ScottContinuousOn.monotonecsInf_Ici · cited by 5csInf_IciisGLB_Ici · cited by 3isGLB_IciMonotoneOn.Iic_union_Ici · cited by 2MonotoneOn.Iic_union_IciStrictMonoOn.Iic_union_Ici · cited by 2StrictMonoOn.Iic_union_IciContinuousMultilinearMap.isLeast_opNNNorm · cited by 1ContinuousMultilinearMap.…ContinuousLinearMap.isLeast_opNNNorm · cited by 0ContinuousLinearMap.isLea…Preorder · cited by 7952PreorderSet.Ici · cited by 1070Set.IciIsLeast · cited by 122IsLeastSet.self_mem_Ici · cited by 30Set.self_mem_IciisLeast_IciCITED BYCITES

Cites4

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

Cited by7

Results whose statement or proof uses this declaration.