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Theorems · Theorem · order theory

Finset.Ico_diff_Ioo_self

Deprecated since 2026-06-03Use Finset.Ico_sdiff_Ioo_self instead.

∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] {a b : α} [inst_2 : DecidableEq α],
  a < b → Finset.Ico a b \ Finset.Ioo a b = {a}

Alias of Finset.Ico_sdiff_Ioo_self.

Defined in
Mathlib.Order.Interval.Finset.Basic
Cited by
0 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderLocallyFiniteOrderDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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Finset · cited by 13712FinsetPartialOrder · cited by 6410PartialOrderLocallyFiniteOrder · cited by 658LocallyFiniteOrderFinset.Ico · cited by 450Finset.IcoFinset.Ioo · cited by 185Finset.IooFinset.Ico_sdiff_Ioo_self · cited by 1Finset.Ico_sdiff_Ioo_selfFinset.Ico_diff_Ioo_selfCITED BYCITES

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