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Theorems · Theorem · order theory

Finset.Ico_inter_Ico_consecutive

∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] [inst_2 : DecidableEq α] (a b c : α),
  Finset.Ico a b ∩ Finset.Ico b c = ∅
Defined in
Mathlib.Order.Interval.Finset.Basic
Cited by
2 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderLocallyFiniteOrderDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

card_Ico_one_mul · cited by 0card_Ico_one_mulcard_Ico_zero_add · cited by 0card_Ico_zero_addFinset · cited by 13712FinsetPartialOrder · cited by 6410PartialOrderLocallyFiniteOrder · cited by 658LocallyFiniteOrderFinset.Ico · cited by 450Finset.IcoDisjoint.eq_bot · cited by 52Disjoint.eq_botFinset.Ico_disjoint_Ico_consecutive · cited by 4Finset.Ico_disjoint_Ico_c…Finset.Ico_inter_Ico_consecut…CITED BYCITES

Cites6

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Cited by2

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