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Theorems · Theorem · order theory

Finset.Ico_filter_lt

∀ {α : Type u_2} [inst : LinearOrder α] [inst_1 : LocallyFiniteOrder α] (a b c : α),
  {x ∈ Finset.Ico a b | x < c} = Finset.Ico a (min b c)
Defined in
Mathlib.Order.Interval.Finset.Basic
Cited by
1 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderLocallyFiniteOrder
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Around this declaration

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

Multiset.Ico_filter_lt · cited by 0Multiset.Ico_filter_ltFinset · cited by 13712FinsetLinearOrder · cited by 8572LinearOrderFinset.filter · cited by 949Finset.filterLocallyFiniteOrder · cited by 658LocallyFiniteOrderFinset.Ico · cited by 450Finset.IcoFinset.Ico_filter_ltCITED BYCITES

Cites5

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Cited by1

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