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Theorems · Theorem · order theory

Finset.Icc_subset_Iic_self

∀ {α : Type u_2} {a b : α} [inst : Preorder α] [inst_1 : LocallyFiniteOrderBot α] [inst_2 : LocallyFiniteOrder α],
  Finset.Icc a b ⊆ Finset.Iic b
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
PreorderLocallyFiniteOrderBotLocallyFiniteOrder
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Around this declaration

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

Finset.Ico_subset_Iic_self · cited by 0Finset.Ico_subset_Iic_selfFinset · cited by 13712FinsetPreorder · cited by 7952PreorderLocallyFiniteOrder · cited by 658LocallyFiniteOrderFinset.Icc · cited by 348Finset.IccLocallyFiniteOrderBot · cited by 286LocallyFiniteOrderBotFinset.Iic · cited by 280Finset.IicFinset.coe_Icc · cited by 60Finset.coe_IccFinset.coe_Iic · cited by 36Finset.coe_IicSet.Icc_subset_Iic_self · cited by 10Set.Icc_subset_Iic_selfFinset.Icc_subset_Iic_selfCITED BYCITES

Cites9

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Cited by1

Results whose statement or proof uses this declaration.