Mathlib Map

Theorems · Theorem · order theory

Finset.Iio_subset_Iic_self

∀ {α : Type u_2} [inst : Preorder α] [inst_1 : LocallyFiniteOrderBot α] {a : α}, Finset.Iio a ⊆ Finset.Iic a
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
PreorderLocallyFiniteOrderBot
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

disjointed_partialSups · cited by 1disjointed_partialSupsFinset · cited by 13712FinsetPreorder · cited by 7952PreorderLocallyFiniteOrderBot · cited by 286LocallyFiniteOrderBotFinset.Iic · cited by 280Finset.IicFinset.Iio · cited by 147Finset.IioFinset.coe_Iic · cited by 36Finset.coe_IicFinset.coe_Iio · cited by 34Finset.coe_IioSet.Iio_subset_Iic_self · cited by 21Set.Iio_subset_Iic_selfFinset.Iio_subset_Iic_selfCITED BYCITES

Cites8

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

Cited by1

Results whose statement or proof uses this declaration.