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Theorems · Theorem · order theory

Set.Ioo_subset_uIoo

∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, Set.Ioo a b ⊆ Set.uIoo a b
Defined in
Mathlib.Order.Interval.Set.UnorderedInterval
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
LinearOrder
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Around this declaration

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

Set.mem_uIoo_of_lt · cited by 0Set.mem_uIoo_of_ltSet · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.Ioo · cited by 1214Set.Iooinf_le_left · cited by 286inf_le_leftle_sup_right · cited by 242le_sup_rightSet.uIoo · cited by 68Set.uIooSet.Ioo_subset_Ioo · cited by 19Set.Ioo_subset_IooSet.Ioo_subset_uIooCITED BYCITES

Cites7

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.