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Theorems · Theorem · order theory

Set.range_projIci

∀ {α : Type u_1} [inst : LinearOrder α] {a : α}, Set.range (Set.projIci a) = Set.univ
Defined in
Mathlib.Order.Interval.Set.ProjIcc
Cited by
1 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
LinearOrder
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Around this declaration

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

Set.range_IciExtend · cited by 0Set.range_IciExtendSet · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.Elem · cited by 7166Set.ElemSet.range · cited by 4705Set.rangeSet.univ · cited by 3945Set.univSet.Ici · cited by 1070Set.IciFunction.Surjective.range_eq · cited by 70Surjective.range_eqSet.projIci · cited by 13Set.projIciSet.projIci_surjective · cited by 1Set.projIci_surjectiveSet.range_projIciCITED BYCITES

Cites9

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.