Theorems · Theorem · order theory
Set.strictMonoOn_projIci
∀ {α : Type u_1} [inst : LinearOrder α] {a : α}, StrictMonoOn (Set.projIci a) (Set.Ici a)- Defined in
- Mathlib.Order.Interval.Set.ProjIcc
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemstatement · cited by 7,166
- Set.Icistatement and proof · cited by 1,070
- StrictMonoOnstatement · cited by 194
- Set.projIcistatement · cited by 13
- Set.projIci_of_memproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- StrictMono.strictMonoOn_IciExtendproof · cited by 0