Theorems · Definition · order theory
Set.IciExtend
{α : Type u_1} → {β : Type u_2} → [inst : LinearOrder α] → {a : α} → (↑(Set.Ici a) → β) → α → βExtend a function [a, ∞) → β to a map α → β.
- Defined in
- Mathlib.Order.Interval.Set.ProjIcc
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemstatement and proof · cited by 7,166
- Set.Icistatement and proof · cited by 1,070
- Set.projIciproof · cited by 13
Cited by9
Results whose statement or proof uses this declaration.
- Set.IciExtend_of_lestatement · cited by 1
- Set.IciExtend_applystatement · cited by 0
- Set.IciExtend_coestatement · cited by 0
- Set.IciExtend_of_memstatement · cited by 0
- Set.IciExtend_selfstatement · cited by 0
- Set.range_IciExtendstatement · cited by 0
- Set.OrdConnected.IciExtendstatement and proof · cited by 0
- StrictMono.strictMonoOn_IciExtendstatement · cited by 0
- Monotone.IciExtendstatement · cited by 0