Theorems · Theorem · combinatorics
List.Vector.scanl_head
∀ {α : Type u_1} {n : ℕ} {β : Type u_6} (f : β → α → β) (b : β) (v : List.Vector α n),
(List.Vector.scanl f b v).head = bThe first element of scanl of a vector v : Vector α n,
retrieved via head, is the starting value b : β.
- Defined in
- Mathlib.Data.Vector.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- List.Vectorstatement and proof · cited by 270
- List.Vector.consproof · cited by 90
- List.Vector.toListproof · cited by 79
- List.Vector.nilproof · cited by 68
- List.Vector.headstatement and proof · cited by 39
- List.Vector.tailproof · cited by 37
- List.Vector.head_consproof · cited by 25
- List.Vector.toList_lengthproof · cited by 17
- List.Vector.toList_consproof · cited by 9
- List.Vector.scanlstatement and proof · cited by 7
- List.Vector.cons_head_tailproof · cited by 7
- List.Vector.scanl_consproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- List.Vector.scanl_getproof · cited by 0