toAppend1DropLast — Mathlib

English

There is a canonical arrow from α to the pair (drop α ::: last α) that splits α into its prefix and last element.

Русский

Существует каноническая стрела от α к паре (drop α ::: last α), разрушающая α на префикс и последний элемент.

LaTeX

$$$\mathrm{toAppend1DropLast} : \alpha \Rightarrow (\mathrm{drop}\alpha \; ::: \; \mathrm{last}\alpha)$$$

Lean4

/-- decompose a vector into its prefix appended with its last element -/
def toAppend1DropLast {α : TypeVec (n + 1)} : α ⟹ (drop α ::: last α) :=
  Arrow.mpr (append1_drop_last _)

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