outsidePart — Mathlib

English

Given nonzero p, the inside part of p+q equals the inside part of p.

Русский

При p ≠ 0 внутри p+q совпадает с insidePart p.

LaTeX

$$$$ p \neq 0 \implies (p+q).insidePart = p.insidePart. $$$$

Lean4

/-- The right part of the Dyck word decomposition,
outside the `U, D` pair that `firstReturn` refers to. `outsidePart 0 = 0`. -/
def outsidePart : DyckWord :=
  if h : p = 0 then 0 else p.drop (p.firstReturn + 1) (count_take_firstReturn_add_one h)

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