English
For any Y, [TopologicalSpace Y], and g : Y → Path x y, Continuous ⁿ g is equivalent to Continuous g after uncurry.
Русский
Для любого Y и функции g: Y → Path x y акселерация непрерывности свернута обратно: Continuous(uncurry g) эквивалентно Continuous g.
LaTeX
$$$\\text{Continuous}(\\text{Path.instHasUncurryPath.uncurry } g) \\iff \\text{Continuous}(g)$$$
Lean4
@[simp]
theorem symm_range {a b : X} (γ : Path a b) : range γ.symm = range γ :=
symm_involutive.surjective.range_comp γ