surjective_stereographic — Mathlib

English

Reiterating, for hv with ‖v‖ = 1, the stereographic projection is surjective onto the orthogonal complement.

Русский

Повторение: для ‖v‖ = 1 стереографическая проекция сюръективна на ортогональное дополнение.

LaTeX

$$$\\text{Surjective}(\\text{stereographic } hv)$$$

Lean4

theorem surjective_stereographic (hv : ‖v‖ = 1) : Surjective (stereographic hv) :=
  (stereographic hv).surjective_of_target_eq_univ rfl

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