joinedIn_univ — Mathlib

English

Let x,y ∈ X. Then joining in the whole space (with Set.univ) is equivalent to joining in the ambient space: JoinedIn univ x y ↔ Joined x y.

Русский

Пусть x,y ∈ X. Соединение в полном пространстве (Set.univ) эквивалентно соединению в самой окружности: JoinedIn univ x y ⇔ Joined x y.

LaTeX

$$JoinedIn Set.univ x y ↔ Joined x y$$

Lean4

@[simp]
theorem joinedIn_univ : JoinedIn univ x y ↔ Joined x y := by simp [JoinedIn, Joined, exists_true_iff_nonempty]

Похожие утверждения