ext — Mathlib

English

Simplices are equal if all their corresponding points coincide.

Русский

Симплексы равны, если их соответствующие точки совпадают.

LaTeX

$$@ext (∀ i, s1.points i = s2.points i) → s1 = s2$$

Lean4

/-- Two simplices are equal if they have the same points. -/
@[ext]
theorem ext {n : ℕ} {s1 s2 : Simplex k P n} (h : ∀ i, s1.points i = s2.points i) : s1 = s2 :=
  by
  cases s1
  cases s2
  congr with i
  exact h i

Похожие утверждения