face_inter_face — Mathlib

English

The intersection of two faces corresponds to the face determined by the intersection of their vertex sets: face(S1) ∩ face(S2) = face(S1 ∩ S2).

Русский

Пересечение граней соответствует грани, задаваемой пересечением множеств вершин: face(S1) ∩ face(S2) = face(S1 ∩ S2).

LaTeX

$$face(S1) \\cap face(S2) = face(S1 \\cap S2)$$

Lean4

theorem face_inter_face {n : ℕ} (S₁ S₂ : Finset (Fin (n + 1))) : face S₁ ⊓ face S₂ = face (S₁ ⊓ S₂) := by aesop

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