lean_workbook_plus_10058

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove the following relation: $\forall A,B,C,D \in \mathcal{P}(E) : (A \subset B) \wedge (C \subset D) \Longrightarrow A \cap C \subset B \cap D$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_10058 (E : Type) (A B C D : Set E) (h1 : A ⊆ B) (h2 : C ⊆ D) :
  A ∩ C ⊆ B ∩ D   :=  by sorry

Source