Cartesian_Product_of_Subsets
Provedcartesian-productproofwikisubsets
Let A ⊆ B and S ⊆ T. Then A × S ⊆ B × T.
Preamble
import Mathlib.Data.Set.Prod
Formal statement
theorem Cartesian_Product_of_Subsets {α : Type _} {β : Type _} (A B : Set α) (S T : Set β) (hAB : A ⊆ B) (hST : S ⊆ T) : A ×ˢ S ⊆ B ×ˢ T := by sorrySource