Dayo Ogundipe edited A_set_A_is_called__.tex  over 8 years ago

Commit id: 2d754583c7b238835f155d9bbafbf608f4ce6607

deletions | additions      

       

Show that if the sets A, B are both countably infinite then so is the Cartesian product $A\times B:=\{(,a,b): a\in A, b\in B\}$.    \[A x B \in \{(a,b) {(a,b)  | A_i \in A, B_i \in B} \] \[ A $A$  is the set {A_1,A_2,A_3, ${A_1,A_2,A_3,  ... A_i} \]  \[B A_i}$   $B$  is the set {B_1, ${B_1,  B_2, B_3 ... B_i} \] $