Terms for subject Mathematics containing loss of generality

English	Russian
loss of generality	проигрыш в общности
loss of generality	потеря общности
there is no loss of generality in supposing that A is defined on X	без потери общности предположим, что A определёно на X
without loss of generality	без потери общности (we may assume that...)
without loss of generality	не умаляя общности
without loss of generality	не теряя общности
without loss of generality	не уменьшая общности
without loss of generality	без ущерба для общности
without loss of generality	без потери общности