• This establishes ( or proves ) the theorem .
• By purely mathematical reasoning it is possible to demonstrate ( or prove ) a theorem which ...
• Thus the theorem is proved .
• This establishes ( or proves ) the theorem .
• By purely mathematical reasoning it is possible to demonstrate ( or prove ) a theorem which ...
• Thus the theorem is proved .
Циммерман М., Веденеева К.. Русско-Английский научно-технический словарь переводчика. Russian-English scientific dictionary for translators. 2012