[ BeginEnv "proposition" , Label "assumetest" , Word "if" , BeginEnv "math" , Variable "x" , Command "in" , Variable "y" , EndEnv "math" , Symbol "," , Word "then" , BeginEnv "math" , Variable "x" , Command "in" , Variable "y" , EndEnv "math" , Symbol "." , EndEnv "proposition" , BeginEnv "proof" , Word "assume" , BeginEnv "math" , Variable "x" , Command "in" , Variable "y" , EndEnv "math" , Symbol "." , Word "then" , BeginEnv "math" , Variable "x" , Command "in" , Variable "y" , EndEnv "math" , Symbol "." , EndEnv "proof" , BeginEnv "proposition" , Label "assumetesttwo" , Word "if" , BeginEnv "math" , Variable "x" , Command "in" , Variable "y" , EndEnv "math" , Word "and" , BeginEnv "math" , Variable "a" , Command "in" , Variable "b" , EndEnv "math" , Symbol "," , Word "then" , BeginEnv "math" , Variable "x" , Command "in" , Variable "y" , EndEnv "math" , Symbol "." , EndEnv "proposition" , BeginEnv "proof" , Word "assume" , BeginEnv "math" , Variable "a" , Command "in" , Variable "b" , EndEnv "math" , Symbol "." , Word "assume" , BeginEnv "math" , Variable "x" , Command "in" , Variable "y" , EndEnv "math" , Symbol "." , Word "then" , BeginEnv "math" , Variable "x" , Command "in" , Variable "y" , EndEnv "math" , Symbol "." , EndEnv "proof" ]