[ [ BeginEnv "abbreviation" , Label "abbr_equal" , BeginEnv "math" , Variable "x" , Command "EQUAL" , InvisibleBraceL , Variable "y" , InvisibleBraceR , Variable "z" , EndEnv "math" , Word "iff" , BeginEnv "math" , Variable "x" , Symbol "=" , Variable "z" , EndEnv "math" , Symbol "." , EndEnv "abbreviation" ] , [ BeginEnv "proposition" , Label "dummy_abbr_test" , Word "for" , Word "all" , BeginEnv "math" , Variable "x" , EndEnv "math" , Word "we" , Word "have" , BeginEnv "math" , Variable "x" , Command "EQUAL" , InvisibleBraceL , Variable "y" , InvisibleBraceR , Variable "x" , EndEnv "math" , Symbol "." , EndEnv "proposition" ] , [ BeginEnv "abbreviation" , Label "defn_equals" , BeginEnv "math" , Variable "x" , Command "EQUALS" , InvisibleBraceL , Variable "y" , InvisibleBraceR , InvisibleBraceL , Variable "w" , InvisibleBraceR , Variable "z" , EndEnv "math" , Word "iff" , BeginEnv "math" , Variable "x" , Symbol "=" , Variable "z" , EndEnv "math" , Symbol "." , EndEnv "abbreviation" ] , [ BeginEnv "proposition" , Label "dummy_defn_test" , Word "for" , Word "all" , BeginEnv "math" , Variable "x" , EndEnv "math" , Word "we" , Word "have" , BeginEnv "math" , Variable "x" , Command "EQUALS" , InvisibleBraceL , Variable "y" , InvisibleBraceR , InvisibleBraceL , Variable "w" , InvisibleBraceR , Variable "x" , EndEnv "math" , Symbol "." , EndEnv "proposition" ] ]