II$.$ Perform the operations of conversion, obversion, and contraposition as indicated.

Convert the following propositions and state whether the converse is logically equivalent or not logically equivalent to the given proposition.

a$.$ All hurricanes are storms intensified by global warming.

b$.$ No sex$-$change operations are completely successful procedures.

c$.$ Some murals by Diego Rivera are works that celebrate the revolutionary spirit.

d$.$ Some forms of carbon are not substances with a crystalline structure.

Obvert the following propositions and state whether the obverse is logically equivalent or not logically equivalent to the given proposition.

a$.$ All radically egalitarian societies are societies that do not preserve individual liberties.

b$.$ No cult leaders are people who fail to brainwash their followers.

c$.$ Some college football coaches are people who do not slip money to their players.

d$.$ Some budgetary cutbacks are not actions fair to the poor.

Contrapose the following propositions and state whether the contrapositive is logically equivalent or not logically equivalent to the given proposition.

a$.$ All physicians whose licenses have been revoked are physicians ineligible to practice.

b$.$ No unpersecuted migrants are mrigrants granted asylum.

c$.$ Some politicians who do not defend Social Security are politicans who do not want to increase taxes.

d$.$ Some opponents of gay marriage are not opponents of civil unions.