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foreign [Music] today I want to present about application rules of inference in real life so there are three that I will introduce that I will present in introduction first is statement and logical connectivities second is law of logic and there is Rule of difference so for the statement and logical connectivities the statement or a proposition is a decorative sentence that is either true or false but not both the statement can be represented by variable x y and the others the arrival called propositional variable this true statement have two value where first statement have false value there is a logical operative must be followed to make compound statements such as o and negation implication and biconditional for the law of logic law of logic are used while proving or simplified a statement by using law of logic we can show two different statements as logically equivalence we also can use law of logic to solve the problem rule of efforts that are shown below so there are many rules