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This is not always true.
Logically invalid statements.
An obverse statement is logically equivalent.
Not always. For example, X is equal to or less than 6 is not the same as X is equivalent to 6.
This would be logically equivalent to the conditional you started with.
No.
a conditional and its contrapositive
Contrapositive
This is not always true.
Logically invalid statements.
A Contrapositive statement is logically equivalent.
An obverse statement is logically equivalent.
syllogism
A proof shows how a conclusion follows other statements
Not always. For example, X is equal to or less than 6 is not the same as X is equivalent to 6.
The statement "if not p, then not q" always has the same truth value as the conditional "if p, then q." They are logically equivalent.
If an algebraic expression is equivalent to another algebraic expression then it is an equation.