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Let P be a polygon

Further to what has been said: These sentences in a proof are equivalent: Let $P_n$ be a polygon of $n$ vertices; then $\psi(P_n).$ Let $P_n$ be an arbitrary polygon of $n$ vertices; then $\psi(P_n)...
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Teaching "if...then" and "the following are equivalent"

What do you say to the following way of teaching "if...then"? An implication $(A {\implies} B)$ can be viewed as asserting that $B$ is at least as true as $A.$ This alludes to the meaning ...
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