What is the symbol for demonstrating syntactic conversion (transformation or translation)? For example, I want to show a calculation sequence, from $ \neg ( A \wedge B ) $ to $ \neg A \vee \neg B $. Now I just use $ \vdash $: $ \neg ( A \wedge B ) \vdash \neg A \vee \neg B $. Is there a suitable symbol to replace $ \vdash $?
Thank you.
Kejia
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$\begingroup$P :⇔ Q means P is defined to be logically equivalent to Q. This could be a suitable substitution, but I believe what you are using is best suited, since it is literally translated as "is derived from."
$\endgroup$ 1 $\begingroup$You could use both $\Leftrightarrow$ (\Leftrightarrow) and $\equiv$ (\equiv), meaning that the statements are logically equivalent.
The symbol $\Rightarrow$ (or simply =>) would be my answer for a symbol for transformation, but I think it would be better if it were a single character symbol.
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