PDI Derivation Rules Derivation Rules Alex Guevara All the Derivation Rules of PD and $`=\text{'}$ Rules Identity Introduction $(=\text{I})$ $\rhd$ $(\forall x)x=x$ Identity Elimination $(=\text{E})$ $a=b$ $\mathscr{P}$ $\rhd$ $\mathscr{P}(a//b)$ or $a=b$ $\mathscr{P}$ $\rhd$ $\mathscr{P}(b//a)$