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Repetition - R

Modus Ponens - mp

Modus Tollens - mt

Double Negation - dn

Simplification - s
for conjunction

Adjunction - adj
for conjunction

Addition - add
for disjunction

Modus tollendo ponens - mtp
for disjunction

Biconditional-to-conditional - bc
for biconditional

Conditional-to-biconditional - cb
for biconditional

Negation of conditional - nc
based on T40

Conditional as disjunction - cdj
Based on T45, T46

Seperation of cases - sc
based on T33, T49

DeMorgan’s - dm
based on T63-66

Negation of biconditional - nb
Based on T90
