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Conjunction
p^q
Disjunction
pVq
“not”
~
Conditional
If p, then q
Inverse
If not p, then not q
Converse
If q, then p
Contrapositive
If not q, then not p
Bi-Conditional
p if and only if q
Law of Detachment
If p is true, then q. p is true.
Law of Syllogism
If p, then q. If q, then r.