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Transformation rules
Propositional calculus
Rules of inference
Implication introduction
/
elimination (
modus ponens
)
Biconditional introduction
/
elimination
Conjunction introduction
/
elimination
Disjunction introduction
/
elimination
Disjunctive
/
hypothetical syllogism
Constructive
/
destructive dilemma
Absorption
/
modus tollens
/
modus ponendo tollens
Rules of replacement
Associativity
Commutativity
Distributivity
Double negation
De Morgan's laws
Transposition
Material implication
Exportation
Tautology
Negation introduction
Predicate logic
Universal generalization
/
instantiation
Existential generalization
/
instantiation
v
t
e
See also
{{
Classical logic
}}
{{
Logic templates
}}
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