List of rules of inference
Transformation rules
Propositional calculus
Rules of inference
(
List
)
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
Modus non excipiens
Negation introduction
Rules of replacement
Associativity
Commutativity
Distributivity
Double negation
De Morgan's laws
Transposition
Material implication
Exportation
Tautology
Predicate logic
Rules of inference
Universal generalization
/
instantiation
Existential generalization
/
instantiation
This is a list of
rules of inference
, logical laws that relate to mathematical formulae.