reference : https://en.wikipedia.org/wiki/Armstrong%27s_axioms
Axiom of reflexivity


Axiom of augmentation
If
, then
for any 



Axiom of transitivity
If
and
, then 



Additional rules
These rules can be derived from above axioms.
Union[edit]
If
and
then 



Decomposition[edit]
If
then
and 



Pseudo transitivity[edit]
If
and
then 



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