Formulas and proofs syntax 
Logical connectives




Proof Line  Effects  Conditions 

assume A.  adds A to the end of the list of the hypothesis of the previous proof line  no conditions 
therefore A => B.  removes the last introduced hypothesis. This proof line is the application of the rule =>I 
The removed hypothesis must be A.
The formula B must be usable on the previous proof line. 
A.  no effects  The formula A must be a copy of a formula usable on this proof line or must be obtained by application of a rule to formulas usable on this line. 


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