There is no general algorithm for deducing systematically whether a given assertion is true or false.
The construction of proofs is an art and a craft. The skill to develop a proof can only be learned by
means of examples and practice.
Generally, a proof consists of a series of assertions from which the final assertion is derived and
that is the Conclusion – the assertion to be proved. For example, a typical inference rule is:
if P→Q and
Q→Rthen
P→R (conclusion)
There are a number of such Inference Rules which help us in developing a proof. Some of them are:
if Pthen P∨Q, can also be written as P⇒P
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