Disjunction introduction or Addition is a simple argument form, an immediate inference and a valid rule of inference of propositional logic. The rule makes it possible to introduce disjunctions to logical proofs. It is the inference that if A is true, then A or B must be true.
It can be expressed in formal language as:
The argument form has one premise, A, and an unrelated proposition, B. From the premise it can be logically concluded that either A or B is true.
Here is an example of such an argument:
Disjunction introduction is controversial in paraconsistent logic because in combination with other rules of logic, it leads to explosion (i.e. everything becomes provable). See Tradeoffs in Paraconsistent logic.