A rule of inference in Propositional logic. Used to break up a disjunctive statement. Like this:
(I am using ^ for 'or', not xor).

P^Q
~P
Therefore, Q

I have an apple or an orange.
I don't have an apple.
Therefore, I have an orange.

Abruviated as DS.

See also: Modus Ponens, Modus Tollens, And Hypothetical Syllogism.

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