For the practice of "simplifying" fractions, see Fraction (mathematics)#Equivalent fractions.
In mathematical logic, simplification (equivalent to conjunction elimination) is a valid argument and rule of inference which makes the inference that, if the conjunction A and B is true, then A is true, and B is true.
In formal language:
or
The argument has one premise, namely a conjunction, and one often uses simplification in longer arguments to derive one of the conjuncts.
An example in English:
- It's raining and it's pouring.
- Therefore it's raining.
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