In mathematics, the adjective trivial is frequently used for objects ( for example, groups or topological spaces) that have a very simple structure. The noun triviality usually refers to a simple technical aspect of some proof or definition.
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The origin of the term in mathematical language comes from the medieval trivium curriculum. The antonym nontrivial is commonly used by engineers and.
Without loss of generality ( often abbreviated to WOLOG, WLOG or w. ; less commonly stated as without any loss of generality or with no loss of generality) is a frequently used expression in mathematics.
The term is used before an assumption in a proof which narrows the premise to some special case; it implies that the proof for that case can be easily applied to all others, or that all.