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The name Ssreflect stands for "small scale reflection", a style of proof that evolved from the computer-checked proof of the Four Colour Theorem and which leverages the higher-order nature of Coq's underlying logic to provide effective automation for many small, clerical proof steps. This is often accomplished by restating ("reflecting") problems in a more concrete form, hence the name. For example, in the Ssreflect library, arithmetic comparison is not an abstract predicate, but a function computing a boolean.