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As hinted in the manual for Lua 5.3, the emulation of the metamethod for '__le' using '__le' has been deprecated. It is slow, complicates the logic, and it is easy to avoid this emulation by defining a proper '__le' function. Moreover, often this emulation was used wrongly, with a programmer assuming that an order is total when it is not (e.g., NaN in floating-point numbers).