If we operate in accordance with Peirce's example of `g`'o'h as the "giver of a horse to an owner of that horse", then we may assume that the associative law and the distributive law are by default in force, allowing us to derive this equation:
+
If we operate in accordance with Peirce's example of <math>\mathfrak{g}\mathit{o}\mathrm{h}</math> as the "giver of a horse to an owner of that horse", then we may assume that the associative law and the distributive law are in force, allowing us to derive this equation: