Two general facts: First, the structure map of an initial algebra on Set is always a bijection. |
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After having recalled the basic definitions, we present two algorithms, reciprocical to each other, that give the wanted bijection. |
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In fact, it is easy to see that this bijection provides a conjugacy. |
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Rabh's proof defines a bijection between a disk and a triangle. |
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There is a bijection between every pair of equivalence classes: the inverse of a representative of the first equivalence class, composed with a representative of the second. |
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Note in particular that a function is a bijection if and only if it's both an injection and a surjection. |
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Removal of all references to partial bijection. |
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Moreover, we deal with finite structures only, hence f is surjective too, and consequently it is a bijection. |
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Purpose of this generator is to offer a bijection between model and code. |
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