fintype structure on the range of a finite range map.
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The range of a finite range map, as a finset.
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If the codomain of X is finite, then X has finite range.
Functions ranging in a Finset have finite range
Constants have finite range
If X has finite range, then any function of X has finite range.
If X has finite range, then X of any function has finite range.
If X, Y have finite range, then so does the pair ⟨X, Y⟩.
The product of functions of finite range, has finite range.
The sum of functions of finite range, has finite range.
The product of functions of finite range, has finite range.
The sum of functions of finite range, has finite range.
The quotient of two functions with finite range, has finite range.
The difference of functions of finite range, has finite range.
The product of functions of finite range, has finite range.
The sum of functions of finite range, has finite range.
The inverse of a function of finite range, has finite range.
The negation of a function of finite range, has finite range.
The product of functions of finite range, has finite range.
The sum of functions of finite range, has finite range.
A function of finite range raised to a constant power, has finite range.
The multiple of a function of finite range by a constant, has finite range.
A function of finite range raised to a constant power, has finite range.
The multiple of a function of finite range by a constant, has finite range.
The product of a finite number of functions with finite range, has finite range.
The sum of a finite number of functions with finite range, has finite range.