However, the usual meaning of undefined behavior does not apply to this case. UB is unsafe and should be avoided altogether, whereas implementation-defined behavior just means that some systems will handle this differently than others.
Yes, it’s an industry term – here’s implementation-defined behavior. These links mostly talk about C and C++, but Rust uses the same terminology, especially since LLVM is first and foremost a C and C++ backend.
If you think this could be confusing to unfamiliar users, it might be worth adding some clarification.
No, “Implementation Defined Behavior” and “Undefined Behavior” are definitely different things and terms of art. “Implementation Defined” usually refers to something which will not be the same across implementations, but, that will have a definite, safe behavior on a given implementation, whereas, “Undefined Behavior” refers to something where even a specific implementation will not specifically define what will occur and, in fact, anything at all is free to occur, hence making it unsafe.
A seek beyond the end of a stream is allowed, but it is implementation-defined.
the hyphen makes it clear "implementation defined" is a known concept (and matches it's usage elsewhere) and the "it is" makes it a bit more clear that the full sentence is considered and intentional.
While normally I find brevity improves clarity, in this case if you don't realize "implementation defined" is a single concept, it sounds like a thought that trailed off after an edit
OTOH, the implementations docs are a) hidden by default b) don't say what the implemented behavior is. Funnily enough, it's likely that for File, the behavior is implementation-defined at the OS level.
With terms of art like “undefined behavior” and “implementation defined” that we really have to use in documentation, yet not everyone is aware they have a very specific well-known definition, I think the only complete solution would be to make all uses of them in official documentation links to a standard glossary or FAQ entry or something.