Is it implementation defined which algorithms can accept a mutable lambda?

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I found here that lambdas are captured by value. This means that if an algorithm internally uses a second algorithm which accepts the lambda by value, any mutable state of the lambda will not be preserved. I will repost my linked questions example here:

remove_if(begin(values), end(values), [i = 0U, it = cbegin(intervals), end = cend(intervals)](const auto&) mutable {
    return it != end && ++i > it->first && (i <= it->second || (++it, true));
})

So at the time of writing my original question remove_if had implementation defined behavior for a mutable lambda. Is there a list of what other functions are implementation defined?

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Dan M. On BEST ANSWER

Yes, it is. See [algorithms.requirements]:

http://eel.is/c++draft/algorithms#requirements-9

[Note: Unless otherwise specified, algorithms that take function objects as arguments are permitted to copy those function objects freely. Programmers for whom object identity is important should consider using a wrapper class that points to a noncopied implementation object such as reference_wrapper, or some equivalent solution. — end note]