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There is a section in the documentation Comparisons and set operations whose first sentence reads "All comparisons and set operations for Real have been purposely disallowed to prevent silent errors".
Sorry I meant that isapprox has not been explicitly disallowed - we haven't defined it (to error) for intervals. It's falling back to a generic definition in base as far as I can see.
Actually it was disallowed on purpose. We currently just rely on a fallback error.
This is the case for several other functions, eg symdiff or intersect, etc. (see intersect(interval(1, 2), interval(1, 2))).
That being said, I am not opposed to customise the error message eventually.
This should either work or fail with a sensible error message.
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