# A != b != c

**URL:** <https://discourse.julialang.org/t/a-b-c/1347>\
**Category:** Internals & Design\
**Tags:** proposal\
**Created:** [January 7, 2017, 3:57pm UTC](https://discourse.julialang.org/t/a-b-c/1347 "2017-01-07T15:57:38Z")\
**Posts on this page:** 1\
**Showing post:** 18

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**Author:** ![Palli](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/palli/32/3380_2.png) [@Palli](https://discourse.julialang.org/u/Palli)\
**Post date:** [January 9, 2017, 8:31pm UTC](https://discourse.julialang.org/t/a-b-c/1347/18 "2017-01-09T20:31:59Z")

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> [@pint](#):
>
> is there a use case in which \< is not transitive?

I believe no… but math has a way of surprising me… I don’t know half of it… E.g. I didn’t give this much though until I realized (with more advanced “numbers” they lose more properties):

For complex number (and matrices of anything, except trivial 1x1?) \< is not defined. Other than that, I believe when \< is defined, it’s always defined the same way. Otherwise, I’m in trouble… and I really need to know.

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