>>11591766So we proved that 1=2 and 2=1. We can then say that 1+x = 2+x for any arbitrary real x because the same quantity is added to both sides, preserving the equality, which proves that every real number is equal to every other.
Now, by using this result we can prove that imaginary numbers are equal to real numbers (and thus that all complex numbers are equal). Given that we can say because as we established 1=-1.
Similar proofs can be established for other domains of the quaternions, octonions, sedenions and trigintaduonions.
In general, for any -ions all numbers are equal. Therefore all numbers are equal
