this post was submitted on 24 Oct 2025
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Science Memes

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[–] Gobbel2000@programming.dev 7 points 6 days ago (4 children)

Wrong formula aside, what is the meaning of dividing an entire equation? (x = b) / a

[–] Crazazy@feddit.nl 8 points 6 days ago* (last edited 6 days ago) (3 children)
[–] Gobbel2000@programming.dev 2 points 6 days ago (2 children)

Okay, but even if we assumed (x=b) to be a very small equivalence relation, it should appear in the denominator position to form an equivalence quotient.

[–] Crazazy@feddit.nl 2 points 6 days ago* (last edited 6 days ago) (1 children)

Oh yeah was a bit sleepy and thought you could just put arbitrary expressions in the numerator instead of just the type.

But consider this: heterogeneous propositional equality type of types x and b under equivalence relation a, which is bound somewhere else in the aether that we can't see in the screenshot

Constructors of this equality type? No fucking clue but I'm sure there exist some to make the need for an equivalence relation make sense

[–] Gobbel2000@programming.dev 3 points 6 days ago

You're probably on the right track. Every hunk of symbols is probably a valid type expression in some system. Including a square root type.