Open JacquesCarette opened 2 years ago
These all seem like great changes!
When we do this, we should probably update Pushout
as well.
This seems pretty straightforward. Are these changes still wanted?
This seems pretty straightforward. Are these changes still wanted?
I think so.
Some low-hanging fruit just need people with spare cycles!
(from @sergey-goncharov ): I would suggest:
move the "unique" field to the bottom. It is the most sophisticated property, and must logically be the last one (this should more generally be taken as a rule for all limits and colimits).
I suggest to replace 'unique' with what is currently derived as 'unique-diagram'. This would make everything symmetric, and I would expect, in most cases, it would be easier to prove that something is a pullback.
As a bonus, uniqueness will no longer depend on 'eq : f ∘ h₁ ≈ g ∘ h₂', which is really not needed for it, but which gets in way.