On Sunday, January 6, 2019 at 11:57:57 AM UTC-5, José Manuel Rodriguez Caballero wrote:
Hello,
  After reading the (beautiful) paper 

Paredes, Belén. "Boson-Lattice Construction for Anyon Models." arXiv preprint arXiv:1804.01605 (2018).

I was rather motivated to explore modular tensor categories: 

using a proof assistant. My preferred proof assistant is Isabelle/HOL, because of the hight level of automation, but I am not sure that simple type theory is the best formal system to work with modular tensor categories. As far as I know, HoTT has been used in order to formalize category theory in a rather successful way. In my case, I programmed a little bit in UniMath (Coq), but thee automation was almost zero (maybe there is some automation, but I did not know how to use it, everything that I learned in computer sciences was self-taught).

So, I wonder in which proof assistant HoTT can be used with a maximum of automation.

Kind Regards,
José M.



A trivial example of Hott with Lean


import homotopy.cylinder
open cylinder
check cylinder_rel
check cylinder
check base
check top
check seg
constants {A B : Type} (f : A → B)
constant {c : A}
variables {g : A -> A}


example (c : A) : base f (f (g c))  = top f (g c) :=
begin
  rewrite seg
end
 

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