lean2/tests/lean/hott/615.hlean

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-- HoTT
import hit.circle
open circle eq int
attribute circle.rec circle.elim [recursor 4]
protected definition my_code (x : circle) : Type₀ :=
begin
induction x,
{ exact },
{ apply ua, apply equiv_succ}
end
protected definition my_decode {x : circle} : my_code x → base = x :=
begin
induction x,
{ exact power loop},
{ apply eq_of_homotopy, intro a,
refine !arrow.arrow_transport ⬝ !transport_eq_r ⬝ _,
rewrite [transport_code_loop_inv,power_con,succ_pred]}
end