lean2/tests/lean/hott/615.hlean
2016-12-02 16:55:23 -08:00

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-- HoTT
import homotopy.circle
open circle eq int pi
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 arrow_pathover_left, intro b, apply concato_eq, apply eq_pathover_r,
xrewrite [power_con, transport_code_loop]},
end