base -> inj tt
loop @ i -> quoteq{s1quot} tt tt tt @ i
-rem3 : (a : Unit) -> Id s1quot (f2 (f1 (inj a))) (inj a) = split
+rem3 : (a : Unit) -> Id s1quot (inj tt) (inj a) = split
tt -> <i> inj tt
-
test : Id U s1quot S1 =
isoId s1quot S1 f1 f2 rem1 rem2
where
rem2 : (x : s1quot) -> Id s1quot (f2 (f1 x)) x = split
inj a -> rem3 a
quoteq a b r @ i -> ?
- -- rem4 : (a b : Unit) (r : RS1 a b)->
- -- Id s1quot (quoteq{s1quot} tt tt tt @ i)
- -- (quoteq{s1quot} a b r @ i) = split
- -- tt -> \(b : Unit) (r : RS1 a b) -> rem5 b r
- -- where
- -- rem5 : (b r : Unit) ->
- -- Id s1quot (quoteq{s1quot} tt tt tt @ i)
- -- (quoteq{s1quot} tt b r @ i) = split
- -- tt -> \(r : Unit) -> rem6 r
- -- where
- -- rem6 : (r : Unit) ->
- -- Id s1quot (quoteq{s1quot} tt tt tt @ i)
- -- (quoteq{s1quot} tt tt r @ i) = split
- -- tt -> ? -- <i> rem3 tt @ i
-
-
-- Set quotient of A by R