(p0 (suc n) X)
)
(cC DC f_star2 Z (n,X.1) (p0 (suc Z.1) f_star2.2) F)
- = undefined
- -- = compPath (cH C.1 if_star2 (int n X.1))
- -- (cC DC f_star2 (suc n, X) (n,X.1)
- -- (cC DC f_star2 (fstar n X Y f) (suc n, X) q2 (q_ n X Y f).1)
- -- (p0 (suc n) X))
- -- (cC DC f_star2 (fstar n X Y f) (n,X.1)
- -- q2
- -- (cC DC (fstar n X Y f) (suc n, X) (n, X.1) (q_ n X Y f).1 (p0 (suc n) X)))
- -- (cC DC f_star2 Z (n,X.1) (p0 (suc Z.1) f_star2.2) F)
- -- (cPathC DC f_star2 (fstar n X Y f) (suc n, X) (n,X.1) q2 (q_ n X Y f).1 (p0 (suc n) X))
- -- (compPath (cH C.1 if_star2 (int n X.1))
- -- (cC DC f_star2 (fstar n X Y f) (n,X.1)
- -- q2
- -- (cC DC (fstar n X Y f) (suc n, X) (n, X.1) (q_ n X Y f).1 (p0 (suc n) X)))
- -- (cC DC f_star2 (fstar n X Y f) (n,X.1)
- -- q2
- -- (cC DC (fstar n X Y f) Y (n, X.1) (p0 (suc Y.1) (fstar n X Y f).2) f))
- -- (cC DC f_star2 Z (n,X.1) (p0 (suc Z.1) f_star2.2) F)
- -- (<i> cC DC f_star2 (fstar n X Y f) (n,X.1) q2
- -- ((q_ n X Y f).2.1@-i))
- -- (compPath (cH C.1 if_star2 (int n X.1))
- -- (cC DC f_star2 (fstar n X Y f) (n,X.1)
- -- q2
- -- (cC DC (fstar n X Y f) Y (n, X.1) (p0 (suc Y.1) (fstar n X Y f).2) f))
- -- (cC DC f_star2 Y (n,X.1)
- -- (cC DC f_star2 (fstar n X Y f) Y q2 (p0 (suc Y.1) (fstar n X Y f).2))
- -- f)
- -- (cC DC f_star2 Z (n,X.1) (p0 (suc Z.1) f_star2.2) F)
- -- (<i>cPathC DC f_star2 (fstar n X Y f) Y (n, X.1) q2 (p0 (suc Y.1) (fstar n X Y f).2) f@-i)
- -- (compPath (cH C.1 if_star2 (int n X.1))
- -- (cC DC f_star2 Y (n,X.1)
- -- (cC DC f_star2 (fstar n X Y f) Y q2 (p0 (suc Y.1) (fstar n X Y f).2))
- -- f)
- -- (cC DC f_star2 Y (n,X.1)
- -- (cC DC f_star2 Z Y (p0 (suc Z.1) f_star2.2) g)
- -- f)
- -- (cC DC f_star2 Z (n,X.1) (p0 (suc Z.1) f_star2.2) F)
- -- (<i>cC DC f_star2 Y (n,X.1)
- -- ((q_ Y.1 (fstar n X Y f).2 Z g).2.1@-i) f)
- -- (cPathC DC f_star2 Z Y (n, X.1) (p0 (suc Z.1) f_star2.2) g f))))
- -- opaque hole3
+ = compPath (cH C.1 if_star2 (int n X.1))
+ (cC DC f_star2 (suc n, X) (n,X.1)
+ (cC DC f_star2 (fstar n X Y f) (suc n, X) q2 (q_ n X Y f).1)
+ (p0 (suc n) X))
+ (cC DC f_star2 (fstar n X Y f) (n,X.1)
+ q2
+ (cC DC (fstar n X Y f) (suc n, X) (n, X.1) (q_ n X Y f).1 (p0 (suc n) X)))
+ (cC DC f_star2 Z (n,X.1) (p0 (suc Z.1) f_star2.2) F)
+ (cPathC DC f_star2 (fstar n X Y f) (suc n, X) (n,X.1) q2 (q_ n X Y f).1 (p0 (suc n) X))
+ (compPath (cH C.1 if_star2 (int n X.1))
+ (cC DC f_star2 (fstar n X Y f) (n,X.1)
+ q2
+ (cC DC (fstar n X Y f) (suc n, X) (n, X.1) (q_ n X Y f).1 (p0 (suc n) X)))
+ (cC DC f_star2 (fstar n X Y f) (n,X.1)
+ q2
+ (cC DC (fstar n X Y f) Y (n, X.1) (p0 (suc Y.1) (fstar n X Y f).2) f))
+ (cC DC f_star2 Z (n,X.1) (p0 (suc Z.1) f_star2.2) F)
+ (<i> cC DC f_star2 (fstar n X Y f) (n,X.1) q2
+ ((q_ n X Y f).2.1@-i))
+ (compPath (cH C.1 if_star2 (int n X.1))
+ (cC DC f_star2 (fstar n X Y f) (n,X.1)
+ q2
+ (cC DC (fstar n X Y f) Y (n, X.1) (p0 (suc Y.1) (fstar n X Y f).2) f))
+ (cC DC f_star2 Y (n,X.1)
+ (cC DC f_star2 (fstar n X Y f) Y q2 (p0 (suc Y.1) (fstar n X Y f).2))
+ f)
+ (cC DC f_star2 Z (n,X.1) (p0 (suc Z.1) f_star2.2) F)
+ (<i>cPathC DC f_star2 (fstar n X Y f) Y (n, X.1) q2 (p0 (suc Y.1) (fstar n X Y f).2) f@-i)
+ (compPath (cH C.1 if_star2 (int n X.1))
+ (cC DC f_star2 Y (n,X.1)
+ (cC DC f_star2 (fstar n X Y f) Y q2 (p0 (suc Y.1) (fstar n X Y f).2))
+ f)
+ (cC DC f_star2 Y (n,X.1)
+ (cC DC f_star2 Z Y (p0 (suc Z.1) f_star2.2) g)
+ f)
+ (cC DC f_star2 Z (n,X.1) (p0 (suc Z.1) f_star2.2) F)
+ (<i>cC DC f_star2 Y (n,X.1)
+ ((q_ Y.1 (fstar n X Y f).2 Z g).2.1@-i) f)
+ (cPathC DC f_star2 Z Y (n, X.1) (p0 (suc Z.1) f_star2.2) g f))))
+ opaque hole3
hole4 : Path (cH C.1 if_star2 VT)
(cC C.1 if_star2 (int (suc n) X) VT
(cC C.1 if_star2 (intD (fstar n X Y f)) (int (suc n) X) q2 (q_ n X Y f).1)
(pb n X).1.2.2.1)
(pb Z.1 (Z.2, cC C.1 (intD Z) (intD Y) V g (cC C.1 (intD Y) (int n X.1) V f X.2))).1.2.2.1
- = undefined
- -- = compPath (cH C.1 if_star2 VT)
- -- (cC C.1 if_star2 (int (suc n) X) VT
- -- (cC C.1 if_star2 (intD (fstar n X Y f)) (int (suc n) X) q2 (q_ n X Y f).1)
- -- (pb n X).1.2.2.1)
- -- (cC C.1 if_star2 (intD (fstar n X Y f)) VT
- -- q2
- -- (cC C.1 (intD (fstar n X Y f)) (int (suc n) X) VT (q_ n X Y f).1 (pb n X).1.2.2.1))
- -- (pb Z.1 (Z.2, cC C.1 (intD Z) (intD Y) V g (cC C.1 (intD Y) (int n X.1) V f X.2))).1.2.2.1
- -- (cPathC C.1 if_star2 (intD (fstar n X Y f)) (int (suc n) X) VT q2 (q_ n X Y f).1 (pb n X).1.2.2.1)
- -- (compPath (cH C.1 if_star2 VT)
- -- (cC C.1 if_star2 (intD (fstar n X Y f)) VT
- -- q2
- -- (cC C.1 (intD (fstar n X Y f)) (int (suc n) X) VT (q_ n X Y f).1 (pb n X).1.2.2.1))
- -- (cC C.1 if_star2 (intD (fstar n X Y f)) VT
- -- q2
- -- (pb Y.1 (Y.2, cC C.1 (intD Y) (int n X.1) V f X.2)).1.2.2.1)
- -- (pb Z.1 (Z.2, cC C.1 (intD Z) (intD Y) V g (cC C.1 (intD Y) (int n X.1) V f X.2))).1.2.2.1
- -- (<i> cC C.1 if_star2 (intD (fstar n X Y f)) VT q2 ((q_ n X Y f).2.2@i))
- -- (q_ Y.1 (fstar n X Y f).2 Z g).2.2)
- -- opaque hole4
+ = compPath (cH C.1 if_star2 VT)
+ (cC C.1 if_star2 (int (suc n) X) VT
+ (cC C.1 if_star2 (intD (fstar n X Y f)) (int (suc n) X) q2 (q_ n X Y f).1)
+ (pb n X).1.2.2.1)
+ (cC C.1 if_star2 (intD (fstar n X Y f)) VT
+ q2
+ (cC C.1 (intD (fstar n X Y f)) (int (suc n) X) VT (q_ n X Y f).1 (pb n X).1.2.2.1))
+ (pb Z.1 (Z.2, cC C.1 (intD Z) (intD Y) V g (cC C.1 (intD Y) (int n X.1) V f X.2))).1.2.2.1
+ (cPathC C.1 if_star2 (intD (fstar n X Y f)) (int (suc n) X) VT q2 (q_ n X Y f).1 (pb n X).1.2.2.1)
+ (compPath (cH C.1 if_star2 VT)
+ (cC C.1 if_star2 (intD (fstar n X Y f)) VT
+ q2
+ (cC C.1 (intD (fstar n X Y f)) (int (suc n) X) VT (q_ n X Y f).1 (pb n X).1.2.2.1))
+ (cC C.1 if_star2 (intD (fstar n X Y f)) VT
+ q2
+ (pb Y.1 (Y.2, cC C.1 (intD Y) (int n X.1) V f X.2)).1.2.2.1)
+ (pb Z.1 (Z.2, cC C.1 (intD Z) (intD Y) V g (cC C.1 (intD Y) (int n X.1) V f X.2))).1.2.2.1
+ (<i> cC C.1 if_star2 (intD (fstar n X Y f)) VT q2 ((q_ n X Y f).2.2.1@i))
+ (q_ Y.1 (fstar n X Y f).2 Z g).2.2.1)
+ opaque hole4
pph : cospanConeHom C.1 (cs n X) pp (pb n X).1
= transport