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changeset 190:2056fc69974c

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author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Sun, 29 Nov 2020 00:28:19 +0900
parents d0b678eec506
children 03d40f6e98b1
files FLComm.agda
diffstat 1 files changed, 4 insertions(+), 2 deletions(-) [+]
line wrap: on
line diff
--- a/FLComm.agda	Sun Nov 29 00:05:15 2020 +0900
+++ b/FLComm.agda	Sun Nov 29 00:28:19 2020 +0900
@@ -58,8 +58,10 @@
    comm3 : (L1 : FList n) → Any (H ≡_) L1 → (L3 : FList n) → Any (_≡_ (perm→FL [ g , h ])) (tl3 G L1 L3)
    comm3 (H ∷# []) (here refl) L3 = subst (λ k → Any (_≡_  k) (FLinsert (perm→FL [ FL→perm G , FL→perm H ]) L3 ) )
        comm6 (x∈FLins ( perm→FL [ FL→perm G , FL→perm H ] ) L3 )
-   comm3 (H ∷# cons a L1 x) (here refl) L3 = ?
-   comm3 (cons _ _ _) (there b) L3 = {!!}
+   comm3 (H ∷# cons a L1 x) (here refl) L3 = comm3 (cons a L1 x) {!!} {!!} where
+       L3' : FList n
+       L3' = tl3 G L1 (FLinsert (perm→FL [ FL→perm G , FL→perm a ]) (FLinsert (perm→FL [ FL→perm G , FL→perm H ]) L3))
+   comm3 (cons a L  _) (there b) L3 = comm3 L b (FLinsert (perm→FL [ FL→perm G , FL→perm a ]) L3)
    comm2 : (L L1 : FList n) → Any (G ≡_) L → Any (H ≡_) L1 → (L3 : FList n) → Any (perm→FL [ g , h ]  ≡_) (tl2 L L1 L3)
    comm2 (cons G L xr) L1 (here refl) b L3 = comm7 L L3 where
        comm7 : (L L3 : FList n) → Any (_≡_ (perm→FL [ g , h ])) (tl2 L L1 (tl3 G L1 L3))