# HG changeset patch
# User Shinji KONO <kono@ie.u-ryukyu.ac.jp>
# Date 1607180927 -32400
# Node ID f0ceffb6a7e9cf8e32cb172e8a157377cf7285f7
# Parent  fa1e0944d1a02b28e284f858468458ea26452b12
...

diff -r fa1e0944d1a0 -r f0ceffb6a7e9 FLComm.agda
--- a/FLComm.agda	Sat Dec 05 12:57:44 2020 +0900
+++ b/FLComm.agda	Sun Dec 06 00:08:47 2020 +0900
@@ -111,23 +111,27 @@
 anyComm [] [] = record { commList = [] ; commAny = λ _ _ () }
 anyComm [] (cons q Q qr) = record { commList = [] ; commAny = λ _ _ () }
 anyComm (cons p P pr) [] = record { commList = [] ; commAny = λ _ _ _ () }
-anyComm (cons p P pr) Q = anyc0n Q where
-  anyc00 : (Q : FList n) (q : FL n) → fresh (FL n) ⌊ _f<?_ ⌋ q Q → fresh (FL n) ⌊ _f<?_ ⌋ (perm→FL [ FL→perm p , FL→perm q ]) (commList (anyComm (cons p P pr) Q))
+anyComm (cons p P pr) Q = anyc0n Q Q where
+  anyc0n : (Q Q1 : FList n) → AnyComm (cons p P pr) Q1
+  anyc00 : (Q Q1 : FList n) (q : FL n) → fresh (FL n) ⌊ _f<?_ ⌋ q Q1 → fresh (FL n) ⌊ _f<?_ ⌋ (perm→FL [ FL→perm p , FL→perm q ]) (commList (anyc0n Q Q1))
   anyc00 = {!!}
-  anyc01 :  (Q : FList n)  (q : FL n) → (qr : fresh (FL n) ⌊ _f<?_ ⌋ q Q ) → (p₁ q₁ : FL n) → Any (_≡_ p₁) (cons p P pr) → Any (_≡_ q₁) (cons q Q qr) →
-    Any (_≡ perm→FL [ FL→perm p₁ , FL→perm q₁ ]) (cons (perm→FL [ FL→perm p , FL→perm q ])  (commList (anyComm (cons p P pr) Q)) (anyc00 Q q qr))
-  anyc01 Q q qr p q   (here refl)  (here refl)  = here refl
-  anyc01 Q q qr p q₁  (here refl)  (there anyq) = there (commAny (anyComm (cons p P pr) Q) p q₁ (here refl) anyq ) 
-  anyc01 Q q qr p₁ q  (there anyp) (here refl) = anyc02 Q q qr (commAny (anyComm P (cons q Q qr)) p₁ q anyp (here refl)) where
-    anyc02 :  (Q : FList n) (q : FL n) → (qr : fresh (FL n) ⌊ _f<?_ ⌋ q Q )
-           → Any (_≡ perm→FL [ FL→perm p₁ , FL→perm q ]) (commList (anyComm P (cons q Q qr)))
-           → Any (_≡ perm→FL [ FL→perm p₁ , FL→perm q ]) (cons (perm→FL [ FL→perm p , FL→perm q ]) (commList (anyComm (cons p P pr) Q)) (anyc00 Q q qr))
-    anyc02 Q q qr t = {!!}
-  anyc01 Q q qr p₁ q₁ (there anyp) (there anyq) = there (commAny (anyComm (cons p P pr) Q) p₁ q₁ (there anyp) anyq )
-  anyc0n : (Q : FList n) → AnyComm (cons p P pr) Q
-  anyc0n [] = record { commList = [] ; commAny = λ _ _ _ () }
-  anyc0n (cons q Q qr ) = record { commList = cons (perm→FL [ FL→perm p , FL→perm q ]) (commList (anyComm (cons p P pr) Q)) (anyc00 Q q qr)
-                                 ; commAny = anyc01 Q q qr }
+  anyc01 :  (Q Q1 : FList n)  (q : FL n) → (qr : fresh (FL n) ⌊ _f<?_ ⌋ q Q1 ) → (p₁ q₁ : FL n) → Any (_≡_ p₁) (cons p P pr) → Any (_≡_ q₁) (cons q Q1 qr) →
+    Any (_≡ perm→FL [ FL→perm p₁ , FL→perm q₁ ]) (cons (perm→FL [ FL→perm p , FL→perm q ])  (commList (anyc0n Q Q1)) (anyc00 Q Q1 q qr)) 
+  anyc01 Q Q1 q qr p q   (here refl)  (here refl)  = here refl
+  anyc01 Q Q1 q qr p q₁  (here refl)  (there anyq) = there (commAny (anyc0n  Q Q1) p q₁ (here refl) anyq ) 
+  anyc01 Q Q1 q qr p₁ q  (there anyp) (here refl)  with commAny (anyc0n Q []) p₁ q (there anyp) {!!} --  Any (_≡_ q) Q
+  ... | t = {!!}
+   where
+    -- anyc02 Q p₁ q qr anyp where
+    anyc02 :  {P : FList n} {p₂ : FL n} {pr₂ : fresh (FL n) ⌊ _f<?_ ⌋ p₂ P}
+           → (Q1 : FList n) (p₁ q : FL n) → (qr : fresh (FL n) ⌊ _f<?_ ⌋ q Q1 ) → Any (_≡_ p₁) (cons p₂ P pr₂)
+           → Any (_≡ perm→FL [ FL→perm p₁ , FL→perm q ]) (cons (perm→FL [ FL→perm p , FL→perm q ]) (commList (anyc0n Q Q1)) (anyc00 Q Q1 q qr)) 
+    anyc02 {P} Q p₁ q qr (here refl) = {!!}
+    anyc02 {P} Q p₁ q qr (there any) = {!!}
+  anyc01 Q Q1 q qr p₁ q₁ (there anyp) (there anyq) = there (commAny (anyc0n Q Q1) p₁ q₁ (there anyp) anyq )
+  anyc0n Q1 [] = record { commList = (commList (anyComm P Q)) ; commAny = λ _ _ _ () }
+  anyc0n Q1 (cons q Q2 qr ) = record { commList = cons (perm→FL [ FL→perm p , FL→perm q ]) (commList (anyc0n Q Q2)) (anyc00 Q Q2 q qr) 
+                                 ; commAny = anyc01 Q Q2 q qr }
 
 -- {-# TERMINATING #-}
 CommStage→ : (i : ℕ) → (x : Permutation n n ) → deriving i x → Any (perm→FL x ≡_) ( CommFListN i )