--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/cbc-hoare-loop.agda	Tue Sep 08 18:38:08 2020 +0900
@@ -0,0 +1,15 @@
+whileLoopPwP' : {l : Level} {t : Set l} → (n : ℕ) → (env : Envc )
+    → (n ≡ varn env) → whileTestStateP s2 env
+    → (next : (env : Envc ) → (pred n ≡ varn env) → whileTestStateP s2 env  → t)
+    → (exit : (env : Envc ) → whileTestStateP sf env  → t) → t
+whileLoopPwP' zero env refl refl _ exit = exit env refl
+whileLoopPwP' (suc n) env refl refl next _ =
+    next (record env {varn = pred (varn env) ; vari = suc (vari env) }) refl (+-suc n (vari env))
+
+
+loopPwP' : {l : Level} {t : Set l} → (n : ℕ) → (env : Envc )
+    → (n ≡ varn env) → whileTestStateP s2 env
+    → (exit : (env : Envc ) → whileTestStateP sf env → t) → t
+loopPwP' zero env refl refl exit = exit env refl
+loopPwP' (suc n) env refl refl exit
+    = whileLoopPwP' (suc n) env refl refl (λ env x y → loopPwP' n env x y exit) exit