--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/AgdaPushPopProof.agda	Tue Sep 08 18:38:08 2020 +0900
@@ -0,0 +1,11 @@
+id-meta : ℕ -> ℕ -> SingleLinkedStack ℕ -> Meta
+id-meta n e s = record { context = record {n = n ; element = just e}
+                       ; nextCS = (N.cs id) ; stack = s}
+
+push-pop-type : ℕ -> ℕ  -> ℕ -> Element ℕ -> Set₁
+push-pop-type n e x s = M.exec (M.csComp {meta} (M.cs popOnce) (M.cs pushOnce)) meta ≡ meta
+  where
+    meta = id-meta n e record {top = just (cons x (just s))}
+
+push-pop : (n e x : ℕ) -> (s : Element ℕ) ->  push-pop-type n e x s
+push-pop n e x s = refl