diff --git a/Algo/CM/CM du 04 octobre.md b/Algo/CM/CM du 04 octobre.md
index 244d9cc..3cde621 100644
--- a/Algo/CM/CM du 04 octobre.md	
+++ b/Algo/CM/CM du 04 octobre.md	
@@ -28,4 +28,30 @@ That an consistency, because the two `nth`axioms are contradictory
 
 The completeness is when we have enough axioms for our abstract type
 
-To use partial operations we have to create some preconditions
\ No newline at end of file
+To use partial operations we have to create some preconditions
+
+```
+Types
+	vector
+Uses
+	integer, element, boolean
+Operations
+	Vect: integer x integer -> vector /* internal operation */
+	Modify : vector x integer x element -> vector /*internal operation*/
+	Nth: vector x integer -> element /* Observers */
+	isint: vector x integer -> boolean
+	Lowerlimit: vector -> integer /* Observers */
+	Upperlimit: vector -> integer /* Observers */
+
+Preconditions
+	nth(v,i) is-defined-iaoi lowerlimit(v) =< (i) =< upperlimit(v) & isinit(v,i) = true
+
+Axioms
+	lowerlimit(v) =< i =< upperlimit(v) -> nth(modify(v,i,e), i) = e
+	lowerlimit(v) =< i =< upperlimit(v) & lowerlimit(v) =< j =< upperlimit(v) & i≠j -> nth(modifiy(v,i,e), j) = nth(v,j)
+	isinit(vect(i,j),k)= false
+	lowerlimit(v) =< i =< upperlimit(v) -> isinit(modifiy(v,i,e),i)= true
+	... (all the other axioms)
+```
+Here, `nth`is a partial operation and `isinit` is a auxiliary operation
+