claudio, please have a look at this

[helm.git] / helm / software / matita / tests / ng_elim.ma

diff --git a/helm/software/matita/tests/ng_elim.ma b/helm/software/matita/tests/ng_elim.ma
index c3b3d09bca282ee37756171bbe539602924ce191..c8998a22795d4b63a3e8e45c3f4626fe7dd7ef68 100644 (file)
--- a/helm/software/matita/tests/ng_elim.ma
+++ b/helm/software/matita/tests/ng_elim.ma
@@ -12,6 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "ng_pts.ma".
+
 ninductive nat: Type ≝
    O: nat
  | S: nat → nat.
@@ -26,6 +28,17 @@ nlet rec nat_rec (Q: nat → Type) H_O H_S x_1 on x_1 : Q x_1 ≝
   | S x_2 ⇒ H_S x_2 (nat_rec Q H_O H_S x_2)
   ].
 
+
+ninductive ord: Type ≝
+   OO: ord
+ | OS: ord → ord
+ | OLim: (nat → ord) → ord.
+
+nlet rec ord_rect (Q_: (∀ (x_3: (ord)).Type)) H_OO H_OS H_OLim x_3 on x_3: (Q_ x_3) ≝
+ (match x_3 with [OO ⇒ (H_OO) | (OS x_4) ⇒ (H_OS x_4 (ord_rect Q_ H_OO H_OS H_OLim (x_4))) | (OLim x_6) ⇒ (H_OLim x_6 (λx_5.(ord_rect Q_ H_OO H_OS H_OLim (x_6 x_5))))]).
+
+
+
 naxiom P: nat → Prop.
 naxiom p: ∀m. P m.
 
@@ -37,8 +50,7 @@ nlet rec le_rect n N (Q_: (∀ m.(∀ x_4.(∀ (x_3: (le n N m x_4)).Type)))) H_
  on x_3: (Q_ m x_4 x_3) ≝ 
 (match x_3 with [len ⇒ (H_len) | (leS m q x_5) ⇒ (H_leS m q x_5 (le_rect n N Q_ H_len H_leS ? ? x_5))]).
 
-
-
+(*
 nlet rec le_rec' (n:nat) (Q: ∀D1:nat.∀D2: P D1. le n D1 D2 → Type) (p1: ?) (p2: ?) (D1:nat) (D2:P D1) (x: le n D1 D2) on x : Q D1 D2 x ≝
  match x with
   [ len ⇒ p1
@@ -52,4 +64,15 @@ nlet rec le_rec (n:nat) (Q: ∀D1:nat.∀D2: P D1. le n D1 D2 → Type) (p1: ?)
        ##]
  ## |##*: ## skip;
  ## ]
-nqed.
\ No newline at end of file
+nqed.*)
+
+ninductive list (A:Type) : nat → Type ≝
+   nil: list A O
+ | cons: ∀n. A → list A n → list A (S n).
+
+ninductive ii: Type ≝
+ kk: list ii O → ii.
+
+nlet rec ii_rect (Q_: (∀(x_16: ii).Type)) H_kknil H_kkcons x_16 on x_16: (Q_ x_16) ≝
+ (match x_16 with
+  [ kk x_17 ⇒ list_rect ii (λx_17.Q_ (kk x_17)) H_kknil (λw.H_kkcons w (ii_rect Q_ H_kknil H_kkcons w)) x_17 ]).
\ No newline at end of file