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[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 3ef667bdb2a53c62eb79b1bc95f31d0867fc596b..dfded53ee2ed82759aa93e1b078c40c0d9018806 100644 (file)
--- a/helm/software/matita/tests/ng_elim.ma
+++ b/helm/software/matita/tests/ng_elim.ma
@@ -48,8 +48,7 @@ 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
@@ -63,4 +62,15 @@ 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