some improvements

[helm.git] / helm / software / matita / contribs / LAMBDA-TYPES / Unified-Sub / Lift / defs.ma

diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Unified-Sub/Lift/defs.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Unified-Sub/Lift/defs.ma
index eac00ae357c40fcba2723dd85f1b7e3067c7c325..131d65133a09328bd6c2adae8f54d2164877b5c2 100644 (file)
--- a/helm/software/matita/contribs/LAMBDA-TYPES/Unified-Sub/Lift/defs.ma
+++ b/helm/software/matita/contribs/LAMBDA-TYPES/Unified-Sub/Lift/defs.ma
@@ -20,27 +20,18 @@ set "baseuri" "cic:/matita/LAMBDA-TYPES/Unified-Sub/Lift/defs".
 
 include "Term/defs.ma".
 
-inductive Lift: Bool \to Nat \to Nat \to Term \to Term \to Prop \def
-   | lift_sort   : \forall l,q,i,h. 
-                   Lift q l i (leaf (sort h)) (leaf (sort h))
-   | lift_lref   : \forall l,i,j. 
-                   Lift false l i (leaf (lref j)) (leaf (lref j))
-   | lift_lref_lt: \forall l,i,j. j < i \to 
-                   Lift true l i (leaf (lref j)) (leaf (lref j))
-   | lift_lref_ge: \forall l,i,j1. i <= j1 \to
-                   \forall j2. (j1 + l == j2) \to
-                   Lift true l i (leaf (lref j1)) (leaf (lref j2))
-   | lift_bind   : \forall l,i,u1,u2. Lift true l i u1 u2 \to
-                   \forall q,t1,t2. Lift q l (succ i) t1 t2 \to 
-                   \forall r.
-                   Lift q l i (head q (bind r) u1 t1) (head q (bind r) u2 t2)
-   | lift_flat   : \forall l,i,u1,u2. Lift true l i u1 u2 \to
-                   \forall q,t1,t2. Lift q l i t1 t2 \to 
-                   \forall r.
-                   Lift q l i (head q (flat r) u1 t1) (head q (flat r) u2 t2)
-   | lift_head   : \forall l,q,p. (p = q \to False) \to
-                   \forall i,u1,u2. Lift false l i u1 u2 \to
-                   \forall t1,t2. Lift q l i t1 t2 \to 
-                   \forall z.
-                   Lift q l i (head p z u1 t1) (head p z u2 t2)
+inductive Lift (l: Nat): Nat \to Term \to Term \to Prop \def
+   | lift_sort   : \forall i,h. 
+                   Lift l i (leaf (sort h)) (leaf (sort h))
+   | lift_lref_gt: \forall i,j. i > j \to 
+                   Lift l i (leaf (lref j)) (leaf (lref j))
+   | lift_lref_le: \forall i,j1. i <= j1 \to
+                   \forall j2. (l + j1  == j2) \to
+                   Lift l i (leaf (lref j1)) (leaf (lref j2))
+   | lift_bind   : \forall i,u1,u2. Lift l i u1 u2 \to
+                   \forall t1,t2. Lift l (succ i) t1 t2 \to 
+                   \forall r. Lift l i (intb r u1 t1) (intb r u2 t2)
+   | lift_flat   : \forall i,u1,u2. Lift l i u1 u2 \to
+                   \forall t1,t2. Lift l i t1 t2 \to 
+                   \forall r. Lift l i (intf r u1 t1) (intf r u2 t2)
 .