- we removed the reduction-related item categorization

[helm.git] / matita / matita / lib / lambda-delta / substitution / thin.ma

diff --git a/matita/matita/lib/lambda-delta/substitution/thin.ma b/matita/matita/lib/lambda-delta/substitution/thin.ma
index ab1c5f2717e472a25108c32dc7abc987c9fdd83c..96432922dc5d1dd29ededb2e0d2fdd912ed754cd 100644 (file)
--- a/matita/matita/lib/lambda-delta/substitution/thin.ma
+++ b/matita/matita/lib/lambda-delta/substitution/thin.ma
@@ -14,12 +14,11 @@ include "lambda-delta/substitution/subst.ma".
 (* THINNING *****************************************************************)
 
 inductive thin: lenv → nat → nat → lenv → Prop ≝
-   | thin_refl: ∀L. thin L 0 0 L
-   | thin_thin: ∀L1,L2,I,V,e.
-                thin L1 0 e L2 → thin (L1. ♭I V) 0 (e + 1) L2
-   | thin_skip: ∀L1,L2,I,V1,V2,d,e.
-                thin L1 d e L2 → L1 ⊢ ↓[d,e] V1 ≡ V2 →
-                thin (L1. ♭I V1) (d + 1) e (L2. ♭I V2)
+| thin_refl: ∀L. thin L 0 0 L
+| thin_thin: ∀L1,L2,I,V,e. thin L1 0 e L2 → thin (L1. 𝕓{I} V) 0 (e + 1) L2
+| thin_skip: ∀L1,L2,I,V1,V2,d,e.
+             thin L1 d e L2 → L1 ⊢ ↓[d,e] V1 ≡ V2 →
+             thin (L1. 𝕓{I} V1) (d + 1) e (L2. 𝕓{I} V2)
 .
 
 interpretation "thinning" 'RSubst L1 d e L2 = (thin L1 d e L2).
@@ -30,6 +29,6 @@ axiom thin_conf_ge: ∀d1,e1,L,L1. ↓[d1,e1] L ≡ L1 →
                     ∀e2,L2. ↓[0,e2] L ≡ L2 → d1 + e1 ≤ e2 → ↓[0,e2-e1] L1 ≡ L2.
 
 axiom thin_conf_lt: ∀d1,e1,L,L1. ↓[d1,e1] L ≡ L1 →
-                    ∀e2,K2,I,V2. ↓[0,e2] L ≡ K2. ♭I V2 →
+                    ∀e2,K2,I,V2. ↓[0,e2] L ≡ K2. 𝕓{I} V2 →
                     e2 < d1 → let d ≝ d1 - e2 - 1 in
-                    ∃∃K1,V1. ↓[0,e2] L1 ≡ K1. ♭I V1 & ↓[d,e1] K2 ≡ K1 & ↑[d,e1] V1 ≡ V2.
+                    ∃∃K1,V1. ↓[0,e2] L1 ≡ K1. 𝕓{I} V1 & ↓[d,e1] K2 ≡ K1 & ↑[d,e1] V1 ≡ V2.