- exclusion binder in local environments

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lfpr_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_drops.ma
index 7d23f3b0f8cf5e829d601db46e2c8012da168b1a..4b531bf74c86e1841f7756a29753be6f2d1fb1e2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_drops.ma
@@ -20,21 +20,24 @@ include "basic_2/rt_transition/lfpr.ma".
 
 (* Properties with generic slicing for local environments *******************)
 
+(* Basic_2A1: uses: drop_lpr_trans *)
 lemma drops_lfpr_trans: ∀h,G. dedropable_sn (cpm 0 h G).
 /3 width=6 by lfxs_liftable_dedropable_sn, cpm_lifts_sn/ qed-.
 
 (* Inversion lemmas with generic slicing for local environments *************)
 
+(* Basic_2A1: uses: lpr_drop_conf *)
 lemma lfpr_drops_conf: ∀h,G. dropable_sn (cpm 0 h G).
 /2 width=5 by lfxs_dropable_sn/ qed-.
 
+(* Basic_2A1: uses: lpr_drop_trans_O1 *)
 lemma lfpr_drops_trans: ∀h,G. dropable_dx (cpm 0 h G).
 /2 width=5 by lfxs_dropable_dx/ qed-.
 
-lemma lfpr_inv_lref_sn: ∀h,G,L1,L2,i. ⦃G, L1⦄ ⊢ ➡[h, #i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 →
-                        ∃∃K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 & ⦃G, K1⦄ ⊢ ➡[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ➡[h] V2.
-/2 width=3 by lfxs_inv_lref_sn/ qed-.
+lemma lfpr_inv_lref_pair_sn: ∀h,G,L1,L2,i. ⦃G, L1⦄ ⊢ ➡[h, #i] L2 → ∀I,K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 →
+                             ∃∃K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 & ⦃G, K1⦄ ⊢ ➡[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ➡[h] V2.
+/2 width=3 by lfxs_inv_lref_pair_sn/ qed-.
 
-lemma lfpr_inv_lref_dx: ∀h,G,L1,L2,i. ⦃G, L1⦄ ⊢ ➡[h, #i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 →
-                        ∃∃K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 & ⦃G, K1⦄ ⊢ ➡[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ➡[h] V2.
-/2 width=3 by lfxs_inv_lref_dx/ qed-.
+lemma lfpr_inv_lref_pair_dx: ∀h,G,L1,L2,i. ⦃G, L1⦄ ⊢ ➡[h, #i] L2 → ∀I,K2,V2. ⬇*[i] L2 ≡ K2.ⓑ{I}V2 →
+                             ∃∃K1,V1. ⬇*[i] L1 ≡ K1.ⓑ{I}V1 & ⦃G, K1⦄ ⊢ ➡[h, V1] K2 & ⦃G, K1⦄ ⊢ V1 ➡[h] V2.
+/2 width=3 by lfxs_inv_lref_pair_dx/ qed-.