]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/static_2/static/lsubr_drops.ma
some restyling ...
[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / lsubr_drops.ma
index 9257f34dc3e132c51bfaa12a188f15157b7e9984..4009cdd2988d51e4ab08d4e44b0024e05358a537 100644 (file)
@@ -21,10 +21,10 @@ include "static_2/static/lsubr.ma".
 
 (* Basic_2A1: includes: lsubr_fwd_drop2_pair *)
 lemma lsubr_fwd_drops2_bind: ∀L1,L2. L1 ⫃ L2 → 
 
 (* Basic_2A1: includes: lsubr_fwd_drop2_pair *)
 lemma lsubr_fwd_drops2_bind: ∀L1,L2. L1 ⫃ L2 → 
-                             ∀b,f,I,K2. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≘ K2.ⓘ{I} →
-                             ∨∨ ∃∃K1. K1 ⫃ K2 & ⬇*[b, f] L1 ≘ K1.ⓘ{I}
-                              | ∃∃K1,W,V. K1 ⫃ K2 & ⬇*[b, f] L1 ≘ K1.ⓓⓝW.V & I = BPair Abst W
-                              | ∃∃J1,J2,K1,V. K1 ⫃ K2 & ⬇*[b, f] L1 ≘ K1.ⓑ{J1}V & I = BUnit J2.
+                             ∀b,f,I,K2. 𝐔⦃f⦄ → ⬇*[b,f] L2 ≘ K2.ⓘ{I} →
+                             ∨∨ ∃∃K1. K1 ⫃ K2 & ⬇*[b,f] L1 ≘ K1.ⓘ{I}
+                              | ∃∃K1,W,V. K1 ⫃ K2 & ⬇*[b,f] L1 ≘ K1.ⓓⓝW.V & I = BPair Abst W
+                              | ∃∃J1,J2,K1,V. K1 ⫃ K2 & ⬇*[b,f] L1 ≘ K1.ⓑ{J1}V & I = BUnit J2.
 #L1 #L2 #H elim H -L1 -L2
 [ #b #f #I #K2 #_ #H
   elim (drops_inv_atom1 … H) -H #H destruct
 #L1 #L2 #H elim H -L1 -L2
 [ #b #f #I #K2 #_ #H
   elim (drops_inv_atom1 … H) -H #H destruct
@@ -42,8 +42,8 @@ qed-.
 
 (* Basic_2A1: includes: lsubr_fwd_drop2_abbr *)
 lemma lsubr_fwd_drops2_abbr: ∀L1,L2. L1 ⫃ L2 →
 
 (* Basic_2A1: includes: lsubr_fwd_drop2_abbr *)
 lemma lsubr_fwd_drops2_abbr: ∀L1,L2. L1 ⫃ L2 →
-                             ∀b,f,K2,V.  𝐔⦃f⦄ → ⬇*[b, f] L2 ≘ K2.ⓓV →
-                             ∃∃K1. K1 ⫃ K2 & ⬇*[b, f] L1 ≘ K1.ⓓV.
+                             ∀b,f,K2,V.  𝐔⦃f⦄ → ⬇*[b,f] L2 ≘ K2.ⓓV →
+                             ∃∃K1. K1 ⫃ K2 & ⬇*[b,f] L1 ≘ K1.ⓓV.
 #L1 #L2 #HL12 #b #f #K2 #V #Hf #HLK2
 elim (lsubr_fwd_drops2_bind … HL12 … Hf HLK2) -L2 -Hf // *
 [ #K1 #W #V #_ #_ #H destruct
 #L1 #L2 #HL12 #b #f #K2 #V #Hf #HLK2
 elim (lsubr_fwd_drops2_bind … HL12 … Hf HLK2) -L2 -Hf // *
 [ #K1 #W #V #_ #_ #H destruct