some renaming and reordering of variables

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lsubr_drops.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsubr_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsubr_drops.ma
index ca2154608a1725b4f0ce699ddba86c50bdf9ed98..3fc376a6ee441860e40cd8406983bc8e474792a6 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsubr_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsubr_drops.ma
@@ -21,22 +21,26 @@ include "basic_2/static/lsubr.ma".
 
 (* Basic_2A1: includes: lsubr_fwd_drop2_pair *)
 lemma lsubr_fwd_drops2_pair: ∀L1,L2. L1 ⫃ L2 → 
-                             ∀I,K2,W,c,f. 𝐔⦃f⦄ → ⬇*[c, f] L2 ≡ K2.ⓑ{I}W →
-                             (∃∃K1. K1 ⫃ K2 & ⬇*[c, f] L1 ≡ K1.ⓑ{I}W) ∨
-                             ∃∃K1,V. K1 ⫃ K2 & ⬇*[c, f] L1 ≡ K1.ⓓⓝW.V & I = Abst.
+                             ∀b,f,I,K2,W. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≡ K2.ⓑ{I}W →
+                             (∃∃K1. K1 ⫃ K2 & ⬇*[b, f] L1 ≡ K1.ⓑ{I}W) ∨
+                             ∃∃K1,V. K1 ⫃ K2 & ⬇*[b, f] L1 ≡ K1.ⓓⓝW.V & I = Abst.
 #L1 #L2 #H elim H -L1 -L2
-[ #L #I #K2 #W #c #f #_ #H
+[ #L #b #f #I #K2 #W #_ #H
   elim (drops_inv_atom1 … H) -H #H destruct
-| #J #L1 #L2 #V #HL12 #IHL12 #I #K2 #W #c #f #Hf #H
-  elim (drops_inv_pair1_isuni … Hf H) -H * #g #HLK2 try #H destruct [ -IHL12 | -HL12 ]
-  [ /4 width=4 by drops_refl, ex2_intro, or_introl/
-  | elim (IHL12 … HLK2) -IHL12 -HLK2 /2 width=3 by isuni_inv_next/ *
+| #J #L1 #L2 #V #HL12 #IH #b #f #I #K2 #W  #Hf #H
+  elim (drops_inv_pair1_isuni … Hf H) -Hf -H *
+  [ #Hf #H destruct -IH
+    /4 width=4 by drops_refl, ex2_intro, or_introl/
+  | #g #Hg #HLK2 #H destruct -HL12
+    elim (IH … Hg HLK2) -IH -Hg -HLK2 *
     /4 width=4 by drops_drop, ex3_2_intro, ex2_intro, or_introl, or_intror/
   ]
-| #L1 #L2 #V1 #V2 #HL12 #IHL12 #I #K2 #W #c #f #Hf #H
-  elim (drops_inv_pair1_isuni … Hf H) -H * #g #HLK2 try #H destruct [ -IHL12 | -HL12 ]
-  [ /4 width=4 by drops_refl, ex3_2_intro, or_intror/
-  | elim (IHL12 … HLK2) -IHL12 -HLK2 /2 width=3 by isuni_inv_next/ *
+| #L1 #L2 #V1 #V2 #HL12 #IH #b #f #I #K2 #W #Hf #H
+  elim (drops_inv_pair1_isuni … Hf H) -Hf -H *
+  [ #Hf #H destruct -IH
+    /4 width=4 by drops_refl, ex3_2_intro, or_intror/
+  | #g #Hg #HLK2 #H destruct -HL12
+    elim (IH … Hg HLK2) -IH -Hg -HLK2 *
     /4 width=4 by drops_drop, ex3_2_intro, ex2_intro, or_introl, or_intror/
   ]
 ]
@@ -44,9 +48,9 @@ qed-.
 
 (* Basic_2A1: includes: lsubr_fwd_drop2_abbr *)
 lemma lsubr_fwd_drops2_abbr: ∀L1,L2. L1 ⫃ L2 →
-                             ∀K2,V,c,f.  𝐔⦃f⦄ → ⬇*[c, f] L2 ≡ K2.ⓓV →
-                             ∃∃K1. K1 ⫃ K2 & ⬇*[c, f] L1 ≡ K1.ⓓV.
-#L1 #L2 #HL12 #K2 #V #c #f #Hf #HLK2
+                             ∀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_pair … HL12 … Hf HLK2) -L2 -Hf // *
 #K1 #W #_ #_ #H destruct
 qed-.