some renaming and reordering of variables

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/frees_frees.ma b/matita/matita/contribs/lambdadelta/basic_2/static/frees_frees.ma
index 4cf172a1c11404c1538e41715b6186f7e4233731..0b68c18cb5a962ebb1d212937f02e2a32723cd7e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/frees_frees.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/frees_frees.ma
@@ -18,23 +18,23 @@ include "basic_2/static/frees.ma".
 
 (* Main inversion lemmas ****************************************************)
 
-theorem frees_mono: ∀L,T,f1. L ⊢ 𝐅*⦃T⦄ ≡ f1 → ∀f2. L ⊢ 𝐅*⦃T⦄ ≡ f2 → f1 ≗ f2.
-#L #T #f1 #H elim H -L -T -f1
+theorem frees_mono: ∀f1,L,T. L ⊢ 𝐅*⦃T⦄ ≡ f1 → ∀f2. L ⊢ 𝐅*⦃T⦄ ≡ f2 → f1 ≗ f2.
+#f1 #L #T #H elim H -f1 -L -T
 [ /3 width=2 by frees_inv_atom, isid_inv_eq_repl/
 | /4 width=5 by frees_inv_sort, eq_push_inv_isid, isid_inv_eq_repl, eq_trans/
-| #I #L #V #f1 #_ #IH #x #H elim (frees_inv_zero … H) -H *
+| #f1 #I #L #V #_ #IH #x #H elim (frees_inv_zero … H) -H *
   [ #H destruct
-  | #Z #Y #X #f2 #Hf2 #H1 #H2 destruct /3 width=5 by eq_next/
+  | #f2 #Z #Y #X #Hf2 #H1 #H2 destruct /3 width=5 by eq_next/
   ]
-| #I #L #V #i #f1 #_ #IH #x #H elim (frees_inv_lref … H) -H *
+| #f1 #I #L #V #i #_ #IH #x #H elim (frees_inv_lref … H) -H *
   [ #H destruct
-  | #Z #Y #X #f2 #Hf2 #H1 #H2 destruct /3 width=5 by eq_push/
+  | #f2 #Z #Y #X #Hf2 #H1 #H2 destruct /3 width=5 by eq_push/
   ]
 | /4 width=5 by frees_inv_gref, eq_push_inv_isid, isid_inv_eq_repl, eq_trans/
-| #I #L #V #T #p #f1 #f2 #f #_ #_ #Hf #IHV #IHT #g #H elim (frees_inv_bind … H) -H
+| #f1 #f2 #f #p #I #L #V #T #_ #_ #Hf #IHV #IHT #g #H elim (frees_inv_bind … H) -H
   #g1 #g2 #HV #HT #Hg @(sor_mono … Hf) -Hf
   /5 width=3 by sor_eq_repl_fwd2, sor_eq_repl_fwd1, tl_eq_repl/ (**) (* full auto too slow *)
-| #I #L #V #T #f1 #f2 #f #_ #_ #Hf #IHV #IHT #g #H elim (frees_inv_flat … H) -H
+| #f1 #f2 #f #I #L #V #T #_ #_ #Hf #IHV #IHT #g #H elim (frees_inv_flat … H) -H
   #g1 #g2 #HV #HT #Hg @(sor_mono … Hf) -Hf
   /4 width=3 by sor_eq_repl_fwd2, sor_eq_repl_fwd1/ (**) (* full auto too slow *)
 ]