X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Flfpx.ma;h=910324e69db576e02327b99c67c5e17bd7ed4699;hb=47a745462a714af9d65cea7b61af56524bd98fa1;hp=ac9ac42aa00af1045ccd2cb90f7c644cbd0ea90d;hpb=21827c7db90ddb4fd30adec6becd94e201898f9c;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx.ma
index ac9ac42aa..910324e69 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx.ma
@@ -67,14 +67,7 @@ lemma lfpx_inv_sort: ∀h,G,Y1,Y2,s. ⦃G, Y1⦄ ⊢ ⬈[h, ⋆s] Y2 →
                       | ∃∃I1,I2,L1,L2. ⦃G, L1⦄ ⊢ ⬈[h, ⋆s] L2 &
                                        Y1 = L1.ⓘ{I1} & Y2 = L2.ⓘ{I2}.
 /2 width=1 by lfxs_inv_sort/ qed-.
-(*
-lemma lfpx_inv_zero: ∀h,G,Y1,Y2. ⦃G, Y1⦄ ⊢ ⬈[h, #0] Y2 →
-                     (Y1 = ⋆ ∧ Y2 = ⋆) ∨
-                     ∃∃I,L1,L2,V1,V2. ⦃G, L1⦄ ⊢ ⬈[h, V1] L2 &
-                                      ⦃G, L1⦄ ⊢ V1 ⬈[h] V2 &
-                                      Y1 = L1.ⓑ{I}V1 & Y2 = L2.ⓑ{I}V2.
-/2 width=1 by lfxs_inv_zero/ qed-.
-*)
+
 lemma lfpx_inv_lref: ∀h,G,Y1,Y2,i. ⦃G, Y1⦄ ⊢ ⬈[h, #⫯i] Y2 →
                      ∨∨ Y1 = ⋆ ∧ Y2 = ⋆
                       | ∃∃I1,I2,L1,L2. ⦃G, L1⦄ ⊢ ⬈[h, #i] L2 &
@@ -88,11 +81,11 @@ lemma lfpx_inv_gref: ∀h,G,Y1,Y2,l. ⦃G, Y1⦄ ⊢ ⬈[h, §l] Y2 →
 /2 width=1 by lfxs_inv_gref/ qed-.
 
 lemma lfpx_inv_bind: ∀h,p,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈[h, ⓑ{p,I}V.T] L2 →
-                     ⦃G, L1⦄ ⊢ ⬈[h, V] L2 ∧ ⦃G, L1.ⓑ{I}V⦄ ⊢ ⬈[h, T] L2.ⓑ{I}V.
+                     ∧∧ ⦃G, L1⦄ ⊢ ⬈[h, V] L2 & ⦃G, L1.ⓑ{I}V⦄ ⊢ ⬈[h, T] L2.ⓑ{I}V.
 /2 width=2 by lfxs_inv_bind/ qed-.
 
 lemma lfpx_inv_flat: ∀h,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈[h, ⓕ{I}V.T] L2 →
-                     ⦃G, L1⦄ ⊢ ⬈[h, V] L2 ∧ ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
+                     ∧∧ ⦃G, L1⦄ ⊢ ⬈[h, V] L2 & ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
 /2 width=2 by lfxs_inv_flat/ qed-.
 
 (* Advanced inversion lemmas ************************************************)