some restyling ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_drops.ma
index c7c28703669fb4fde68ed1cc7cdde314bcef77ab..afd2d3fda6e7a341cdcbf2407faf3e6d49899f4f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_drops.ma
@@ -19,27 +19,27 @@ include "basic_2/rt_transition/cpm_drops.ma".
 (* Advanced inversion lemmas ************************************************)
 
 (* Basic_2A1: includes: cpr_inv_atom1 *)
-lemma cpr_inv_atom1_drops: ∀h,I,G,L,T2. ⦃G, L⦄ ⊢ ⓪{I} ➡[h] T2 →
-                           T2 = ⓪{I} ∨
-                           ∃∃K,V,V2,i. ⬇*[i] L ≡ K.ⓓV & ⦃G, K⦄ ⊢ V ➡[h] V2 &
-                                       ⬆*[⫯i] V2 ≡ T2 & I = LRef i.
+lemma cpr_inv_atom1_drops: ∀h,I,G,L,T2. ⦃G,L⦄ ⊢ ⓪{I} ➡[h] T2 →
+                           ∨∨ T2 = ⓪{I}
+                            | ∃∃K,V,V2,i. ⬇*[i] L ≘ K.ⓓV & ⦃G,K⦄ ⊢ V ➡[h] V2 &
+                                          ⬆*[↑i] V2 ≘ T2 & I = LRef i.
 #h #I #G #L #T2 #H elim (cpm_inv_atom1_drops … H) -H *
 [ /2 width=1 by or_introl/
 | #s #_ #_ #H destruct
 | /3 width=8 by ex4_4_intro, or_intror/
-| #k #K #V1 #V2 #i #_ #_ #_ #_ #H destruct
+| #m #K #V1 #V2 #i #_ #_ #_ #_ #H destruct
 ]
 qed-.
 
 (* Basic_1: includes: pr0_gen_lref pr2_gen_lref *)
 (* Basic_2A1: includes: cpr_inv_lref1 *)
-lemma cpr_inv_lref1_drops: ∀h,G,L,T2,i. ⦃G, L⦄ ⊢ #i ➡[h] T2 →
-                           T2 = #i ∨
-                           ∃∃K,V,V2. ⬇*[i] L ≡ K. ⓓV & ⦃G, K⦄ ⊢ V ➡[h] V2 &
-                                     ⬆*[⫯i] V2 ≡ T2.
+lemma cpr_inv_lref1_drops: ∀h,G,L,T2,i. ⦃G,L⦄ ⊢ #i ➡[h] T2 →
+                           ∨∨ T2 = #i
+                            | ∃∃K,V,V2. ⬇*[i] L ≘ K. ⓓV & ⦃G,K⦄ ⊢ V ➡[h] V2 &
+                                        ⬆*[↑i] V2 ≘ T2.
 #h #G #L #T2 #i #H elim (cpm_inv_lref1_drops … H) -H *
 [ /2 width=1 by or_introl/
 | /3 width=6 by ex3_3_intro, or_intror/
-| #k #K #V1 #V2 #_ #_ #_ #H destruct
+| #m #K #V1 #V2 #_ #_ #_ #H destruct
 ]
 qed-.