some restyling ...

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / syntax / lveq_lveq.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/lveq_lveq.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/lveq_lveq.ma
index 8ac40a55f43b23f89d44ae1dc35381a7358507bd..c0c8cf1abfba2c9b32f208839e8351ccb7bcb663 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/syntax/lveq_lveq.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/syntax/lveq_lveq.ma
@@ -18,16 +18,16 @@ include "static_2/syntax/lveq_length.ma".
 
 (* Main inversion lemmas ****************************************************)
 
-theorem lveq_inv_bind: ∀K1,K2. K1 ≋ⓧ*[0, 0] K2 →
-                       ∀I1,I2,m1,m2. K1.ⓘ{I1} ≋ⓧ*[m1, m2] K2.ⓘ{I2} →
+theorem lveq_inv_bind: ∀K1,K2. K1 ≋ⓧ*[0,0] K2 →
+                       ∀I1,I2,m1,m2. K1.ⓘ{I1} ≋ⓧ*[m1,m2] K2.ⓘ{I2} →
                        ∧∧ 0 = m1 & 0 = m2.
 #K1 #K2 #HK #I1 #I2 #m1 #m2 #H
 lapply (lveq_fwd_length_eq … HK) -HK #HK
 elim (lveq_inj_length … H) -H normalize /3 width=1 by conj, eq_f/
 qed-.
 
-theorem lveq_inj: ∀L1,L2,n1,n2. L1 ≋ⓧ*[n1, n2] L2 →
-                  ∀m1,m2. L1 ≋ⓧ*[m1, m2] L2 →
+theorem lveq_inj: ∀L1,L2,n1,n2. L1 ≋ⓧ*[n1,n2] L2 →
+                  ∀m1,m2. L1 ≋ⓧ*[m1,m2] L2 →
                   ∧∧ n1 = m1 & n2 = m2.
 #L1 #L2 #n1 #n2 #Hn #m1 #m2 #Hm
 elim (lveq_fwd_length … Hn) -Hn #H1 #H2 destruct
@@ -36,8 +36,8 @@ elim (lveq_fwd_length … Hm) -Hm #H1 #H2 destruct
 qed-.
 
 theorem lveq_inj_void_sn_ge: ∀K1,K2. |K2| ≤ |K1| →
-                             ∀n1,n2. K1 ≋ⓧ*[n1, n2] K2 →
-                             ∀m1,m2. K1.ⓧ ≋ⓧ*[m1, m2] K2 →
+                             ∀n1,n2. K1 ≋ⓧ*[n1,n2] K2 →
+                             ∀m1,m2. K1.ⓧ ≋ⓧ*[m1,m2] K2 →
                              ∧∧ ↑n1 = m1 & 0 = m2 & 0 = n2.
 #L1 #L2 #HL #n1 #n2 #Hn #m1 #m2 #Hm
 elim (lveq_fwd_length … Hn) -Hn #H1 #H2 destruct
@@ -47,7 +47,7 @@ elim (lveq_fwd_length … Hm) -Hm #H1 #H2 destruct
 qed-.
 
 theorem lveq_inj_void_dx_le: ∀K1,K2. |K1| ≤ |K2| →
-                             ∀n1,n2. K1 ≋ⓧ*[n1, n2] K2 →
-                             ∀m1,m2. K1 ≋ⓧ*[m1, m2] K2.ⓧ →
+                             ∀n1,n2. K1 ≋ⓧ*[n1,n2] K2 →
+                             ∀m1,m2. K1 ≋ⓧ*[m1,m2] K2.ⓧ →
                              ∧∧ ↑n2 = m2 & 0 = m1 & 0 = n1.
 /3 width=5 by lveq_inj_void_sn_ge, lveq_sym/ qed-. (* auto: 2x lveq_sym *)