partial update in static_2

[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 6966715c4202ad3fb716de9cd84218785b8aecc9..83b9bc787722484386c60b71fe8d87fbe9e9cfe4 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/syntax/lveq_lveq.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/syntax/lveq_lveq.ma
@@ -18,12 +18,12 @@ include "static_2/syntax/lveq_length.ma".
 
 (* Main inversion lemmas ****************************************************)
 
-theorem lveq_inv_bind: ∀K1,K2. K1 ≋ⓧ*[0,0] K2 →
+theorem lveq_inv_bind: ∀K1,K2. K1 ≋ⓧ*[𝟎,𝟎] K2 →
                        ∀I1,I2,m1,m2. K1.ⓘ[I1] ≋ⓧ*[m1,m2] K2.ⓘ[I2] →
-                       ∧∧ 0 = m1 & 0 = m2.
+                       ∧∧ 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/
+elim (lveq_inj_length … H) -H /3 width=1 by conj/
 qed-.
 
 theorem lveq_inj: ∀L1,L2,n1,n2. L1 ≋ⓧ*[n1,n2] L2 →
@@ -38,16 +38,17 @@ qed-.
 theorem lveq_inj_void_sn_ge: ∀K1,K2. |K2| ≤ |K1| →
                              ∀n1,n2. K1 ≋ⓧ*[n1,n2] K2 →
                              ∀m1,m2. K1.ⓧ ≋ⓧ*[m1,m2] K2 →
-                             ∧∧ ↑n1 = m1 & 0 = m2 & 0 = n2.
+                             ∧∧ ↑n1 = m1 & 𝟎 = m2 & 𝟎 = n2.
 #L1 #L2 #HL #n1 #n2 #Hn #m1 #m2 #Hm
 elim (lveq_fwd_length … Hn) -Hn #H1 #H2 destruct
 elim (lveq_fwd_length … Hm) -Hm #H1 #H2 destruct
->length_bind >nminus_succ_dx >(nle_inv_eq_zero_minus … HL)
-/3 width=4 by nminus_plus_comm_23, and3_intro/
+>length_bind <nminus_succ_dx
+<(nminus_succ_sn … HL) <(nle_inv_eq_zero_minus … HL)
+/2 width=1 by and3_intro/
 qed-.
 
 theorem lveq_inj_void_dx_le: ∀K1,K2. |K1| ≤ |K2| →
                              ∀n1,n2. K1 ≋ⓧ*[n1,n2] K2 →
                              ∀m1,m2. K1 ≋ⓧ*[m1,m2] K2.ⓧ →
-                             ∧∧ ↑n2 = m2 & 0 = m1 & 0 = n1.
+                             ∧∧ ↑n2 = m2 & 𝟎 = m1 & 𝟎 = n1.
 /3 width=5 by lveq_inj_void_sn_ge, lveq_sym/ qed-. (* auto: 2x lveq_sym *)