lambdadelta

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / grammar / cl_weight.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/grammar/cl_weight.ma b/matita/matita/contribs/lambdadelta/basic_2/grammar/cl_weight.ma
index 35796b6ba78ed0c2d3b1c1400b8a05decf0a6a74..66c8d0fb7c45d319b82f75be2e47e09e0816b0d7 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/grammar/cl_weight.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/grammar/cl_weight.ma
@@ -12,6 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/notation/functions/weight_2.ma".
 include "basic_2/grammar/lenv_weight.ma".
 include "basic_2/grammar/cl_shift.ma".
 
@@ -28,12 +29,6 @@ lemma fw_shift: ∀a,K,I,V,T. ♯{K. ⓑ{I} V, T} < ♯{K, ⓑ{a,I} V. T}.
 normalize //
 qed.
 
-lemma tw_shift: ∀L,T. ♯{L, T} ≤ ♯{L @@ T}.
-#L elim L //
-#K #I #V #IHL #T
-@transitive_le [3: @IHL |2: /2 width=2/ | skip ]
-qed.
-
 lemma fw_tpair_sn: ∀I,L,V,T. ♯{L, V} < ♯{L, ②{I}V.T}.
 normalize in ⊢ (?→?→?→?→?%%); //
 qed.
@@ -42,22 +37,12 @@ lemma fw_tpair_dx: ∀I,L,V,T. ♯{L, T} < ♯{L, ②{I}V.T}.
 normalize in ⊢ (?→?→?→?→?%%); //
 qed.
 
-lemma fw_tpair_dx_sn: ∀I1,I2,L,V1,V2,T. ♯{L, V2} < ♯{L, ②{I1}V1.②{I2}V2.T}.
-normalize in ⊢ (?→?→?→?→?→?→?%%); /2 width=1/
-qed.
-
-lemma fw_tpair_sn_sn_shift: ∀I,I1,I2,L,V1,V2,T.
-                            ♯{L.ⓑ{I}V1, T} < ♯{L, ②{I1}V1.②{I2}V2.T}.
-normalize in ⊢ (?→?→?→?→?→?→?→?%%); /3 width=1/
-qed.
-
-lemma fw_tpair_sn_dx_shift: ∀I,I1,I2,L,V1,V2,T.
-                            ♯{L.ⓑ{I}V2, T} < ♯{L, ②{I1}V1.②{I2}V2.T}.
-normalize in ⊢ (?→?→?→?→?→?→?→?%%); /2 width=1/
+lemma fw_lpair_sn: ∀I,L,V,T. ♯{L, V} < ♯{L.ⓑ{I}V, T}.
+normalize /3 width=1 by monotonic_lt_plus_l, monotonic_le_plus_r/ (**) (* auto too slow without trace *)
 qed.
 
 (* Basic_1: removed theorems 7:
-            flt_thead_sx flt_thead_dx flt_arith0 flt_arith1 flt_arith2 flt_trans
-            flt_wf_ind
+            flt_thead_sx flt_thead_dx flt_trans
+            flt_arith0 flt_arith1 flt_arith2 flt_wf_ind
 *)
 (* Basic_1: removed local theorems 1: q_ind *)