Merge remote-tracking branch 'origin/ld-0.99.3'

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_cpce_etc.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce_etc.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce_etc.ma
deleted file mode 100644 (file)
index 2a899b2..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce_etc.ma
+++ /dev/null
@@ -1,51 +0,0 @@
-
-include "basic_2/dynamic/cnv_cpce.ma".
-
-definition dropable_bi: predicate … ≝
-           λR. ∀L1,L2. L1 ⪤[R] L2 → ∀b,f. 𝐔⦃f⦄ →
-           ∀K1. ⇩*[b,f] L1 ≘ K1 → ∀K2. ⇩*[b,f] L2 ≘ K2 → K1 ⪤[R] K2.
-
-definition IH (h) (a): relation3 genv lenv term ≝
-           λG,L0,T0. ⦃G,L0⦄ ⊢ T0 ![h,a] →
-           ∀n,T1. ⦃G,L0⦄ ⊢ T0 ➡[n,h] T1 → ∀T2. ⦃G,L0⦄ ⊢ T0 ⬌η[h] T2 →
-           ∀L1. ⦃G,L0⦄ ⊢ ➡[h] L1 →
-           ∃∃T. ⦃G,L1⦄ ⊢ T1 ⬌η[h] T & ⦃G,L0⦄ ⊢ T2 ➡[n,h] T.
-
-lemma pippo_aux (h) (a) (G0) (L0) (T0):
-                (∀G,L,T. ⦃G0,L0,T0⦄ >[h] ⦃G,L,T⦄ → IH h a G L T) →
-                IH h a G0 L0 T0.
-#h #a #G0 #L0 * *
-[ #s #_ #_ #n #X1 #HX1 #X2 #HX2 #L1 #HL01
-  elim (cpm_inv_sort1 … HX1) -HX1 #H #Hn destruct
-  lapply (cpce_inv_sort_sn … HX2) -HX2 #H destruct
-  /3 width=3 by cpce_sort, cpm_sort, ex2_intro/
-| #i #IH #Hi #n #X1 #HX1 #X2 #HX2 #L1 #HL01
-  elim (cnv_inv_lref_drops … Hi) -Hi #I #K0 #W0 #HLK0 #HW0
-  elim (lpr_drops_conf … HLK0 … HL01) [| // ] #Y1 #H1 #HLK1
-  elim (lex_inv_pair_sn … H1) -H1 #K1 #W1 #HK01 #HW01 #H destruct
-  elim (cpce_inv_lref_sn_drops … HX2 … HLK0) -HX2 *
-  [ #HI #H destruct
-    elim (cpm_inv_lref1_drops … HX1) -HX1 *
-    [ #H1 #H2 destruct -HW0 -HLK0 -IH
-      @(ex2_intro … (#i)) [| // ]
-      @cpce_zero_drops #n #p #Y1 #X1 #V1 #U1 #HLY1 #HWU1
-      lapply (drops_mono … HLY1 … HLK1) -L1 #H2 destruct
-      /4 width=12 by lpr_cpms_trans, cpms_step_sn/
-    | #Y0 #W0 #W1 #HLY0 #HW01 #HWX1 -HI -HW0 -IH
-      lapply (drops_mono … HLY0 … HLK0) -HLY0 #H destruct
-      @(ex2_intro … X1) [| /2 width=6 by cpm_delta_drops/ ]
-
-
-(*
-lemma cpce_inv_eta_drops (h) (n) (G) (L) (i):
-      ∀X. ⦃G,L⦄ ⊢ #i ⬌η[h] X →
-      ∀K,W. ⇩*[i] L ≘ K.ⓛW →
-      ∀p,V1,U. ⦃G,K⦄ ⊢ W ➡*[n,h] ⓛ{p}V1.U →
-      ∀V2. ⦃G,K⦄ ⊢ V1 ⬌η[h] V2 →
-      ∀W2. ⇧*[↑i] V2 ≘ W2 → X = +ⓛW2.ⓐ#0.#↑i.
-
-theorem cpce_mono_cnv (h) (a) (G) (L):
-        ∀T. ⦃G,L⦄ ⊢ T ![h,a] →
-        ∀T1. ⦃G,L⦄ ⊢ T ⬌η[h] T1 → ∀T2. ⦃G,L⦄ ⊢ T ⬌η[h] T2 → T1 = T2.
-#h #a #G #L #T #HT
-*)