matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_simple.ma

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  14
  15 include "basic_2/rt_transition/cpg_simple.ma".
  16 include "basic_2/rt_transition/cpm.ma".
  17
  18 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
  19
  20 (* Properties with simple terms *********************************************)
  21
  22 (* Basic_2A1: includes: cpr_inv_appl1_simple *)
  23 lemma cpm_inv_appl1_simple: ∀n,h,G,L,V1,T1,U. ⦃G,L⦄ ⊢ ⓐV1.T1 ➡[n,h] U → 𝐒⦃T1⦄ →
  24                             ∃∃V2,T2. ⦃G,L⦄ ⊢ V1 ➡[h] V2 & ⦃G,L⦄ ⊢ T1 ➡[n,h] T2 &
  25                                      U = ⓐV2.T2.
  26 #n #h #G #L #V1 #T1 #U * #c #Hc #H #HT1 elim (cpg_inv_appl1_simple … H HT1) -H -HT1
  27 #cV #cT #V2 #T2 #HV12 #HT12 #H1 #H2 destruct elim (isrt_inv_max … Hc) -Hc
  28 #nV #nT #HnV #HnT #H destruct elim (isrt_inv_shift … HnV) -HnV
  29 #HnV #H destruct /3 width=5 by ex3_2_intro, ex2_intro/
  30 qed-.