matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cny/cpys_cny.etc

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  14
  15 include "basic_2/relocation/cny.ma".
  16 include "basic_2/substitution/cpys.ma".
  17
  18 (* CONTEXT-SENSITIVE EXTENDED MULTIPLE SUBSTITUTION FOR TERMS ***************)
  19
  20 (* Inversion lemmas on normality for extended substitution ******************)
  21
  22 lemma cpys_inv_cny1: ∀G,L,T1,d,e. ⦃G, L⦄ ⊢ ▶[d, e] 𝐍⦃T1⦄ →
  23                      ∀T2. ⦃G, L⦄ ⊢ T1 ▶*[d, e] T2 → T1 = T2.
  24 #G #L #T1 #d #e #HT1 #T2 #H @(cpys_ind … H) -T2 //
  25 #T #T2 #_ #HT2 #IHT1 destruct <(HT1 … HT2) -T //
  26 qed-.