matita/matita/contribs/lambdadelta/basic_2/etc/lsubss/sstas_lsubss.etc

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  14
  15 include "basic_2/static/lsubss_ssta.ma".
  16 include "basic_2/unwind/sstas.ma".
  17
  18 (* ITERATED STRATIFIED STATIC TYPE ASSIGNMENT FOR TERMS *********************)
  19
  20 (* Properties on lenv ref for stratified type assignment ********************)
  21
  22 lemma lsubss_sstas_trans: ∀h,g,L2,T,U. ⦃h, L2⦄ ⊢ T •*[g] U →
  23                           ∀L1. h ⊢ L1 •⊑[g] L2 → ⦃h, L1⦄ ⊢ T •*[g] U.
  24 #h #g #L2 #T #U #H @(sstas_ind_dx … H) -T // /3 width=5/
  25 qed.
  26
  27 lemma lsubss_sstas_conf: ∀h,g,L1,T,U. ⦃h, L1⦄ ⊢ T •*[g] U →
  28                          ∀L2. h ⊢ L1 •⊑[g] L2 → ⦃h, L2⦄ ⊢ T •*[g] U.
  29 #h #g #L2 #T #U #H @(sstas_ind_dx … H) -T // /3 width=5/
  30 qed.