matita/matita/contribs/lambdadelta/basic_2/reduction/cnr_cir.ma

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  14
  15 include "basic_2/reduction/cpr_cir.ma".
  16 include "basic_2/reduction/cnr_crr.ma".
  17
  18 (* CONTEXT-SENSITIVE NORMAL TERMS *******************************************)
  19
  20 (* Main properties on context-sensitive irreducible terms *******************)
  21
  22 theorem cir_cnr: ∀L,T. L ⊢ 𝐈⦃T⦄ → L ⊢ 𝐍⦃T⦄.
  23 /2 width=3 by cpr_fwd_cir/ qed.
  24
  25 (* Main inversion lemmas on context-sensitive irreducible terms *************)
  26
  27 theorem cnr_inv_cir: ∀L,T. L ⊢ 𝐍⦃T⦄ → L ⊢ 𝐈⦃T⦄.
  28 /2 width=4 by cnr_inv_crr/ qed-.