]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/reduction/lpr.ma
- the relation for pointwise extensions now takes a binder as argument
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / lpr.ma
index 7636e38e6dae55443493ae744a8cc85f267aacb3..fd05f6373d0e0716147d4e3455bbd1630480025b 100644 (file)
 (**************************************************************************)
 
 include "basic_2/notation/relations/predsn_3.ma".
-include "basic_2/grammar/lpx_sn.ma".
+include "basic_2/relocation/lpx_sn.ma".
 include "basic_2/reduction/cpr.ma".
 
 (* SN PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS *****************************)
 
-definition lpr: relation3 genv lenv lenv ≝ λG. lpx_sn (cpr G).
+definition lpr: relation3 genv lenv lenv ≝ λG. lpx_sn (λ_.cpr G).
 
 interpretation "parallel reduction (local environment, sn variant)"
    'PRedSn G L1 L2 = (lpr G L1 L2).
@@ -49,7 +49,7 @@ lemma lpr_refl: ∀G,L. ⦃G, L⦄ ⊢ ➡ L.
 
 lemma lpr_pair: ∀I,G,K1,K2,V1,V2. ⦃G, K1⦄ ⊢ ➡ K2 → ⦃G, K1⦄ ⊢ V1 ➡ V2 →
                 ⦃G, K1.ⓑ{I}V1⦄ ⊢ ➡ K2.ⓑ{I}V2.
-/2 width=1/ qed.
+/2 width=1 by lpx_sn_pair/ qed.
 
 (* Basic forward lemmas *****************************************************)