]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/grammar/cl_weight.ma
- test.ma on the disambiguation bug moved to ONAG (just out of the way)
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / grammar / cl_weight.ma
index 1f79433bd98a2c9608cd6c8c6580f68cd6b24c58..aa20d64db45300fba99e5c01762adbf50f8d8bce 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/notation/functions/weight_3.ma".
 include "basic_2/grammar/lenv_weight.ma".
-include "basic_2/grammar/cl_shift.ma".
+include "basic_2/grammar/genv.ma".
 
 (* WEIGHT OF A CLOSURE ******************************************************)
 
-definition fw: lenv → term → ? ≝ λL,T. ♯{L} + ♯{T}.
+(* activate genv *)
+definition fw: genv → lenv → term → ? ≝ λG,L,T. ♯{L} + ♯{T}.
 
-interpretation "weight (closure)" 'Weight L T = (fw L T).
+interpretation "weight (closure)" 'Weight G L T = (fw G L T).
 
 (* Basic properties *********************************************************)
 
 (* Basic_1: was: flt_shift *)
-lemma fw_shift: ∀a,K,I,V,T. ♯{K. ⓑ{I} V, T} < ♯{K, ⓑ{a,I} V. T}.
+lemma fw_shift: ∀a,I,G,K,V,T. ♯{G, K.ⓑ{I}V, T} < ♯{G, K, ⓑ{a,I}V.T}.
 normalize //
 qed.
 
-lemma fw_tpair_sn: ∀I,L,V,T. ♯{L, V} < ♯{L, ②{I}V.T}.
-normalize in ⊢ (?→?→?→?→?%%); //
+lemma fw_tpair_sn: ∀I,G,L,V,T. ♯{G, L, V} < ♯{G, L, ②{I}V.T}.
+normalize in ⊢ (?→?→?→?→?→?%%); //
 qed.
 
-lemma fw_tpair_dx: ∀I,L,V,T. ♯{L, T} < ♯{L, ②{I}V.T}.
-normalize in ⊢ (?→?→?→?→?%%); //
+lemma fw_tpair_dx: ∀I,G,L,V,T. ♯{G, L, T} < ♯{G, L, ②{I}V.T}.
+normalize in ⊢ (?→?→?→?→?→?%%); //
 qed.
 
-lemma fw_lpair_sn: ∀I,L,V,T. ♯{L, V} < ♯{L.ⓑ{I}V, T}.
+lemma fw_lpair_sn: ∀I,G,L,V,T. ♯{G, L, V} < ♯{G, L.ⓑ{I}V, T}.
 normalize /3 width=1 by monotonic_lt_plus_l, monotonic_le_plus_r/ (**) (* auto too slow without trace *)
 qed.