partial commit in static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / syntax / cl_weight.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/cl_weight.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/cl_weight.ma
index a51094adc6c475b0c7b877f28ca3b7c0818e9e5f..e87996c23e7e8835357ce58e0acffdf5b62d0098 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/syntax/cl_weight.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/syntax/cl_weight.ma
@@ -19,31 +19,31 @@ include "static_2/syntax/genv.ma".
 (* WEIGHT OF A CLOSURE ******************************************************)
 
 (* activate genv *)
-definition fw: genv → lenv → term → ? ≝ λG,L,T. ♯{L} + ♯{T}.
+definition fw: genv → lenv → term → ? ≝ λG,L,T. ♯❨L❩ + ♯❨T❩.
 
 interpretation "weight (closure)" 'Weight G L T = (fw G L T).
 
 (* Basic properties *********************************************************)
 
 (* Basic_1: was: flt_shift *)
-lemma fw_shift: ∀p,I,G,K,V,T. ♯{G, K.ⓑ{I}V, T} < ♯{G, K, ⓑ{p,I}V.T}.
-normalize /2 width=1 by monotonic_le_plus_r/
+lemma fw_shift: ∀p,I,G,K,V,T. ♯❨G,K.ⓑ[I]V,T❩ < ♯❨G,K,ⓑ[p,I]V.T❩.
+normalize /2 width=1 by nle_plus_bi_sn/
 qed.
 
-lemma fw_clear: ∀p,I1,I2,G,K,V,T. ♯{G, K.ⓤ{I1}, T} < ♯{G, K, ⓑ{p,I2}V.T}.
-normalize /4 width=1 by monotonic_le_plus_r, le_S_S/
+lemma fw_clear: ∀p,I1,I2,G,K,V,T. ♯❨G,K.ⓤ[I1],T❩ < ♯❨G,K,ⓑ[p,I2]V.T❩.
+normalize /4 width=1 by nle_plus_bi_sn, nle_succ_bi/
 qed.
 
-lemma fw_tpair_sn: ∀I,G,L,V,T. ♯{G, L, V} < ♯{G, L, ②{I}V.T}.
+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,G,L,V,T. ♯{G, L, T} < ♯{G, L, ②{I}V.T}.
+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,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/
+lemma fw_lpair_sn: ∀I,G,L,V,T. ♯❨G,L,V❩ < ♯❨G,L.ⓑ[I]V,T❩.
+normalize /3 width=1 by nlt_plus_bi_dx, nle_plus_bi_sn/
 qed.
 
 (* Basic_1: removed theorems 7: