X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fdrops_weight.ma;h=3b75c89f62bd7aef2dff7a58b58fd71639bdb428;hp=f0c5f355ad34488a27ffaf3dac0afa6dbe58424b;hb=222044da28742b24584549ba86b1805a87def070;hpb=d3636c8688ec08cc39eb7ce6c1918b25bbccc349 diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma index f0c5f355a..3b75c89f6 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma @@ -12,8 +12,8 @@ (* *) (**************************************************************************) -include "basic_2/grammar/cl_restricted_weight.ma". -include "basic_2/relocation/lifts_weight.ma". +include "basic_2/syntax/cl_restricted_weight.ma". +include "basic_2/relocation/lifts_weight_bind.ma". include "basic_2/relocation/drops.ma". (* GENERIC SLICING FOR LOCAL ENVIRONMENTS ***********************************) @@ -21,36 +21,36 @@ include "basic_2/relocation/drops.ma". (* Forward lemmas with weight for local environments ************************) (* Basic_2A1: includes: drop_fwd_lw *) -lemma drops_fwd_lw: ∀L1,L2,c,f. ⬇*[c, f] L1 ≡ L2 → ♯{L2} ≤ ♯{L1}. -#L1 #L2 #c #f #H elim H -L1 -L2 -f // +lemma drops_fwd_lw: ∀b,f,L1,L2. ⬇*[b, f] L1 ≘ L2 → ♯{L2} ≤ ♯{L1}. +#b #f #L1 #L2 #H elim H -f -L1 -L2 // [ /2 width=3 by transitive_le/ -| #I #L1 #L2 #V1 #V2 #f #_ #HV21 #IHL12 normalize - >(lifts_fwd_tw … HV21) -HV21 /2 width=1 by monotonic_le_plus_l/ +| #f #I1 #I2 #L1 #L2 #_ #HI21 #IHL12 normalize + >(liftsb_fwd_bw … HI21) -HI21 /2 width=1 by monotonic_le_plus_l/ ] qed-. (* Basic_2A1: includes: drop_fwd_lw_lt *) -lemma drops_fwd_lw_lt: ∀L1,L2,f. ⬇*[Ⓣ, f] L1 ≡ L2 → +lemma drops_fwd_lw_lt: ∀f,L1,L2. ⬇*[Ⓣ, f] L1 ≘ L2 → (𝐈⦃f⦄ → ⊥) → ♯{L2} < ♯{L1}. -#L1 #L2 #f #H elim H -L1 -L2 -f +#f #L1 #L2 #H elim H -f -L1 -L2 [ #f #Hf #Hnf elim Hnf -Hnf /2 width=1 by/ | /3 width=3 by drops_fwd_lw, le_to_lt_to_lt/ -| #I #L1 #L2 #V1 #V2 #f #_ #HV21 #IHL12 #H normalize in ⊢ (?%%); -I - >(lifts_fwd_tw … HV21) -V2 /5 width=3 by isid_push, monotonic_lt_plus_l/ +| #f #I1 #I2 #L1 #L2 #_ #HI21 #IHL12 #H normalize in ⊢ (?%%); + >(liftsb_fwd_bw … HI21) -I2 /5 width=3 by isid_push, monotonic_lt_plus_l/ ] qed-. (* Forward lemmas with restricted weight for closures ***********************) (* Basic_2A1: includes: drop_fwd_rfw *) -lemma drops_pair2_fwd_rfw: ∀I,L,K,V,c,f. ⬇*[c, f] L ≡ K.ⓑ{I}V → ∀T. ♯{K, V} < ♯{L, T}. -#I #L #K #V #c #f #HLK lapply (drops_fwd_lw … HLK) -HLK -normalize in ⊢ (%→?→?%%); /3 width=3 by le_to_lt_to_lt/ +lemma drops_bind2_fwd_rfw: ∀b,f,I,L,K,V. ⬇*[b, f] L ≘ K.ⓑ{I}V → ∀T. ♯{K, V} < ♯{L, T}. +#b #f #I #L #K #V #HLK lapply (drops_fwd_lw … HLK) -HLK +normalize in ⊢ (%→?→?%%); /3 width=3 by le_to_lt_to_lt, monotonic_lt_plus_r/ qed-. (* Advanced inversion lemma *************************************************) -lemma drops_inv_x_pair_xy: ∀I,L,V,c,f. ⬇*[c,f] L ≡ L.ⓑ{I}V → ⊥. -#I #L #V #c #f #H lapply (drops_fwd_lw … H) -c -f +lemma drops_inv_x_bind_xy: ∀b,f,I,L. ⬇*[b, f] L ≘ L.ⓘ{I} → ⊥. +#b #f #I #L #H lapply (drops_fwd_lw … H) -b -f /2 width=4 by lt_le_false/ (**) (* full auto is a bit slow: 19s *) qed-.