X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fdrops_lstar.ma;h=4820ed7759af9d86368f27331de48d4cf1bf6555;hb=42705ef31dd3513a998533e02b5f20fb38dd4fb2;hp=c377b6028b02b45668073fc29d7266b494a9c555;hpb=e9da8e091898b6e67a2f270581bdc5cdbe80e9b0;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma index c377b6028..4820ed775 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma @@ -12,17 +12,17 @@ (* *) (**************************************************************************) +include "ground_2/lib/star.ma". include "ground_2/lib/lstar.ma". include "basic_2/relocation/lreq_lreq.ma". -include "basic_2/relocation/drops.ma". (* GENERIC SLICING FOR LOCAL ENVIRONMENTS ***********************************) (* Properties with reflexive and transitive closure *************************) (* Basic_2A1: was: d_liftable_LTC *) -lemma d2_liftable_LTC: ∀R. d_liftable2 R → d_liftable2 (LTC … R). -#R #HR #K #T1 #T2 #H elim H -T2 +lemma d2_liftable_sn_LTC: ∀C,S,R. d_liftable2_sn C S R → d_liftable2_sn C S (LTC … R). +#C #S #R #HR #K #T1 #T2 #H elim H -T2 [ #T2 #HT12 #b #f #L #HLK #U1 #HTU1 elim (HR … HT12 … HLK … HTU1) /3 width=3 by inj, ex2_intro/ | #T #T2 #_ #HT2 #IHT1 #b #f #L #HLK #U1 #HTU1 @@ -32,8 +32,8 @@ lemma d2_liftable_LTC: ∀R. d_liftable2 R → d_liftable2 (LTC … R). qed-. (* Basic_2A1: was: d_deliftable_sn_LTC *) -lemma d2_deliftable_sn_LTC: ∀R. d_deliftable2_sn R → d_deliftable2_sn (LTC … R). -#R #HR #L #U1 #U2 #H elim H -U2 +lemma d2_deliftable_sn_LTC: ∀C,S,R. d_deliftable2_sn C S R → d_deliftable2_sn C S (LTC … R). +#C #S #R #HR #L #U1 #U2 #H elim H -U2 [ #U2 #HU12 #b #f #K #HLK #T1 #HTU1 elim (HR … HU12 … HLK … HTU1) -HR -L -U1 /3 width=3 by inj, ex2_intro/ | #U #U2 #_ #HU2 #IHU1 #b #f #K #HLK #T1 #HTU1 @@ -42,9 +42,9 @@ lemma d2_deliftable_sn_LTC: ∀R. d_deliftable2_sn R → d_deliftable2_sn (LTC ] qed-. -lemma dropable_sn_TC: ∀R. dropable_sn R → dropable_sn (LTC … R). -#R #HR #b #f #L1 #K1 #HLK1 #f2 #L2 #H elim H -L2 -[ #L2 #HL12 #f1 #H elim (HR … HLK1 … HL12 … H) -HR -f2 -L1 +lemma co_dropable_sn_TC: ∀R. co_dropable_sn R → co_dropable_sn (LTC … R). +#R #HR #b #f #L1 #K1 #HLK1 #Hf #f2 #L2 #H elim H -L2 +[ #L2 #HL12 #f1 #H elim (HR … HLK1 … Hf … HL12 … H) -HR -Hf -f2 -L1 /3 width=3 by inj, ex2_intro/ | #L #L2 #_ #HL2 #IH #f1 #H elim (IH … H) -IH #K #HK1 #HLK elim (HR … HLK … HL2 … H) -HR -f2 -L @@ -53,8 +53,8 @@ lemma dropable_sn_TC: ∀R. dropable_sn R → dropable_sn (LTC … R). qed-. (* Basic_2A1: was: d_liftable_llstar *) -lemma d2_liftable_llstar: ∀R. d_liftable2 R → ∀d. d_liftable2 (llstar … R d). -#R #HR #d #K #T1 #T2 #H @(lstar_ind_r … d T2 H) -d -T2 +lemma d2_liftable_sn_llstar: ∀C,S,R. d_liftable2_sn C S R → ∀d. d_liftable2_sn C S (llstar … R d). +#C #S #R #HR #d #K #T1 #T2 #H @(lstar_ind_r … d T2 H) -d -T2 [ #b #f #L #_ #U1 #HTU1 -HR -b -K /2 width=3 by ex2_intro/ | #l #T #T2 #_ #HT2 #IHT1 #b #f #L #HLK #U1 #HTU1 elim (IHT1 … HLK … HTU1) -T1 #U #HTU #HU1 @@ -63,9 +63,9 @@ lemma d2_liftable_llstar: ∀R. d_liftable2 R → ∀d. d_liftable2 (llstar … qed-. (* Basic_2A1: was: d_deliftable_sn_llstar *) -lemma d2_deliftable_sn_llstar: ∀R. d_deliftable2_sn R → - ∀d. d_deliftable2_sn (llstar … R d). -#R #HR #l #L #U1 #U2 #H @(lstar_ind_r … l U2 H) -l -U2 +lemma d2_deliftable_sn_llstar: ∀C,S,R. d_deliftable2_sn C S R → + ∀d. d_deliftable2_sn C S (llstar … R d). +#C #S #R #HR #l #L #U1 #U2 #H @(lstar_ind_r … l U2 H) -l -U2 [ /2 width=3 by lstar_O, ex2_intro/ | #l #U #U2 #_ #HU2 #IHU1 #b #f #K #HLK #T1 #HTU1 elim (IHU1 … HLK … HTU1) -IHU1 -U1 #T #HTU #HT1 @@ -73,7 +73,7 @@ lemma d2_deliftable_sn_llstar: ∀R. d_deliftable2_sn R → ] qed-. -lemma dropable_dx_TC: ∀R. dropable_dx R → dropable_dx (LTC … R). +lemma co_dropable_dx_TC: ∀R. co_dropable_dx R → co_dropable_dx (LTC … R). #R #HR #f2 #L1 #L2 #H elim H -L2 [ #L2 #HL12 #b #f #K2 #HLK2 #Hf #f1 #Hf2 elim (HR … HL12 … HLK2 … Hf … Hf2) -HR -Hf -f2 -L2 /3 width=3 by inj, ex2_intro/ @@ -83,7 +83,7 @@ lemma dropable_dx_TC: ∀R. dropable_dx R → dropable_dx (LTC … R). ] qed-. -lemma dedropable_sn_TC: ∀R. dedropable_sn R → dedropable_sn (LTC … R). +lemma co_dedropable_sn_TC: ∀R. co_dedropable_sn R → co_dedropable_sn (LTC … R). #R #HR #b #f #L1 #K1 #HLK1 #f1 #K2 #H elim H -K2 [ #K2 #HK12 #f2 #Hf elim (HR … HLK1 … HK12 … Hf) -HR -f1 -K1 /3 width=4 by inj, ex3_intro/