X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffrees_drops.ma;h=247179603917a5bde2d0b780dd235eb6f9285df0;hp=37c629351f1c30b64f19adb8ee78124871942f2a;hb=25c634037771dff0138e5e8e3d4378183ff49b86;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b diff --git a/matita/matita/contribs/lambdadelta/static_2/static/frees_drops.ma b/matita/matita/contribs/lambdadelta/static_2/static/frees_drops.ma index 37c629351..247179603 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/frees_drops.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/frees_drops.ma @@ -32,7 +32,7 @@ qed. lemma frees_pair_drops: âf,K,V. K ⢠ð +âªVâ« â f â - âi,I,L. â©*[i] L â K.â[I]V â L ⢠ð +âª#iâ« â ⫯*[i] âf. + âi,I,L. â©[i] L â K.â[I]V â L ⢠ð +âª#iâ« â ⫯*[i] âf. #f #K #V #Hf #i elim i -i [ #I #L #H lapply (drops_fwd_isid ⦠H ?) -H /2 width=1 by frees_pair/ | #i #IH #I #L #H elim (drops_inv_succ ⦠H) -H /3 width=2 by frees_lref/ @@ -40,7 +40,7 @@ lemma frees_pair_drops: qed. lemma frees_unit_drops: - âf. ðâªfâ« â âI,K,i,L. â©*[i] L â K.â¤[I] â + âf. ðâªfâ« â âI,K,i,L. â©[i] L â K.â¤[I] â L ⢠ð +âª#iâ« â ⫯*[i] âf. #f #Hf #I #K #i elim i -i [ #L #H lapply (drops_fwd_isid ⦠H ?) -H /2 width=1 by frees_unit/ @@ -51,7 +51,7 @@ qed. lemma frees_lref_pushs: âf,K,j. K ⢠ð +âª#jâ« â f â - âi,L. â©*[i] L â K â L ⢠ð +âª#(i+j)â« â ⫯*[i] f. + âi,L. â©[i] L â K â L ⢠ð +âª#(i+j)â« â ⫯*[i] f. #f #K #j #Hf #i elim i -i [ #L #H lapply (drops_fwd_isid ⦠H ?) -H // | #i #IH #L #H elim (drops_inv_succ ⦠H) -H @@ -64,8 +64,8 @@ qed. lemma frees_inv_lref_drops: âL,i,f. L ⢠ð +âª#iâ« â f â â¨â¨ ââg. â©*[â»,ðâ¨iâ©] L â â & ðâªgâ« & f = ⫯*[i] âg - | ââg,I,K,V. K ⢠ð +âªVâ« â g & â©*[i] L â K.â[I]V & f = ⫯*[i] âg - | ââg,I,K. â©*[i] L â K.â¤[I] & ðâªgâ« & f = ⫯*[i] âg. + | ââg,I,K,V. K ⢠ð +âªVâ« â g & â©[i] L â K.â[I]V & f = ⫯*[i] âg + | ââg,I,K. â©[i] L â K.â¤[I] & ðâªgâ« & f = ⫯*[i] âg. #L elim L -L [ #i #g | #L #I #IH * [ #g cases I -I [ #I | #I #V ] -IH | #i #g ] ] #H [ elim (frees_inv_atom ⦠H) -H #f #Hf #H destruct @@ -144,7 +144,7 @@ lemma frees_lifts: qed-. lemma frees_lifts_SO: - âb,L,K. â©*[b,ðâ¨1â©] L â K â âT,U. â§*[1] T â U â + âb,L,K. â©*[b,ðâ¨1â©] L â K â âT,U. â§[1] T â U â âf. K ⢠ð +âªTâ« â f â L ⢠ð +âªUâ« â ⫯f. #b #L #K #HLK #T #U #HTU #f #Hf @(frees_lifts b ⦠Hf ⦠HTU) // (**) (* auto fails *) @@ -170,7 +170,7 @@ qed-. lemma frees_inv_lifts_SO: âb,f,L,U. L ⢠ð +âªUâ« â f â - âK. â©*[b,ðâ¨1â©] L â K â âT. â§*[1] T â U â + âK. â©*[b,ðâ¨1â©] L â K â âT. â§[1] T â U â K ⢠ð +âªTâ« â ⫱f. #b #f #L #U #H #K #HLK #T #HTU elim(frees_inv_lifts_ex ⦠H ⦠HLK ⦠HTU) -b -L -U #f1 #Hf #Hf1 elim (coafter_inv_nxx ⦠Hf) -Hf @@ -188,38 +188,38 @@ qed-. (* Note: this is used by rex_conf and might be modified *) lemma frees_inv_drops_next: âf1,L1,T1. L1 ⢠ð +âªT1â« â f1 â - âI2,L2,V2,n. â©*[n] L1 â L2.â[I2]V2 â - âg1. âg1 = ⫱*[n] f1 â + âI2,L2,V2,i. â©[i] L1 â L2.â[I2]V2 â + âg1. âg1 = ⫱*[i] f1 â ââg2. L2 ⢠ð +âªV2â« â g2 & g2 â g1. #f1 #L1 #T1 #H elim H -f1 -L1 -T1 -[ #f1 #L1 #s #Hf1 #I2 #L2 #V2 #n #_ #g1 #H1 -I2 -L1 -s - lapply (isid_tls n ⦠Hf1) -Hf1