X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flex_tc.ma;h=00b9db820a136e35b75a6355c56392eaf2f47677;hp=a9ed87b920fbbaa9a65fc5b4c3b28d44fbb9cfe2;hb=222044da28742b24584549ba86b1805a87def070;hpb=5c186c72f508da0849058afeecc6877cd9ed6303 diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_tc.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_tc.ma index a9ed87b92..00b9db820 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_tc.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_tc.ma @@ -13,7 +13,7 @@ (**************************************************************************) include "basic_2/syntax/ext2_tc.ma". -include "basic_2/relocation/lexs_tc.ma". +include "basic_2/relocation/sex_tc.ma". include "basic_2/relocation/lex.ma". alias symbol "subseteq" = "relation inclusion". @@ -26,7 +26,7 @@ alias symbol "subseteq" = "relation inclusion". lemma lex_inv_CTC (R): c_reflexive … R → lex (CTC … R) ⊆ TC … (lex R). #R #HR #L1 #L2 * -/5 width=11 by lexs_inv_tc_dx, lexs_co, ext2_inv_tc, ext2_refl, monotonic_TC, ex2_intro/ +/5 width=11 by sex_inv_tc_dx, sex_co, ext2_inv_tc, ext2_refl, monotonic_TC, ex2_intro/ qed-. lemma s_rs_transitive_lex_inv_isid (R): s_rs_transitive … R (λ_.lex R) → @@ -46,9 +46,9 @@ qed-. lemma lex_CTC (R): s_rs_transitive … R (λ_. lex R) → TC … (lex R) ⊆ lex (CTC … R). #R #HR #L1 #L2 #HL12 -lapply (monotonic_TC … (lexs cfull (cext2 R) 𝐈𝐝) … HL12) -HL12 -[ #L1 #L2 * /3 width=3 by lexs_eq_repl_fwd, eq_id_inv_isid/ -| /5 width=9 by s_rs_transitive_lex_inv_isid, lexs_tc_dx, lexs_co, ext2_tc, ex2_intro/ +lapply (monotonic_TC … (sex cfull (cext2 R) 𝐈𝐝) … HL12) -HL12 +[ #L1 #L2 * /3 width=3 by sex_eq_repl_fwd, eq_id_inv_isid/ +| /5 width=9 by s_rs_transitive_lex_inv_isid, sex_tc_dx, sex_co, ext2_tc, ex2_intro/ ] qed-.