X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fcontribs%2FCoRN-Decl%2Fdevel%2Floeb%2FIDA%2FCh6.ma;h=fe7031a986df79181cdb05abdf9b3dc3dcf8505f;hb=1776f357e1a69fa1133956660b65d7bafdfe5c25;hp=b63b890ff5c5f77ac532b8cf39d36efa2a7f499b;hpb=94873bb61a663b4fca3dc6d07b7bb9f42122003e;p=helm.git diff --git a/matita/contribs/CoRN-Decl/devel/loeb/IDA/Ch6.ma b/matita/contribs/CoRN-Decl/devel/loeb/IDA/Ch6.ma index b63b890ff..fe7031a98 100644 --- a/matita/contribs/CoRN-Decl/devel/loeb/IDA/Ch6.ma +++ b/matita/contribs/CoRN-Decl/devel/loeb/IDA/Ch6.ma @@ -16,7 +16,7 @@ set "baseuri" "cic:/matita/CoRN-Decl/devel/loeb/IDA/Ch6". -include "CoRN_notation.ma". +include "CoRN.ma". include "algebra/CSemiGroups.ma". @@ -48,7 +48,7 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/plus3.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/on.con". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/ex_3_ary.con". +inline "cic:/CoRN/devel/loeb/IDA/Ch6/ex_3_ary.con" "__". (* blz 65 Example 1 *) @@ -80,23 +80,23 @@ include "model/setoids/Qsetoid.ma". (* blz 66 Examples 2 *) (* UNEXPORTED -Section p66E2. +Section p66E2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/X.var". +alias id "X" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/X.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/f.var". +alias id "f" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/f.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/g.var". +alias id "g" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/g.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/h.var". +alias id "h" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2/h.var". (* Check comp_as_bin_op.*) (* Check assoc_comp.*) (* UNEXPORTED -End p66E2. +End p66E2 *) (* blz 66 Example 2eblok 1 *) @@ -114,10 +114,10 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/FS_is_CSemiGroup.con". (* blz 66 Example % 4 *) (* UNEXPORTED -Section p66E2b4. +Section p66E2b4 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/A.var". +alias id "A" = "cic:/CoRN/devel/loeb/IDA/Ch6/p66E2b4/A.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/Astar.con". @@ -154,7 +154,7 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/Astar_is_CSemiGroup.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/Astar_as_CSemiGroup.con". (* UNEXPORTED -End p66E2b4. +End p66E2b4 *) (* Definition 5 *) @@ -170,15 +170,15 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/is_unit_Z_0.con". (* blz 67 Remark 2 *) (* UNEXPORTED -Section p67R2. +Section p67R2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/X.var". +alias id "X" = "cic:/CoRN/devel/loeb/IDA/Ch6/p67R2/X.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/is_unit_FS_id.con". (* UNEXPORTED -End p67R2. +End p67R2 *) (* blz 67 Remark 3 *) @@ -208,7 +208,7 @@ include "model/monoids/Zmonoid.ma". (* blz 68 Example blok1 1 *) (* UNEXPORTED -Section p68E1b1. +Section p68E1b1 *) inline "cic:/CoRN/devel/loeb/IDA/Ch6/M1.ind". @@ -280,7 +280,7 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/M2_as_CMonoid.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/two_element_CMonoids.con". (* UNEXPORTED -End p68E1b1. +End p68E1b1 *) (* blz 68 Example blok2 1 *) @@ -298,12 +298,12 @@ End p68E1b1. include "algebra/CMonoids.ma". (* UNEXPORTED -Section D9S. +Section D9S *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M1.var". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/D9S/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M2.var". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/D9S/M2.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/dprod.con". @@ -316,16 +316,16 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/direct_product_is_CSemiGroup.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/direct_product_as_CSemiGroup.con". (* UNEXPORTED -End D9S. +End D9S *) (* UNEXPORTED -Section D9M. +Section D9M *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M1.var". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/D9M/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M2.var". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/D9M/M2.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/e1e2_is_rht_unit.con". @@ -336,42 +336,42 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/direct_product_is_CMonoid.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/direct_product_as_CMonoid.con". (* UNEXPORTED -End D9M. +End D9M *) (* blz 69 Example *) (* UNEXPORTED -Section p69E1. +Section p69E1 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/PM1M2.con". +inline "cic:/CoRN/devel/loeb/IDA/Ch6/p69E1/PM1M2.con" "p69E1__". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/uu.con". +inline "cic:/CoRN/devel/loeb/IDA/Ch6/p69E1/uu.con" "p69E1__". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/e1u.con". +inline "cic:/CoRN/devel/loeb/IDA/Ch6/p69E1/e1u.con" "p69E1__". inline "cic:/CoRN/devel/loeb/IDA/Ch6/ex_69.con". (* UNEXPORTED -End p69E1. +End p69E1 *) (* Theorem 11 *) (* UNEXPORTED -Section Th11. +Section Th11 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M.var". +alias id "M" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/M.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/I.var". +alias id "I" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/I.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/C.var". +alias id "C" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/C.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/Cunit.var". +alias id "Cunit" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/Cunit.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/op_pres_C.var". +alias id "op_pres_C" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th11/op_pres_C.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/K.con". @@ -380,16 +380,16 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/op_pres_K.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/K_is_Monoid.con". (* UNEXPORTED -End Th11. +End Th11 *) (* Theorem 12 *) (* UNEXPORTED -Section Th12. +Section Th12 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/A.var". +alias id "A" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th12/A.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/nil_is_rht_unit.con". @@ -400,18 +400,18 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/free_monoid_is_CMonoid.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/free_monoid_as_CMonoid.con". (* UNEXPORTED -End Th12. +End Th12 *) (* blz 70 text *) (* UNEXPORTED -Section p70text. +Section p70text *) include "devel/loeb/per/lst2fun.ma". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/A.con". +inline "cic:/CoRN/devel/loeb/IDA/Ch6/p70text/A.con" "p70text__". inline "cic:/CoRN/devel/loeb/IDA/Ch6/ZerolessOne.con". @@ -428,44 +428,44 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/to_word_bijective.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/pres_plus_to_word.con". (* UNEXPORTED -End p70text. +End p70text *) (* Definition 13 *) (* UNEXPORTED -Section Th13. +Section Th13 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M1.var". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th13/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M2.var". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th13/M2.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/morphism.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/isomorphism.con". (* UNEXPORTED -End Th13. +End Th13 *) (* blz 71 Example 1 *) (* UNEXPORTED -Section p71E1. +Section p71E1 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M.var". +alias id "M" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/M.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/c.var". +alias id "c" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/c.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/power_CMonoid.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/power_CMonoid_CSetoid.con". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/is_generated_by.var". +alias id "is_generated_by" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/is_generated_by.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/f.con". +inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E1/f.con" "p71E1__". inline "cic:/CoRN/devel/loeb/IDA/Ch6/f_strext.con". @@ -474,11 +474,11 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/f_as_CSetoid_fun.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/surjective_f.con". (* UNEXPORTED -End p71E1. +End p71E1 *) (* UNEXPORTED -Section p71E1'. +Section p71E1' *) inline "cic:/CoRN/devel/loeb/IDA/Ch6/M1_is_generated_by_u.con". @@ -486,18 +486,18 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/M1_is_generated_by_u.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/not_injective_f.con". (* UNEXPORTED -End p71E1'. +End p71E1' *) (* Print to_word_bijective.*) (* UNEXPORTED -Section p71E2. +Section p71E2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/A.var". +alias id "A" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2/A.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/L.con". +inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2/L.con" "p71E2__". inline "cic:/CoRN/devel/loeb/IDA/Ch6/L_strext.con". @@ -506,63 +506,63 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/L_as_CSetoid_fun.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/L_is_morphism.con". (* UNEXPORTED -End p71E2. +End p71E2 *) (* blz 71 Remark 1 *) (* UNEXPORTED -Section p71R1. +Section p71R1 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/S1.var". +alias id "S1" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71R1/S1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/S2.var". +alias id "S2" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71R1/S2.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/morphism_of_CSemiGroups.con". (* UNEXPORTED -End p71R1. +End p71R1 *) (* UNEXPORTED -Section p71R2. +Section p71R2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M.var". +alias id "M" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71R2/M.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/automorphism.con". (* UNEXPORTED -End p71R2. +End p71R2 *) (* Theorem 14 *) (* UNEXPORTED -Section Th14. +Section Th14 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M1.var". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M2.var". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/M2.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/f.var". +alias id "f" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/f.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/isof.var". +alias id "isof" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th14/isof.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/iso_imp_bij.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/iso_inv.con". (* UNEXPORTED -End Th14. +End Th14 *) (* blz 71 Examples 2eblok 1 *) (* UNEXPORTED -Section p71E2b1. +Section p71E2b1 *) inline "cic:/CoRN/devel/loeb/IDA/Ch6/isomorphic.con". @@ -570,18 +570,18 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/isomorphic.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/not_isomorphic_M1_M2.con". (* UNEXPORTED -End p71E2b1. +End p71E2b1 *) (* UNEXPORTED -Section p71E2b2. +Section p71E2b2 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M1.var". +alias id "M1" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2b2/M1.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M2.var". +alias id "M2" = "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2b2/M2.var". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/f.con". +inline "cic:/CoRN/devel/loeb/IDA/Ch6/p71E2b2/f.con" "p71E2b2__". inline "cic:/CoRN/devel/loeb/IDA/Ch6/f_strext'.con". @@ -590,18 +590,18 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/f_as_CSetoid_fun'.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/isomorphic_PM1M2_PM2M1.con". (* UNEXPORTED -End p71E2b2. +End p71E2b2 *) (* UNEXPORTED -Section Th15. +Section Th15 *) -inline "cic:/CoRN/devel/loeb/IDA/Ch6/M.var". +alias id "M" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th15/M.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/cm_Sum.con". -inline "cic:/CoRN/devel/loeb/IDA/Ch6/D.var". +alias id "D" = "cic:/CoRN/devel/loeb/IDA/Ch6/Th15/D.var". inline "cic:/CoRN/devel/loeb/IDA/Ch6/member.con". @@ -622,6 +622,6 @@ inline "cic:/CoRN/devel/loeb/IDA/Ch6/op_pres_Dbrack.con". inline "cic:/CoRN/devel/loeb/IDA/Ch6/Dbrack_as_CMonoid.con". (* UNEXPORTED -End Th15. +End Th15 *)