X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FLevel-1%2FBase%2Fext%2Fpreamble.ma;h=b3d0572d29e7acc96434a7ca82030d424923427a;hb=19cbfb5402fa3aa9419ab5dd7b5e82ce8e2593e1;hp=0cbdc3acb2ed262b5343f3d4560dbe7bf42b67aa;hpb=2f5d3cf6e4d80433f5dc4057a4997361c1bfc553;p=helm.git diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Base/ext/preamble.ma b/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Base/ext/preamble.ma index 0cbdc3acb..b3d0572d2 100644 --- a/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Base/ext/preamble.ma +++ b/helm/software/matita/contribs/LAMBDA-TYPES/Level-1/Base/ext/preamble.ma @@ -14,34 +14,8 @@ set "baseuri" "cic:/matita/LAMBDA-TYPES/Level-1/Base/ext/preamble". -(* FG: We should include legacy/coq.ma bit it is not working *) -(* include "legacy/coq.ma". *) +include "legacy/coq.ma". -default "equality" - cic:/Coq/Init/Logic/eq.ind - cic:/Coq/Init/Logic/sym_eq.con - cic:/Coq/Init/Logic/trans_eq.con - cic:/Coq/Init/Logic/eq_ind.con - cic:/Coq/Init/Logic/eq_ind_r.con - cic:/Coq/Init/Logic/f_equal.con - cic:/Coq/Init/Logic/f_equal1.con. - -default "true" - cic:/Coq/Init/Logic/True.ind. - -default "false" - cic:/Coq/Init/Logic/False.ind. - -default "absurd" - cic:/Coq/Init/Logic/absurd.con. - -interpretation "Coq's leibnitz's equality" 'eq x y = (cic:/Coq/Init/Logic/eq.ind#xpointer(1/1) _ x y). -interpretation "Coq's not equal to (leibnitz)" 'neq x y = (cic:/Coq/Init/Logic/not.con (cic:/Coq/Init/Logic/eq.ind#xpointer(1/1) _ x y)). -interpretation "Coq's natural plus" 'plus x y = (cic:/Coq/Init/Peano/plus.con x y). -interpretation "Coq's natural 'less or equal to'" 'leq x y = (cic:/Coq/Init/Peano/le.ind#xpointer(1/1) x y). - -alias id "land" = "cic:/Coq/Init/Logic/and.ind#xpointer(1/1)". - (* FG/CSC: These aliases should disappear: we would like to write something * like: "disambiguate in cic:/Coq/*" *) @@ -108,6 +82,38 @@ alias id "refl_equal" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1/1)". alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)". alias id "true" = "cic:/Coq/Init/Datatypes/bool.ind#xpointer(1/1/1)". alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)". +alias id "plus_lt_compat_r" = "cic:/Coq/Arith/Plus/plus_lt_compat_r.con". +alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con". +alias id "plus_le_lt_compat" = "cic:/Coq/Arith/Plus/plus_le_lt_compat.con". +alias id "lt_wf_ind" = "cic:/Coq/Arith/Wf_nat/lt_wf_ind.con". +alias id "minus_Sn_m" = "cic:/Coq/Arith/Minus/minus_Sn_m.con". +alias id "and_ind" = "cic:/Coq/Init/Logic/and_ind.con". +alias id "le_lt_trans" = "cic:/Coq/Arith/Lt/le_lt_trans.con". +alias id "lt_le_trans" = "cic:/Coq/Arith/Lt/lt_le_trans.con". +alias id "le_lt_trans" = "cic:/Coq/Arith/Lt/le_lt_trans.con". +alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con". +alias id "f_equal3" = "cic:/Coq/Init/Logic/f_equal3.con". +alias id "S_pred" = "cic:/Coq/Arith/Lt/S_pred.con". +alias id "lt_le_trans" = "cic:/Coq/Arith/Lt/lt_le_trans.con". +alias id "plus_lt_compat_r" = "cic:/Coq/Arith/Plus/plus_lt_compat_r.con". +alias id "le_plus_trans" = "cic:/Coq/Arith/Plus/le_plus_trans.con". +alias id "f_equal2" = "cic:/Coq/Init/Logic/f_equal2.con". +alias id "le_plus_trans" = "cic:/Coq/Arith/Plus/le_plus_trans.con". +alias id "f_equal2" = "cic:/Coq/Init/Logic/f_equal2.con". +alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con". +alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con". +alias id "lt_trans" = "cic:/Coq/Arith/Lt/lt_trans.con". +alias id "minus_Sn_m" = "cic:/Coq/Arith/Minus/minus_Sn_m.con". +alias id "ex_intro" = "cic:/Coq/Init/Logic/ex.ind#xpointer(1/1/1)". +alias id "lt_trans" = "cic:/Coq/Arith/Lt/lt_trans.con". +alias id "lt_n_Sn" = "cic:/Coq/Arith/Lt/lt_n_Sn.con". +alias id "lt_le_trans" = "cic:/Coq/Arith/Lt/lt_le_trans.con". +alias id "lt_wf_ind" = "cic:/Coq/Arith/Wf_nat/lt_wf_ind.con". +alias id "bool_ind" = "cic:/Coq/Init/Datatypes/bool_ind.con". +alias id "ex_ind" = "cic:/Coq/Init/Logic/ex_ind.con". +alias id "plus_Snm_nSm" = "cic:/Coq/Arith/Plus/plus_Snm_nSm.con". +alias id "plus_lt_le_compat" = "cic:/Coq/Arith/Plus/plus_lt_le_compat.con". +alias id "plus_lt_compat" = "cic:/Coq/Arith/Plus/plus_lt_compat.con". theorem f_equal: \forall A,B:Type. \forall f:A \to B. \forall x,y:A. x = y \to f x = f y. @@ -131,3 +137,12 @@ theorem plus_le_reg_l: \forall p,n,m. p + n <= p + m \to n <= m. qed. definition sym_equal \def sym_eq. + +default "equality" + cic:/Coq/Init/Logic/eq.ind + cic:/matita/LAMBDA-TYPES/Level-1/Base/ext/preamble/sym_eq.con + cic:/Coq/Init/Logic/trans_eq.con + cic:/Coq/Init/Logic/eq_ind.con + cic:/Coq/Init/Logic/eq_ind_r.con + cic:/matita/LAMBDA-TYPES/Level-1/Base/ext/preamble/f_equal.con + cic:/matita/legacy/coq/f_equal1.con.