LAMBDA-TYPES: some improvements

[helm.git] / matita / contribs / LAMBDA-TYPES / LambdaDelta-1 / preamble.ma

diff --git a/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/preamble.ma b/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/preamble.ma
index 5b67c95f8b94ef7ae44749611696b1b8c1a40193..97a666fe75c514ded7a9054ceea312cee87e68d1 100644 (file)
--- a/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/preamble.ma
+++ b/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/preamble.ma
@@ -15,3 +15,32 @@
 set "baseuri" "cic:/matita/LAMBDA-TYPES/LambdaDelta-1/preamble".
 
 include "../Base-1/theory.ma".
+
+alias id "and_ind" = "cic:/Coq/Init/Logic/and_ind.con".
+alias id "bool_ind" = "cic:/Coq/Init/Datatypes/bool_ind.con".
+alias id "ex" = "cic:/Coq/Init/Logic/ex.ind#xpointer(1/1)".
+alias id "ex_ind" = "cic:/Coq/Init/Logic/ex_ind.con".
+alias id "ex_intro" = "cic:/Coq/Init/Logic/ex.ind#xpointer(1/1/1)".
+alias id "f_equal2" = "cic:/Coq/Init/Logic/f_equal2.con".
+alias id "f_equal3" = "cic:/Coq/Init/Logic/f_equal3.con".
+alias id "le_antisym" = "cic:/Coq/Arith/Le/le_antisym.con".
+alias id "le_lt_trans" = "cic:/Coq/Arith/Lt/le_lt_trans.con".
+alias id "le_plus_trans" = "cic:/Coq/Arith/Plus/le_plus_trans.con".
+alias id "lt_le_trans" = "cic:/Coq/Arith/Lt/lt_le_trans.con".
+alias id "lt_n_Sn" = "cic:/Coq/Arith/Lt/lt_n_Sn.con".
+alias id "lt_S_n" = "cic:/Coq/Arith/Lt/lt_S_n.con".
+alias id "lt_trans" = "cic:/Coq/Arith/Lt/lt_trans.con".
+alias id "lt_wf_ind" = "cic:/Coq/Arith/Wf_nat/lt_wf_ind.con".
+alias id "minus_n_n" = "cic:/Coq/Arith/Minus/minus_n_n.con".
+alias id "minus_Sn_m" = "cic:/Coq/Arith/Minus/minus_Sn_m.con".
+alias id "plus_le_lt_compat" = "cic:/Coq/Arith/Plus/plus_le_lt_compat.con".
+alias id "plus_lt_compat" = "cic:/Coq/Arith/Plus/plus_lt_compat.con".
+alias id "plus_lt_compat_r" = "cic:/Coq/Arith/Plus/plus_lt_compat_r.con".
+alias id "plus_lt_le_compat" = "cic:/Coq/Arith/Plus/plus_lt_le_compat.con".
+alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
+alias id "plus_Snm_nSm" = "cic:/Coq/Arith/Plus/plus_Snm_nSm.con".
+alias id "S_pred" = "cic:/Coq/Arith/Lt/S_pred.con".
+
+theorem trans_eq : \forall A:Type. \forall x,y,z:A. x=y \to y=z \to x=z.
+ intros. transitivity y; assumption.
+qed.