(* *)
(**************************************************************************)
-set "baseuri" "cic:/matita/LAMBDA-TYPES/LambdaDelta-1/preamble".
-
-include "../Base-1/theory.ma".
+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 "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_le_weak" = "cic:/Coq/Arith/Lt/lt_le_weak.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 "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 "pred_Sn" = "cic:/Coq/Init/Peano/pred_Sn.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.