This is random stuff that should be in the Coq basic library.
*)
-inline procedural "cic:/CoRN/algebra/Basics/lt_le_dec.con".
+inline procedural "cic:/CoRN/algebra/Basics/lt_le_dec.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/lt_z_two.con".
+inline procedural "cic:/CoRN/algebra/Basics/lt_z_two.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/le_pred.con".
+inline procedural "cic:/CoRN/algebra/Basics/le_pred.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/lt_mult_right.con".
+inline procedural "cic:/CoRN/algebra/Basics/lt_mult_right.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/le_mult_right.con".
+inline procedural "cic:/CoRN/algebra/Basics/le_mult_right.con" as lemma.
(*#* The power function does not exist in the standard library *)
-inline procedural "cic:/CoRN/algebra/Basics/power.con".
+inline procedural "cic:/CoRN/algebra/Basics/power.con" as definition.
(*#* Factorial function. Does not exist in Arith.
Needed for special operations on polynomials. *)
-inline procedural "cic:/CoRN/algebra/Basics/fac.con".
+inline procedural "cic:/CoRN/algebra/Basics/fac.con" as definition.
-inline procedural "cic:/CoRN/algebra/Basics/nat_fac_gtzero.con".
+inline procedural "cic:/CoRN/algebra/Basics/nat_fac_gtzero.con" as lemma.
(* needed for computational behavior of "Inversion" tactic *)
Qed.
*)
-inline procedural "cic:/CoRN/algebra/Basics/not_r_sumbool_rec.con".
+inline procedural "cic:/CoRN/algebra/Basics/not_r_sumbool_rec.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/not_l_sumbool_rec.con".
+inline procedural "cic:/CoRN/algebra/Basics/not_l_sumbool_rec.con" as lemma.
(* begin hide *)
(* end hide *)
-inline procedural "cic:/CoRN/algebra/Basics/POS_anti_convert.con".
+inline procedural "cic:/CoRN/algebra/Basics/POS_anti_convert.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/NEG_anti_convert.con".
+inline procedural "cic:/CoRN/algebra/Basics/NEG_anti_convert.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/lt_O_positive_to_nat.con".
+inline procedural "cic:/CoRN/algebra/Basics/lt_O_positive_to_nat.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/anti_convert_pred_convert.con".
+inline procedural "cic:/CoRN/algebra/Basics/anti_convert_pred_convert.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/p_is_some_anti_convert.con".
+inline procedural "cic:/CoRN/algebra/Basics/p_is_some_anti_convert.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/convert_is_POS.con".
+inline procedural "cic:/CoRN/algebra/Basics/convert_is_POS.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/min_convert_is_NEG.con".
+inline procedural "cic:/CoRN/algebra/Basics/min_convert_is_NEG.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/inject_nat_convert.con".
+inline procedural "cic:/CoRN/algebra/Basics/inject_nat_convert.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/Z_exh.con".
+inline procedural "cic:/CoRN/algebra/Basics/Z_exh.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/nats_Z_ind.con".
+inline procedural "cic:/CoRN/algebra/Basics/nats_Z_ind.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/pred_succ_Z_ind.con".
+inline procedural "cic:/CoRN/algebra/Basics/pred_succ_Z_ind.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/Zmult_minus_distr_r.con".
+inline procedural "cic:/CoRN/algebra/Basics/Zmult_minus_distr_r.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/Zodd_Zeven_min1.con".
+inline procedural "cic:/CoRN/algebra/Basics/Zodd_Zeven_min1.con" as lemma.
(* begin hide *)
(* end hide *)
-inline procedural "cic:/CoRN/algebra/Basics/caseZ_diff.con".
+inline procedural "cic:/CoRN/algebra/Basics/caseZ_diff.con" as definition.
(* begin hide *)
(* end hide *)
-inline procedural "cic:/CoRN/algebra/Basics/caseZ_diff_O.con".
+inline procedural "cic:/CoRN/algebra/Basics/caseZ_diff_O.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/caseZ_diff_Pos.con".
+inline procedural "cic:/CoRN/algebra/Basics/caseZ_diff_Pos.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/caseZ_diff_Neg.con".
+inline procedural "cic:/CoRN/algebra/Basics/caseZ_diff_Neg.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/proper_caseZ_diff.con".
+inline procedural "cic:/CoRN/algebra/Basics/proper_caseZ_diff.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/diff_Z_ind.con".
+inline procedural "cic:/CoRN/algebra/Basics/diff_Z_ind.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/Zlt_reg_mult_l.con".
+inline procedural "cic:/CoRN/algebra/Basics/Zlt_reg_mult_l.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/Zlt_opp.con".
+inline procedural "cic:/CoRN/algebra/Basics/Zlt_opp.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/Zlt_conv_mult_l.con".
+inline procedural "cic:/CoRN/algebra/Basics/Zlt_conv_mult_l.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/Zgt_not_eq.con".
+inline procedural "cic:/CoRN/algebra/Basics/Zgt_not_eq.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/Zmult_absorb.con".
+inline procedural "cic:/CoRN/algebra/Basics/Zmult_absorb.con" as lemma.
(* UNEXPORTED
Section Well_foundedT
alias id "A" = "cic:/CoRN/algebra/Basics/AccT/A.var".
-inline procedural "cic:/CoRN/algebra/Basics/well_founded.con".
+inline procedural "cic:/CoRN/algebra/Basics/well_founded.con" as definition.
(* UNEXPORTED
End AccT
alias id "F" = "cic:/CoRN/algebra/Basics/IndT/AccIter/F.var".
-inline procedural "cic:/CoRN/algebra/Basics/Acc_inv.con".
+inline procedural "cic:/CoRN/algebra/Basics/Acc_inv.con" as lemma.
-inline procedural "cic:/CoRN/algebra/Basics/Acc_iter.con".
+inline procedural "cic:/CoRN/algebra/Basics/Acc_iter.con" as definition.
(* UNEXPORTED
End AccIter
alias id "Rwf" = "cic:/CoRN/algebra/Basics/IndT/Rwf.var".
-inline procedural "cic:/CoRN/algebra/Basics/well_founded_induction_type.con".
+inline procedural "cic:/CoRN/algebra/Basics/well_founded_induction_type.con" as theorem.
(* UNEXPORTED
End IndT
alias id "f" = "cic:/CoRN/algebra/Basics/InductionT/f.var".
-inline procedural "cic:/CoRN/algebra/Basics/ltof.con".
+inline procedural "cic:/CoRN/algebra/Basics/ltof.con" as definition.
-inline procedural "cic:/CoRN/algebra/Basics/well_founded_ltof.con".
+inline procedural "cic:/CoRN/algebra/Basics/well_founded_ltof.con" as theorem.
-inline procedural "cic:/CoRN/algebra/Basics/induction_ltof2T.con".
+inline procedural "cic:/CoRN/algebra/Basics/induction_ltof2T.con" as theorem.
(* UNEXPORTED
End InductionT
Section InductionTT
*)
-inline procedural "cic:/CoRN/algebra/Basics/lt_wf_rect.con".
+inline procedural "cic:/CoRN/algebra/Basics/lt_wf_rect.con" as lemma.
(* UNEXPORTED
End InductionTT