One, two and four are all bigger than zero.
*)
-inline procedural "cic:/CoRN/model/structures/Qpossec/pos_QONE.con".
+inline procedural "cic:/CoRN/model/structures/Qpossec/pos_QONE.con" as lemma.
-inline procedural "cic:/CoRN/model/structures/Qpossec/pos_QTWO.con".
+inline procedural "cic:/CoRN/model/structures/Qpossec/pos_QTWO.con" as lemma.
-inline procedural "cic:/CoRN/model/structures/Qpossec/pos_QFOUR.con".
+inline procedural "cic:/CoRN/model/structures/Qpossec/pos_QFOUR.con" as lemma.
(*#* A positive rational is not zero.
*)
-inline procedural "cic:/CoRN/model/structures/Qpossec/pos_imp_nonzero.con".
+inline procedural "cic:/CoRN/model/structures/Qpossec/pos_imp_nonzero.con" as definition.
(*#* ***Multiplication
The product of two positive rationals is again positive.
*)
-inline procedural "cic:/CoRN/model/structures/Qpossec/Qmult_pres_pos0.con".
+inline procedural "cic:/CoRN/model/structures/Qpossec/Qmult_pres_pos0.con" as lemma.
(*#* ***Inverse
The inverse of a positive rational is again positive.
*)
-inline procedural "cic:/CoRN/model/structures/Qpossec/inv_pres_pos0.con".
+inline procedural "cic:/CoRN/model/structures/Qpossec/inv_pres_pos0.con" as lemma.
(*#* ***Special multiplication
Now we will investigate the function $(x,y) \mapsto xy/2$#(x,y)
\mapsto 4/x$ #x ↦ 4/x#.
*)
-inline procedural "cic:/CoRN/model/structures/Qpossec/QTWOpos_is_rht_unit0.con".
+inline procedural "cic:/CoRN/model/structures/Qpossec/QTWOpos_is_rht_unit0.con" as lemma.
-inline procedural "cic:/CoRN/model/structures/Qpossec/QTWOpos_is_left_unit0.con".
+inline procedural "cic:/CoRN/model/structures/Qpossec/QTWOpos_is_left_unit0.con" as lemma.
-inline procedural "cic:/CoRN/model/structures/Qpossec/multdiv2_is_inv.con".
+inline procedural "cic:/CoRN/model/structures/Qpossec/multdiv2_is_inv.con" as lemma.