-set "baseuri" "cic:/matita/TPTP/BOO075-1".
+
inductive eq (A:Type) (x:A) : A \to Prop \def refl_eq : eq A x x.
qed.
default "equality"
- cic:/matita/TPTP/BOO075-1/eq.ind
- cic:/matita/TPTP/BOO075-1/sym_eq.con
- cic:/matita/TPTP/BOO075-1/trans_eq.con
- cic:/matita/TPTP/BOO075-1/eq_ind.con
- cic:/matita/TPTP/BOO075-1/eq_elim_r.con
- cic:/matita/TPTP/BOO075-1/eq_rec.con
- cic:/matita/TPTP/BOO075-1/eq_elim_r'.con
- cic:/matita/TPTP/BOO075-1/eq_rect.con
- cic:/matita/TPTP/BOO075-1/eq_elim_r''.con
- cic:/matita/TPTP/BOO075-1/eq_f.con
- cic:/matita/TPTP/BOO075-1/eq_f1.con.
+ cic:/matita/tests/paramodulation/BOO075-1/eq.ind
+ cic:/matita/tests/paramodulation/BOO075-1/sym_eq.con
+ cic:/matita/tests/paramodulation/BOO075-1/trans_eq.con
+ cic:/matita/tests/paramodulation/BOO075-1/eq_ind.con
+ cic:/matita/tests/paramodulation/BOO075-1/eq_elim_r.con
+ cic:/matita/tests/paramodulation/BOO075-1/eq_rec.con
+ cic:/matita/tests/paramodulation/BOO075-1/eq_elim_r'.con
+ cic:/matita/tests/paramodulation/BOO075-1/eq_rect.con
+ cic:/matita/tests/paramodulation/BOO075-1/eq_elim_r''.con
+ cic:/matita/tests/paramodulation/BOO075-1/eq_f.con
+ cic:/matita/tests/paramodulation/BOO075-1/eq_f1.con.
theorem eq_f: \forall A,B:Type.\forall f:A\to B.
\forall x,y:A. eq A x y \to eq B (f x) (f y).
inductive ex (A:Type) (P:A \to Prop) : Prop \def
ex_intro: \forall x:A. P x \to ex A P.
interpretation "exists" 'exists \eta.x =
- (cic:/matita/TPTP/BOO075-1/ex.ind#xpointer(1/1) _ x).
+ (cic:/matita/tests/paramodulation/BOO075-1/ex.ind#xpointer(1/1) _ x).
notation < "hvbox(\exists ident i opt (: ty) break . p)"
right associative with precedence 20