include "basic_1/flt/defs.ma".
-theorem flt_wf__q_ind:
+fact flt_wf__q_ind:
\forall (P: ((C \to (T \to Prop)))).(((\forall (n: nat).((\lambda (P0: ((C
\to (T \to Prop)))).(\lambda (n0: nat).(\forall (c: C).(\forall (t: T).((eq
nat (fweight c t) n0) \to (P0 c t)))))) P n))) \to (\forall (c: C).(\forall
C).(\forall (t: T).((eq nat (fweight c t) n) \to (P c t))))))).(\lambda (c:
C).(\lambda (t: T).(H (fweight c t) c t (refl_equal nat (fweight c t))))))).
-theorem flt_wf_ind:
+lemma flt_wf_ind:
\forall (P: ((C \to (T \to Prop)))).(((\forall (c2: C).(\forall (t2:
T).(((\forall (c1: C).(\forall (t1: T).((flt c1 t1 c2 t2) \to (P c1 t1)))))
\to (P c2 t2))))) \to (\forall (c: C).(\forall (t: T).(P c t))))