Section TABLE2.
Variable E F G : Set.
Hypothesis eq_E_dec : eq_dec E.
Hypothesis eq_F_dec : eq_dec F.
Variable t : E -> F -> G.
Variable x0 : E.
Variable y0 : F.
Variable z0 : G.
Definition change_x0y0 :=
change_x0 E (F -> G) eq_E_dec t x0 (change_x0 F G eq_F_dec (t x0) y0 z0).

Lemma elsewhere2_x : forall x : E, x <> x0 -> change_x0y0 x = t x.