Fact eq_rect_bitwp' : forall a b Heq f w1 w2,
  eq_rect b word (bitwp f w1 w2) a Heq = bitwp f (eq_rect b word w1 a Heq) (eq_rect b word w2 a Heq).Fact eq_rect_bitwp_1 : forall a b Heq f w1 w2,
  bitwp f (eq_rect a word w1 b Heq) w2 = eq_rect a word (bitwp f w1 (eq_rect b word w2 a (eq_sym Heq))) b Heq.

Lemma wxor_wzero : forall sz w, wxor (wzero sz) w = w.