diff options
Diffstat (limited to 'plugins/setoid_ring/Field_theory.v')
| -rw-r--r-- | plugins/setoid_ring/Field_theory.v | 9 |
1 files changed, 6 insertions, 3 deletions
diff --git a/plugins/setoid_ring/Field_theory.v b/plugins/setoid_ring/Field_theory.v index ad7fbd871..16f9b9723 100644 --- a/plugins/setoid_ring/Field_theory.v +++ b/plugins/setoid_ring/Field_theory.v @@ -1168,7 +1168,8 @@ induction fe; simpl condition; rewrite ?PCond_cons, ?PCond_app; simpl; assert (U2 := split_ok_r (num F1) (num F2) l). assert (U3 := split_ok_l (denum F1) (denum F2) l). assert (U4 := split_ok_r (denum F1) (denum F2) l). - rewrite (IHfe1 Hc2), (IHfe2 Hc3), U1, U2, U3, U4; apply rdiv7b; + rewrite (IHfe1 Hc2), (IHfe2 Hc3), U1, U2, U3, U4. + simpl in U2, U3, U4. apply rdiv7b; rewrite <- ?U2, <- ?U3, <- ?U4; try apply Pcond_Fnorm; trivial. - rewrite !NPEpow_ok. simpl. rewrite !rpow_pow, (IHfe Hc). @@ -1274,6 +1275,9 @@ Qed. (* simplify a field equation : generate the crossproduct and simplify polynomials *) +(** This allows rewriting modulo the simplification of PEeval on PMul *) +Declare Equivalent Keys PEeval rmul. + Theorem Field_simplify_eq_correct : forall n l lpe fe1 fe2, Ninterp_PElist l lpe -> @@ -1294,8 +1298,7 @@ rewrite (split_ok_r (denum nfe1) (denum nfe2) l), eq3. simpl. rewrite !rmul_assoc. apply rmul_ext; trivial. -rewrite - (ring_rw_correct n lpe l Hlpe Logic.eq_refl (num nfe1 * right den) Logic.eq_refl), +rewrite (ring_rw_correct n lpe l Hlpe Logic.eq_refl (num nfe1 * right den) Logic.eq_refl), (ring_rw_correct n lpe l Hlpe Logic.eq_refl (num nfe2 * left den) Logic.eq_refl). rewrite Hlmp. apply Hcrossprod. |