diff options
Diffstat (limited to 'theories/Reals/Rfunctions.v')
| -rw-r--r-- | theories/Reals/Rfunctions.v | 10 |
1 files changed, 6 insertions, 4 deletions
diff --git a/theories/Reals/Rfunctions.v b/theories/Reals/Rfunctions.v index 1eee8d852..c0cd78649 100644 --- a/theories/Reals/Rfunctions.v +++ b/theories/Reals/Rfunctions.v @@ -557,6 +557,7 @@ Proof. (* POS/POS *) rewrite Pplus_plus; auto with real. (* POS/NEG *) + rewrite Z.pos_sub_spec. case Pcompare_spec; intros; simpl. subst; auto with real. rewrite Pminus_minus by trivial. @@ -568,16 +569,17 @@ Proof. rewrite plus_comm, le_plus_minus_r by (now apply lt_le_weak, Plt_lt). reflexivity. (* NEG/POS *) + rewrite Z.pos_sub_spec. case Pcompare_spec; intros; simpl. subst; auto with real. rewrite Pminus_minus by trivial. - rewrite (pow_RN_plus x _ (nat_of_P n1)) by auto with real. - rewrite plus_comm, le_plus_minus_r by (now apply lt_le_weak, Plt_lt). - auto with real. - rewrite Pminus_minus by trivial. rewrite (pow_RN_plus x _ (nat_of_P m1)) by auto with real. rewrite plus_comm, le_plus_minus_r by (now apply lt_le_weak, Plt_lt). rewrite Rinv_mult_distr, Rinv_involutive; auto with real. + rewrite Pminus_minus by trivial. + rewrite (pow_RN_plus x _ (nat_of_P n1)) by auto with real. + rewrite plus_comm, le_plus_minus_r by (now apply lt_le_weak, Plt_lt). + auto with real. (* NEG/NEG *) rewrite Pplus_plus; auto with real. intros H'; rewrite pow_add; auto with real. |