diff options
| author |  Hugo Herbelin <Hugo.Herbelin@inria.fr> | 2014-06-01 10:26:26 +0200 |
|---|---|---|
| committer | Hugo Herbelin <Hugo.Herbelin@inria.fr> | 2014-06-01 11:33:55 +0200 |
| commit | 76adb57c72fccb4f3e416bd7f3927f4fff72178b (patch) | |
| tree | f8d72073a2ea62d3e5c274c201ef06532ac57b61 /theories/Reals/Rtrigo_reg.v | |
| parent | be01deca2b8ff22505adaa66f55f005673bf2d85 (diff) | |
Making those proofs which depend on names generated for the arguments
in Prop of constructors of inductive types independent of these names.
Incidentally upgraded/simplified a couple of proofs, mainly in Reals.
This prepares to the next commit about using names based on H for such
hypotheses in Prop.
Diffstat (limited to 'theories/Reals/Rtrigo_reg.v')
| -rw-r--r-- | theories/Reals/Rtrigo_reg.v | 14 |
1 files changed, 7 insertions, 7 deletions
diff --git a/theories/Reals/Rtrigo_reg.v b/theories/Reals/Rtrigo_reg.v index fff4fec98..aafa3357e 100644 --- a/theories/Reals/Rtrigo_reg.v +++ b/theories/Reals/Rtrigo_reg.v @@ -176,14 +176,14 @@ Proof. intro; rewrite H9 in H8; rewrite H10 in H8. apply H8. unfold SFL, sin. - case (cv h); intros. - case (exist_sin (Rsqr h)); intros. + case (cv h) as (x,HUn). + case (exist_sin (Rsqr h)) as (x0,Hsin). unfold Rdiv; rewrite (Rinv_r_simpl_m h x0 H6). eapply UL_sequence. - apply u. - unfold sin_in in s; unfold sin_n, infinite_sum in s; + apply HUn. + unfold sin_in in Hsin; unfold sin_n, infinite_sum in Hsin; unfold SP, fn, Un_cv; intros. - elim (s _ H10); intros N0 H11. + elim (Hsin _ H10); intros N0 H11. exists N0; intros. unfold R_dist; unfold R_dist in H11. replace @@ -194,9 +194,9 @@ Proof. apply sum_eq; intros; apply Rmult_eq_compat_l; unfold Rsqr; rewrite pow_sqr; reflexivity. unfold SFL, sin. - case (cv 0); intros. + case (cv 0) as (?,HUn). eapply UL_sequence. - apply u. + apply HUn. unfold SP, fn; unfold Un_cv; intros; exists 1%nat; intros. unfold R_dist; replace |