Zulip Chat Archive
Stream: mathlib4
Topic: bump/v4.4.0
Scott Morrison (Dec 02 2023 at 00:51):
The following change:
diff --git a/Mathlib/Analysis/Seminorm.lean b/Mathlib/Analysis/Seminorm.lean
index dd23743308..bc2ebe4899 100644
--- a/Mathlib/Analysis/Seminorm.lean
+++ b/Mathlib/Analysis/Seminorm.lean
@@ -919,31 +919,6 @@ theorem closedBall_finset_sup (p : ฮน โ Seminorm ๐ E) (s : Finset ฮน) (x :
exact closedBall_finset_sup_eq_iInter _ _ _ hr
#align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
-theorem ball_smul_ball (p : Seminorm ๐ E) (rโ rโ : โ) :
- Metric.ball (0 : ๐) rโ โข p.ball 0 rโ โ p.ball 0 (rโ * rโ) := by
- rw [Set.subset_def]
- intro x hx
- rw [Set.mem_smul] at hx
- rcases hx with โจa, y, ha, hy, hxโฉ
- rw [โ hx, mem_ball_zero, map_smul_eq_mul]
- gcongr
- ยท exact mem_ball_zero_iff.mp ha
- ยท exact p.mem_ball_zero.mp hy
-#align seminorm.ball_smul_ball Seminorm.ball_smul_ball
-
-theorem closedBall_smul_closedBall (p : Seminorm ๐ E) (rโ rโ : โ) :
- Metric.closedBall (0 : ๐) rโ โข p.closedBall 0 rโ โ p.closedBall 0 (rโ * rโ) := by
- rw [Set.subset_def]
- intro x hx
- rw [Set.mem_smul] at hx
- rcases hx with โจa, y, ha, hy, hxโฉ
- rw [โ hx, mem_closedBall_zero, map_smul_eq_mul]
- rw [mem_closedBall_zero_iff] at ha
- gcongr
- ยท exact (norm_nonneg a).trans ha
- ยท exact p.mem_closedBall_zero.mp hy
-#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
-
@[simp]
theorem ball_eq_emptyset (p : Seminorm ๐ E) {x : E} {r : โ} (hr : r โค 0) : p.ball x r = โ
:= by
ext
@@ -959,6 +934,37 @@ theorem closedBall_eq_emptyset (p : Seminorm ๐ E) {x : E} {r : โ} (hr : r <
exact hr.trans_le (map_nonneg _ _)
#align seminorm.closed_ball_eq_emptyset Seminorm.closedBall_eq_emptyset
+theorem closedBall_smul_ball (p : Seminorm ๐ E) {rโ : โ} (hrโ : rโ โ 0) (rโ : โ) :
+ Metric.closedBall (0 : ๐) rโ โข p.ball 0 rโ โ p.ball 0 (rโ * rโ) := by
+ simp only [smul_subset_iff, mem_ball_zero, mem_closedBall_zero_iff, map_smul_eq_mul]
+ refine fun a ha b hb โฆ mul_lt_mul' ha hb (map_nonneg _ _) ?_
+ exact hrโ.lt_or_lt.resolve_left <| ((norm_nonneg a).trans ha).not_lt
+
+theorem ball_smul_closedBall (p : Seminorm ๐ E) (rโ : โ) {rโ : โ} (hrโ : rโ โ 0) :
+ Metric.ball (0 : ๐) rโ โข p.closedBall 0 rโ โ p.ball 0 (rโ * rโ) := by
+ simp only [smul_subset_iff, mem_ball_zero, mem_closedBall_zero, mem_ball_zero_iff,
+ map_smul_eq_mul]
+ intro a ha b hb
+ rw [mul_comm, mul_comm rโ]
+ refine mul_lt_mul' hb ha (norm_nonneg _) (hrโ.lt_or_lt.resolve_left ?_)
+ exact ((map_nonneg p b).trans hb).not_lt
+
+theorem ball_smul_ball (p : Seminorm ๐ E) (rโ rโ : โ) :
+ Metric.ball (0 : ๐) rโ โข p.ball 0 rโ โ p.ball 0 (rโ * rโ) := by
+ rcases eq_or_ne rโ 0 with rfl | hrโ
+ ยท simp
+ ยท exact (smul_subset_smul_left (ball_subset_closedBall _ _ _)).trans
+ (ball_smul_closedBall _ _ hrโ)
+#align seminorm.ball_smul_ball Seminorm.ball_smul_ball
+
+theorem closedBall_smul_closedBall (p : Seminorm ๐ E) (rโ rโ : โ) :
+ Metric.closedBall (0 : ๐) rโ โข p.closedBall 0 rโ โ p.closedBall 0 (rโ * rโ) := by
+ simp only [smul_subset_iff, mem_closedBall_zero, mem_closedBall_zero_iff, map_smul_eq_mul]
+ intro a ha b hb
+ gcongr
+ exact (norm_nonneg _).trans ha
+#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
+
-- Porting note: TODO: make that an `iff`
theorem neg_mem_ball_zero (r : โ) (hx : x โ ball p 0 r) : -x โ ball p 0 r := by
simpa only [mem_ball_zero, map_neg_eq_map] using hx
Scott Morrison (Dec 02 2023 at 00:52):
has ended up on the bump/v4.4.0
branch, relative to master
. It looks like a postive change to me (adds some lemmas), but I can't work out how it ended up on bump/v4.4.0
.
Scott Morrison (Dec 02 2023 at 00:52):
Does anyone recognise this?
Scott Morrison (Dec 02 2023 at 00:53):
I am going to remove it from bump/v4.4.0
now, and then merge that to master
. If anyone wants to preserve this diff, this stream will be the only record of it!
Eric Wieser (Dec 02 2023 at 07:11):
#8724 is the PR that added these to master
Ruben Van de Velde (Dec 02 2023 at 07:17):
#8725 moved the two theorems and removed the recently added ones, possibly accidentally
Ruben Van de Velde (Dec 02 2023 at 07:20):
Cc @Yury G. Kudryashov
Yury G. Kudryashov (Dec 02 2023 at 08:43):
@Ruben Van de Velde Thank you! It's a git rebase
went wrong: #8724 used to be a part of #8725, then I moved it to a new branch and reverted in #8725. Then I git rebase
d...
Yury G. Kudryashov (Dec 02 2023 at 08:43):
I'll fix it now
Yury G. Kudryashov (Dec 02 2023 at 08:46):
Last updated: Dec 20 2023 at 11:08 UTC