analysis.sum_integral_comparisons | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

9003f287

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

fd4551cf

bump to nightly-2024-04-06-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

e34029c9

Diff

@@ -107,7 +107,7 @@ theorem AntitoneOn.integral_le_sum_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.I
     ext
     rw [Nat.cast_add]
   apply AntitoneOn.integral_le_sum
-  simp only [hf, hab, Nat.cast_sub, add_sub_cancel'_right]
+  simp only [hf, hab, Nat.cast_sub, add_sub_cancel]
 #align antitone_on.integral_le_sum_Ico AntitoneOn.integral_le_sum_Ico
 -/
 
@@ -170,7 +170,7 @@ theorem AntitoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.I
     ext
     rw [add_assoc, Nat.cast_add]
   apply AntitoneOn.sum_le_integral
-  simp only [hf, hab, Nat.cast_sub, add_sub_cancel'_right]
+  simp only [hf, hab, Nat.cast_sub, add_sub_cancel]
 #align antitone_on.sum_le_integral_Ico AntitoneOn.sum_le_integral_Ico
 -/

fd4551cf

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2022 Kevin H. Wilson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin H. Wilson
 -/
-import Mathbin.MeasureTheory.Integral.IntervalIntegral
-import Mathbin.Data.Set.Function
-import Mathbin.Analysis.SpecialFunctions.Integrals
+import MeasureTheory.Integral.IntervalIntegral
+import Data.Set.Function
+import Analysis.SpecialFunctions.Integrals
 
 #align_import analysis.sum_integral_comparisons from "leanprover-community/mathlib"@"fd4551cfe4b7484b81c2c9ba3405edae27659676"

fd4551cf

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Kevin H. Wilson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin H. Wilson
-
-! This file was ported from Lean 3 source module analysis.sum_integral_comparisons
-! leanprover-community/mathlib commit fd4551cfe4b7484b81c2c9ba3405edae27659676
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.MeasureTheory.Integral.IntervalIntegral
 import Mathbin.Data.Set.Function
 import Mathbin.Analysis.SpecialFunctions.Integrals
 
+#align_import analysis.sum_integral_comparisons from "leanprover-community/mathlib"@"fd4551cfe4b7484b81c2c9ba3405edae27659676"
+
 /-!
 # Comparing sums and integrals

fd4551cf

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -53,6 +53,7 @@ open scoped BigOperators
 
 variable {x₀ : ℝ} {a b : ℕ} {f : ℝ → ℝ}
 
+#print AntitoneOn.integral_le_sum /-
 theorem AntitoneOn.integral_le_sum (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
     ∫ x in x₀..x₀ + a, f x ≤ ∑ i in Finset.range a, f (x₀ + i) :=
   by
@@ -83,7 +84,9 @@ theorem AntitoneOn.integral_le_sum (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
         simp only [add_le_add_iff_left, Nat.cast_le, Nat.succ_le_of_lt ia]
     _ = ∑ i in Finset.range a, f (x₀ + i) := by simp
 #align antitone_on.integral_le_sum AntitoneOn.integral_le_sum
+-/
 
+#print AntitoneOn.integral_le_sum_Ico /-
 theorem AntitoneOn.integral_le_sum_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.Icc a b)) :
     ∫ x in a..b, f x ≤ ∑ x in Finset.Ico a b, f x :=
   by
@@ -109,7 +112,9 @@ theorem AntitoneOn.integral_le_sum_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.I
   apply AntitoneOn.integral_le_sum
   simp only [hf, hab, Nat.cast_sub, add_sub_cancel'_right]
 #align antitone_on.integral_le_sum_Ico AntitoneOn.integral_le_sum_Ico
+-/
 
+#print AntitoneOn.sum_le_integral /-
 theorem AntitoneOn.sum_le_integral (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
     ∑ i in Finset.range a, f (x₀ + (i + 1 : ℕ)) ≤ ∫ x in x₀..x₀ + a, f x :=
   by
@@ -143,7 +148,9 @@ theorem AntitoneOn.sum_le_integral (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
       convert intervalIntegral.sum_integral_adjacent_intervals hint
       simp only [Nat.cast_zero, add_zero]
 #align antitone_on.sum_le_integral AntitoneOn.sum_le_integral
+-/
 
+#print AntitoneOn.sum_le_integral_Ico /-
 theorem AntitoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.Icc a b)) :
     ∑ i in Finset.Ico a b, f (i + 1 : ℕ) ≤ ∫ x in a..b, f x :=
   by
@@ -168,32 +175,41 @@ theorem AntitoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.I
   apply AntitoneOn.sum_le_integral
   simp only [hf, hab, Nat.cast_sub, add_sub_cancel'_right]
 #align antitone_on.sum_le_integral_Ico AntitoneOn.sum_le_integral_Ico
+-/
 
+#print MonotoneOn.sum_le_integral /-
 theorem MonotoneOn.sum_le_integral (hf : MonotoneOn f (Icc x₀ (x₀ + a))) :
     ∑ i in Finset.range a, f (x₀ + i) ≤ ∫ x in x₀..x₀ + a, f x :=
   by
   rw [← neg_le_neg_iff, ← Finset.sum_neg_distrib, ← intervalIntegral.integral_neg]
   exact hf.neg.integral_le_sum
 #align monotone_on.sum_le_integral MonotoneOn.sum_le_integral
+-/
 
+#print MonotoneOn.sum_le_integral_Ico /-
 theorem MonotoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : MonotoneOn f (Set.Icc a b)) :
     ∑ x in Finset.Ico a b, f x ≤ ∫ x in a..b, f x :=
   by
   rw [← neg_le_neg_iff, ← Finset.sum_neg_distrib, ← intervalIntegral.integral_neg]
   exact hf.neg.integral_le_sum_Ico hab
 #align monotone_on.sum_le_integral_Ico MonotoneOn.sum_le_integral_Ico
+-/
 
+#print MonotoneOn.integral_le_sum /-
 theorem MonotoneOn.integral_le_sum (hf : MonotoneOn f (Icc x₀ (x₀ + a))) :
     ∫ x in x₀..x₀ + a, f x ≤ ∑ i in Finset.range a, f (x₀ + (i + 1 : ℕ)) :=
   by
   rw [← neg_le_neg_iff, ← Finset.sum_neg_distrib, ← intervalIntegral.integral_neg]
   exact hf.neg.sum_le_integral
 #align monotone_on.integral_le_sum MonotoneOn.integral_le_sum
+-/
 
+#print MonotoneOn.integral_le_sum_Ico /-
 theorem MonotoneOn.integral_le_sum_Ico (hab : a ≤ b) (hf : MonotoneOn f (Set.Icc a b)) :
     ∫ x in a..b, f x ≤ ∑ i in Finset.Ico a b, f (i + 1 : ℕ) :=
   by
   rw [← neg_le_neg_iff, ← Finset.sum_neg_distrib, ← intervalIntegral.integral_neg]
   exact hf.neg.sum_le_integral_Ico hab
 #align monotone_on.integral_le_sum_Ico MonotoneOn.integral_le_sum_Ico
+-/

fd4551cf

bump to nightly-2023-06-11-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c471da714c044131b90c133701e51b877c246677

6960a941

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin H. Wilson
 
 ! This file was ported from Lean 3 source module analysis.sum_integral_comparisons
-! leanprover-community/mathlib commit 9003f28797c0664a49e4179487267c494477d853
+! leanprover-community/mathlib commit fd4551cfe4b7484b81c2c9ba3405edae27659676
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Analysis.SpecialFunctions.Integrals
 /-!
 # Comparing sums and integrals
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 ## Summary
 
 It is often the case that error terms in analysis can be computed by comparing

9003f287

bump to nightly-2023-06-10-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3e83f0fa4391c8740f7d773a7a9b74e311ae2a3

3fdc57bc

Diff

@@ -51,7 +51,7 @@ open scoped BigOperators
 variable {x₀ : ℝ} {a b : ℕ} {f : ℝ → ℝ}
 
 theorem AntitoneOn.integral_le_sum (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
-    (∫ x in x₀..x₀ + a, f x) ≤ ∑ i in Finset.range a, f (x₀ + i) :=
+    ∫ x in x₀..x₀ + a, f x ≤ ∑ i in Finset.range a, f (x₀ + i) :=
   by
   have hint : ∀ k : ℕ, k < a → IntervalIntegrable f volume (x₀ + k) (x₀ + (k + 1 : ℕ)) :=
     by
@@ -63,7 +63,7 @@ theorem AntitoneOn.integral_le_sum (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
       · simp only [add_le_add_iff_left, Nat.cast_le, Nat.succ_le_of_lt hk]
     · simp only [add_le_add_iff_left, Nat.cast_le, Nat.le_succ]
   calc
-    (∫ x in x₀..x₀ + a, f x) = ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f x :=
+    ∫ x in x₀..x₀ + a, f x = ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f x :=
       by
       convert (intervalIntegral.sum_integral_adjacent_intervals hint).symm
       simp only [Nat.cast_zero, add_zero]
@@ -82,7 +82,7 @@ theorem AntitoneOn.integral_le_sum (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
 #align antitone_on.integral_le_sum AntitoneOn.integral_le_sum
 
 theorem AntitoneOn.integral_le_sum_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.Icc a b)) :
-    (∫ x in a..b, f x) ≤ ∑ x in Finset.Ico a b, f x :=
+    ∫ x in a..b, f x ≤ ∑ x in Finset.Ico a b, f x :=
   by
   rw [(Nat.sub_add_cancel hab).symm, Nat.cast_add]
   conv =>
@@ -108,7 +108,7 @@ theorem AntitoneOn.integral_le_sum_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.I
 #align antitone_on.integral_le_sum_Ico AntitoneOn.integral_le_sum_Ico
 
 theorem AntitoneOn.sum_le_integral (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
-    (∑ i in Finset.range a, f (x₀ + (i + 1 : ℕ))) ≤ ∫ x in x₀..x₀ + a, f x :=
+    ∑ i in Finset.range a, f (x₀ + (i + 1 : ℕ)) ≤ ∫ x in x₀..x₀ + a, f x :=
   by
   have hint : ∀ k : ℕ, k < a → IntervalIntegrable f volume (x₀ + k) (x₀ + (k + 1 : ℕ)) :=
     by
@@ -120,7 +120,7 @@ theorem AntitoneOn.sum_le_integral (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
       · simp only [add_le_add_iff_left, Nat.cast_le, Nat.succ_le_of_lt hk]
     · simp only [add_le_add_iff_left, Nat.cast_le, Nat.le_succ]
   calc
-    (∑ i in Finset.range a, f (x₀ + (i + 1 : ℕ))) =
+    ∑ i in Finset.range a, f (x₀ + (i + 1 : ℕ)) =
         ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f (x₀ + (i + 1 : ℕ)) :=
       by simp
     _ ≤ ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f x :=
@@ -142,7 +142,7 @@ theorem AntitoneOn.sum_le_integral (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
 #align antitone_on.sum_le_integral AntitoneOn.sum_le_integral
 
 theorem AntitoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.Icc a b)) :
-    (∑ i in Finset.Ico a b, f (i + 1 : ℕ)) ≤ ∫ x in a..b, f x :=
+    ∑ i in Finset.Ico a b, f (i + 1 : ℕ) ≤ ∫ x in a..b, f x :=
   by
   rw [(Nat.sub_add_cancel hab).symm, Nat.cast_add]
   conv =>
@@ -167,28 +167,28 @@ theorem AntitoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.I
 #align antitone_on.sum_le_integral_Ico AntitoneOn.sum_le_integral_Ico
 
 theorem MonotoneOn.sum_le_integral (hf : MonotoneOn f (Icc x₀ (x₀ + a))) :
-    (∑ i in Finset.range a, f (x₀ + i)) ≤ ∫ x in x₀..x₀ + a, f x :=
+    ∑ i in Finset.range a, f (x₀ + i) ≤ ∫ x in x₀..x₀ + a, f x :=
   by
   rw [← neg_le_neg_iff, ← Finset.sum_neg_distrib, ← intervalIntegral.integral_neg]
   exact hf.neg.integral_le_sum
 #align monotone_on.sum_le_integral MonotoneOn.sum_le_integral
 
 theorem MonotoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : MonotoneOn f (Set.Icc a b)) :
-    (∑ x in Finset.Ico a b, f x) ≤ ∫ x in a..b, f x :=
+    ∑ x in Finset.Ico a b, f x ≤ ∫ x in a..b, f x :=
   by
   rw [← neg_le_neg_iff, ← Finset.sum_neg_distrib, ← intervalIntegral.integral_neg]
   exact hf.neg.integral_le_sum_Ico hab
 #align monotone_on.sum_le_integral_Ico MonotoneOn.sum_le_integral_Ico
 
 theorem MonotoneOn.integral_le_sum (hf : MonotoneOn f (Icc x₀ (x₀ + a))) :
-    (∫ x in x₀..x₀ + a, f x) ≤ ∑ i in Finset.range a, f (x₀ + (i + 1 : ℕ)) :=
+    ∫ x in x₀..x₀ + a, f x ≤ ∑ i in Finset.range a, f (x₀ + (i + 1 : ℕ)) :=
   by
   rw [← neg_le_neg_iff, ← Finset.sum_neg_distrib, ← intervalIntegral.integral_neg]
   exact hf.neg.sum_le_integral
 #align monotone_on.integral_le_sum MonotoneOn.integral_le_sum
 
 theorem MonotoneOn.integral_le_sum_Ico (hab : a ≤ b) (hf : MonotoneOn f (Set.Icc a b)) :
-    (∫ x in a..b, f x) ≤ ∑ i in Finset.Ico a b, f (i + 1 : ℕ) :=
+    ∫ x in a..b, f x ≤ ∑ i in Finset.Ico a b, f (i + 1 : ℕ) :=
   by
   rw [← neg_le_neg_iff, ← Finset.sum_neg_distrib, ← intervalIntegral.integral_neg]
   exact hf.neg.sum_le_integral_Ico hab

9003f287

bump to nightly-2023-06-09-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

16afdc39

Diff

@@ -79,7 +79,6 @@ theorem AntitoneOn.integral_le_sum (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
       · refine' mem_Icc.2 ⟨le_trans (by simp) hx.1, le_trans hx.2 _⟩
         simp only [add_le_add_iff_left, Nat.cast_le, Nat.succ_le_of_lt ia]
     _ = ∑ i in Finset.range a, f (x₀ + i) := by simp
-    
 #align antitone_on.integral_le_sum AntitoneOn.integral_le_sum
 
 theorem AntitoneOn.integral_le_sum_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.Icc a b)) :
@@ -140,7 +139,6 @@ theorem AntitoneOn.sum_le_integral (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
       by
       convert intervalIntegral.sum_integral_adjacent_intervals hint
       simp only [Nat.cast_zero, add_zero]
-    
 #align antitone_on.sum_le_integral AntitoneOn.sum_le_integral
 
 theorem AntitoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.Icc a b)) :

9003f287

bump to nightly-2023-06-04-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

3fb4268b

Diff

@@ -65,7 +65,7 @@ theorem AntitoneOn.integral_le_sum (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
   calc
     (∫ x in x₀..x₀ + a, f x) = ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f x :=
       by
-      convert(intervalIntegral.sum_integral_adjacent_intervals hint).symm
+      convert (intervalIntegral.sum_integral_adjacent_intervals hint).symm
       simp only [Nat.cast_zero, add_zero]
     _ ≤ ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f (x₀ + i) :=
       by

9003f287

bump to nightly-2023-05-28-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

8d353152

Diff

@@ -46,7 +46,7 @@ analysis, comparison, asymptotics
 
 open Set MeasureTheory.MeasureSpace
 
-open BigOperators
+open scoped BigOperators
 
 variable {x₀ : ℝ} {a b : ℕ} {f : ℝ → ℝ}

9003f287

bump to nightly-2023-03-17-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

c85864d4

Diff

@@ -65,7 +65,7 @@ theorem AntitoneOn.integral_le_sum (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
   calc
     (∫ x in x₀..x₀ + a, f x) = ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f x :=
       by
-      convert (intervalIntegral.sum_integral_adjacent_intervals hint).symm
+      convert(intervalIntegral.sum_integral_adjacent_intervals hint).symm
       simp only [Nat.cast_zero, add_zero]
     _ ≤ ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f (x₀ + i) :=
       by

9003f287

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

9003f287

chore: Rename mul-div cancellation lemmas (#11530)

Lemma names around cancellation of multiplication and division are a mess.

This PR renames a handful of them according to the following table (each big row contains the multiplicative statement, then the three rows contain the GroupWithZero lemma name, the Group lemma, the AddGroup lemma name).

4ea4a86a

Diff

@@ -94,7 +94,7 @@ theorem AntitoneOn.integral_le_sum_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.I
     ext
     rw [Nat.cast_add]
   apply AntitoneOn.integral_le_sum
-  simp only [hf, hab, Nat.cast_sub, add_sub_cancel'_right]
+  simp only [hf, hab, Nat.cast_sub, add_sub_cancel]
 #align antitone_on.integral_le_sum_Ico AntitoneOn.integral_le_sum_Ico
 
 theorem AntitoneOn.sum_le_integral (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
@@ -146,7 +146,7 @@ theorem AntitoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : AntitoneOn f (Set.I
     ext
     rw [add_assoc, Nat.cast_add]
   apply AntitoneOn.sum_le_integral
-  simp only [hf, hab, Nat.cast_sub, add_sub_cancel'_right]
+  simp only [hf, hab, Nat.cast_sub, add_sub_cancel]
 #align antitone_on.sum_le_integral_Ico AntitoneOn.sum_le_integral_Ico
 
 theorem MonotoneOn.sum_le_integral (hf : MonotoneOn f (Icc x₀ (x₀ + a))) :

9003f287

chore: reduce imports (#9830)

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

f4c4ca61

Diff

@@ -5,7 +5,6 @@ Authors: Kevin H. Wilson
 -/
 import Mathlib.MeasureTheory.Integral.IntervalIntegral
 import Mathlib.Data.Set.Function
-import Mathlib.Analysis.SpecialFunctions.Integrals
 
 #align_import analysis.sum_integral_comparisons from "leanprover-community/mathlib"@"9003f28797c0664a49e4179487267c494477d853"

9003f287

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Kevin H. Wilson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kevin H. Wilson
-
-! This file was ported from Lean 3 source module analysis.sum_integral_comparisons
-! leanprover-community/mathlib commit 9003f28797c0664a49e4179487267c494477d853
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.MeasureTheory.Integral.IntervalIntegral
 import Mathlib.Data.Set.Function
 import Mathlib.Analysis.SpecialFunctions.Integrals
 
+#align_import analysis.sum_integral_comparisons from "leanprover-community/mathlib"@"9003f28797c0664a49e4179487267c494477d853"
+
 /-!
 # Comparing sums and integrals

9003f287

fix: ∑' precedence (#5615)

Also remove most superfluous parentheses around big operators (∑, ∏ and variants).
roughly the used regex: ([^a-zA-Zα-ωΑ-Ω'𝓝ℳ₀𝕂ₛ)]) $([∑∏][^()∑∏]*,[^()∑∏:]*)$ ([⊂⊆=<≤]) replaced by $1 $2 $3

03fc68aa

Diff

@@ -160,7 +160,7 @@ theorem MonotoneOn.sum_le_integral (hf : MonotoneOn f (Icc x₀ (x₀ + a))) :
 #align monotone_on.sum_le_integral MonotoneOn.sum_le_integral
 
 theorem MonotoneOn.sum_le_integral_Ico (hab : a ≤ b) (hf : MonotoneOn f (Set.Icc a b)) :
-    (∑ x in Finset.Ico a b, f x) ≤ ∫ x in a..b, f x := by
+    ∑ x in Finset.Ico a b, f x ≤ ∫ x in a..b, f x := by
   rw [← neg_le_neg_iff, ← Finset.sum_neg_distrib, ← intervalIntegral.integral_neg]
   exact hf.neg.integral_le_sum_Ico hab
 #align monotone_on.sum_le_integral_Ico MonotoneOn.sum_le_integral_Ico

9003f287

chore: remove superfluous parentheses around integrals (#5591)

5d442693

Diff

@@ -61,7 +61,7 @@ theorem AntitoneOn.integral_le_sum (hf : AntitoneOn f (Icc x₀ (x₀ + a))) :
       · simp only [add_le_add_iff_left, Nat.cast_le, Nat.succ_le_of_lt hk]
     · simp only [add_le_add_iff_left, Nat.cast_le, Nat.le_succ]
   calc
-    (∫ x in x₀..x₀ + a, f x) = ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f x := by
+    ∫ x in x₀..x₀ + a, f x = ∑ i in Finset.range a, ∫ x in x₀ + i..x₀ + (i + 1 : ℕ), f x := by
       convert (intervalIntegral.sum_integral_adjacent_intervals hint).symm
       simp only [Nat.cast_zero, add_zero]
     _ ≤ ∑ i in Finset.range a, ∫ _ in x₀ + i..x₀ + (i + 1 : ℕ), f (x₀ + i) := by

9003f287

feat: port Analysis.SumIntegralComparisons (#4902)

171a4422

`analysis.sum_integral_comparisons` ⟷ `Mathlib.Analysis.SumIntegralComparisons`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 1069

analysis.sum_integral_comparisons ⟷ Mathlib.Analysis.SumIntegralComparisons

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 1069

`analysis.sum_integral_comparisons` ⟷ `Mathlib.Analysis.SumIntegralComparisons`