@@ -327,17 +327,17 @@ lemma square_function_count (hJ : J ∈ 𝓙₆ t u₁) {s' : ℤ} :
327327 intro I
328328 simp_rw [Finset.filter_filter, Finset.mem_filter_univ, mem_toFinset]
329329 exact fun H ↦ ⟨H.2 , H.1 .1 ⟩
330- · have (I : Grid X) : ball (c I) (8 * D ^ s I) = EMetric.ball (c I) (8 * D ^ s I) := by
331- trans EMetric.ball (c I) (show ℝ≥0 from ⟨8 * D ^ s I, by positivity⟩)
332- · rw [emetric_ball_nnreal ]; rfl
330+ · have (I : Grid X) : ball (c I) (8 * D ^ s I) = Metric.eball (c I) (8 * D ^ s I) := by
331+ trans Metric.eball (c I) (show ℝ≥0 from ⟨8 * D ^ s I, by positivity⟩)
332+ · rw [Metric.eball_coe ]; rfl
333333 · congr!
334334 simp only [ENNReal.coe_nnreal_eq, ← Real.rpow_intCast]
335335 erw [ENNReal.ofReal_mul (by norm_num)]
336336 rw [← ENNReal.ofReal_rpow_of_pos (by simp), ENNReal.ofReal_natCast]
337337 norm_num
338338 simp_rw [this]
339339 simp only [CharP.cast_eq_zero, nonpos_iff_eq_zero, Finset.sum_eq_zero_iff, Finset.mem_filter,
340- Finset.mem_univ, true_and, indicator_apply_eq_zero, EMetric.mem_ball , Pi.one_apply,
340+ Finset.mem_univ, true_and, indicator_apply_eq_zero, Metric.mem_eball , Pi.one_apply,
341341 one_ne_zero, imp_false, not_lt, and_imp]
342342 intro I e hI₁ _
343343 simp only [Grid.mem_def, mem_setOf_eq, not_and, not_le, supp, ← e] at hx'
@@ -388,7 +388,7 @@ lemma btp_expansion (hf : BoundedCompactSupport f) :
388388 _ = (∫⁻ x, ∑ J ∈ (𝓙₆ t u₁).toFinset, (J : Set X).indicator (fun _ ↦
389389 ‖⨍ y in J, ‖adjointCarlesonSum (t u₂ \ 𝔖₀ t u₁ u₂) f y‖‖ₑ ^ 2 ) x) ^ (2 : ℝ)⁻¹ := by
390390 unfold approxOnCube
391- simp_rw [eLpNorm_eq_lintegral_rpow_enorm two_ne_zero ENNReal.ofNat_ne_top,
391+ simp_rw [eLpNorm_eq_lintegral_rpow_enorm_toReal two_ne_zero ENNReal.ofNat_ne_top,
392392 ENNReal.toReal_ofNat, one_div]
393393 congr! with x; rw [ENNReal.enorm_sum_eq_sum_enorm]; swap
394394 · refine fun J mJ ↦ indicator_nonneg (fun y my ↦ ?_) _
@@ -682,8 +682,9 @@ lemma e764_postCS (hu₁ : u₁ ∈ t) (hu₂ : u₂ ∈ t) (hu : u₁ ≠ u₂)
682682 congr; rw [← lintegral_biUnion_finset _ fun _ _ ↦ coeGrid_measurable]; swap
683683 · rw [coe_toFinset]; exact pairwiseDisjoint_𝓙₆
684684 simp_rw [mem_toFinset, union_𝓙₆ hu₁, ← lintegral_indicator coeGrid_measurable,
685- eLpNorm_eq_lintegral_rpow_enorm two_ne_zero ENNReal.ofNat_ne_top, ENNReal.toReal_ofNat,
686- one_div, show (2 : ℝ) = (2 : ℕ) by rfl, ENNReal.rpow_natCast, enorm_eq_self]
685+ eLpNorm_eq_lintegral_rpow_enorm_toReal two_ne_zero ENNReal.ofNat_ne_top,
686+ ENNReal.toReal_ofNat, one_div, show (2 : ℝ) = (2 : ℕ) by rfl, ENNReal.rpow_natCast,
687+ enorm_eq_self]
687688 congr! with x
688689 simp_rw [sq, ← inter_indicator_mul, inter_self]
689690
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