data.analysis.filterMathlib.Data.Analysis.Filter

This file has been ported!

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

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -431,6 +431,12 @@ theorem tendsto_iff (f : α → β) {l₁ : Filter α} {l₂ : Filter β} (L₁
 #print Filter.Realizer.ne_bot_iff /-
 theorem ne_bot_iff {f : Filter α} (F : f.Realizer) : f ≠ ⊥ ↔ ∀ a : F.σ, (F.f a).Nonempty := by
   classical
+  rw [not_iff_comm, ← le_bot_iff, F.le_iff realizer.bot, Classical.not_forall]
+  simp only [Set.not_nonempty_iff_eq_empty]
+  exact
+    ⟨fun ⟨x, e⟩ _ => ⟨x, le_of_eq e⟩, fun h =>
+      let ⟨x, h⟩ := h ()
+      ⟨x, le_bot_iff.1 h⟩⟩
 #align filter.realizer.ne_bot_iff Filter.Realizer.ne_bot_iff
 -/
 
Diff
@@ -431,12 +431,6 @@ theorem tendsto_iff (f : α → β) {l₁ : Filter α} {l₂ : Filter β} (L₁
 #print Filter.Realizer.ne_bot_iff /-
 theorem ne_bot_iff {f : Filter α} (F : f.Realizer) : f ≠ ⊥ ↔ ∀ a : F.σ, (F.f a).Nonempty := by
   classical
-  rw [not_iff_comm, ← le_bot_iff, F.le_iff realizer.bot, Classical.not_forall]
-  simp only [Set.not_nonempty_iff_eq_empty]
-  exact
-    ⟨fun ⟨x, e⟩ _ => ⟨x, le_of_eq e⟩, fun h =>
-      let ⟨x, h⟩ := h ()
-      ⟨x, le_bot_iff.1 h⟩⟩
 #align filter.realizer.ne_bot_iff Filter.Realizer.ne_bot_iff
 -/
 
Diff
@@ -431,7 +431,7 @@ theorem tendsto_iff (f : α → β) {l₁ : Filter α} {l₂ : Filter β} (L₁
 #print Filter.Realizer.ne_bot_iff /-
 theorem ne_bot_iff {f : Filter α} (F : f.Realizer) : f ≠ ⊥ ↔ ∀ a : F.σ, (F.f a).Nonempty := by
   classical
-  rw [not_iff_comm, ← le_bot_iff, F.le_iff realizer.bot, not_forall]
+  rw [not_iff_comm, ← le_bot_iff, F.le_iff realizer.bot, Classical.not_forall]
   simp only [Set.not_nonempty_iff_eq_empty]
   exact
     ⟨fun ⟨x, e⟩ _ => ⟨x, le_of_eq e⟩, fun h =>
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2017 Mario Carneiro. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Mario Carneiro
 -/
-import Mathbin.Order.Filter.Cofinite
+import Order.Filter.Cofinite
 
 #align_import data.analysis.filter from "leanprover-community/mathlib"@"34ee86e6a59d911a8e4f89b68793ee7577ae79c7"
 
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2017 Mario Carneiro. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Mario Carneiro
-
-! This file was ported from Lean 3 source module data.analysis.filter
-! leanprover-community/mathlib commit 34ee86e6a59d911a8e4f89b68793ee7577ae79c7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Order.Filter.Cofinite
 
+#align_import data.analysis.filter from "leanprover-community/mathlib"@"34ee86e6a59d911a8e4f89b68793ee7577ae79c7"
+
 /-!
 # Computational realization of filters (experimental)
 
Diff
@@ -59,10 +59,12 @@ variable [PartialOrder α] (F : CFilter α σ)
 instance : CoeFun (CFilter α σ) fun _ => σ → α :=
   ⟨CFilter.f⟩
 
+#print CFilter.coe_mk /-
 @[simp]
 theorem coe_mk (f pt inf h₁ h₂ a) : (@CFilter.mk α σ _ f pt inf h₁ h₂) a = f a :=
   rfl
 #align cfilter.coe_mk CFilter.coe_mk
+-/
 
 #print CFilter.ofEquiv /-
 /-- Map a cfilter to an equivalent representation type. -/
@@ -76,13 +78,16 @@ def ofEquiv (E : σ ≃ τ) : CFilter α σ → CFilter α τ
 #align cfilter.of_equiv CFilter.ofEquiv
 -/
 
+#print CFilter.ofEquiv_val /-
 @[simp]
 theorem ofEquiv_val (E : σ ≃ τ) (F : CFilter α σ) (a : τ) : F.of_equiv E a = F (E.symm a) := by
   cases F <;> rfl
 #align cfilter.of_equiv_val CFilter.ofEquiv_val
+-/
 
 end
 
+#print CFilter.toFilter /-
 /-- The filter represented by a `cfilter` is the collection of supersets of
   elements of the filter base. -/
 def toFilter (F : CFilter (Set α) σ) : Filter α
@@ -94,11 +99,14 @@ def toFilter (F : CFilter (Set α) σ) : Filter α
     ⟨F.inf a b,
       subset_inter (Subset.trans (F.inf_le_left _ _) h₁) (Subset.trans (F.inf_le_right _ _) h₂)⟩
 #align cfilter.to_filter CFilter.toFilter
+-/
 
+#print CFilter.mem_toFilter_sets /-
 @[simp]
 theorem mem_toFilter_sets (F : CFilter (Set α) σ) {a : Set α} : a ∈ F.toFilter ↔ ∃ b, F b ⊆ a :=
   Iff.rfl
 #align cfilter.mem_to_filter_sets CFilter.mem_toFilter_sets
+-/
 
 end CFilter
 
@@ -111,16 +119,20 @@ structure Filter.Realizer (f : Filter α) where
 #align filter.realizer Filter.Realizer
 -/
 
+#print CFilter.toRealizer /-
 /-- A `cfilter` realizes the filter it generates. -/
 protected def CFilter.toRealizer (F : CFilter (Set α) σ) : F.toFilter.Realizer :=
   ⟨σ, F, rfl⟩
 #align cfilter.to_realizer CFilter.toRealizer
+-/
 
 namespace Filter.Realizer
 
+#print Filter.Realizer.mem_sets /-
 theorem mem_sets {f : Filter α} (F : f.Realizer) {a : Set α} : a ∈ f ↔ ∃ b, F.f b ⊆ a := by
   cases F <;> subst f <;> simp
 #align filter.realizer.mem_sets Filter.Realizer.mem_sets
+-/
 
 #print Filter.Realizer.ofEq /-
 /-- Transfer a realizer along an equality of filter. This has better definitional equalities than
@@ -155,15 +167,19 @@ def ofEquiv {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) : f.Realizer :=
 #align filter.realizer.of_equiv Filter.Realizer.ofEquiv
 -/
 
+#print Filter.Realizer.ofEquiv_σ /-
 @[simp]
 theorem ofEquiv_σ {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) : (F.of_equiv E).σ = τ :=
   rfl
 #align filter.realizer.of_equiv_σ Filter.Realizer.ofEquiv_σ
+-/
 
+#print Filter.Realizer.ofEquiv_F /-
 @[simp]
 theorem ofEquiv_F {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) (s : τ) :
     (F.of_equiv E).f s = F.f (E.symm s) := by delta of_equiv <;> simp
 #align filter.realizer.of_equiv_F Filter.Realizer.ofEquiv_F
+-/
 
 #print Filter.Realizer.principal /-
 /-- `unit` is a realizer for the principal filter -/
@@ -185,18 +201,22 @@ theorem principal_σ (s : Set α) : (Realizer.principal s).σ = Unit :=
 #align filter.realizer.principal_σ Filter.Realizer.principal_σ
 -/
 
+#print Filter.Realizer.principal_F /-
 @[simp]
 theorem principal_F (s : Set α) (u : Unit) : (Realizer.principal s).f u = s :=
   rfl
 #align filter.realizer.principal_F Filter.Realizer.principal_F
+-/
 
 instance (s : Set α) : Inhabited (principal s).Realizer :=
   ⟨Realizer.principal s⟩
 
+#print Filter.Realizer.top /-
 /-- `unit` is a realizer for the top filter -/
 protected def top : (⊤ : Filter α).Realizer :=
   (Realizer.principal _).of_eq principal_univ
 #align filter.realizer.top Filter.Realizer.top
+-/
 
 #print Filter.Realizer.top_σ /-
 @[simp]
@@ -205,15 +225,19 @@ theorem top_σ : (@Realizer.top α).σ = Unit :=
 #align filter.realizer.top_σ Filter.Realizer.top_σ
 -/
 
+#print Filter.Realizer.top_F /-
 @[simp]
 theorem top_F (u : Unit) : (@Realizer.top α).f u = univ :=
   rfl
 #align filter.realizer.top_F Filter.Realizer.top_F
+-/
 
+#print Filter.Realizer.bot /-
 /-- `unit` is a realizer for the bottom filter -/
 protected def bot : (⊥ : Filter α).Realizer :=
   (Realizer.principal _).of_eq principal_empty
 #align filter.realizer.bot Filter.Realizer.bot
+-/
 
 #print Filter.Realizer.bot_σ /-
 @[simp]
@@ -222,10 +246,12 @@ theorem bot_σ : (@Realizer.bot α).σ = Unit :=
 #align filter.realizer.bot_σ Filter.Realizer.bot_σ
 -/
 
+#print Filter.Realizer.bot_F /-
 @[simp]
 theorem bot_F (u : Unit) : (@Realizer.bot α).f u = ∅ :=
   rfl
 #align filter.realizer.bot_F Filter.Realizer.bot_F
+-/
 
 #print Filter.Realizer.map /-
 /-- Construct a realizer for `map m f` given a realizer for `f` -/
@@ -240,15 +266,19 @@ protected def map (m : α → β) {f : Filter α} (F : f.Realizer) : (map m f).R
 #align filter.realizer.map Filter.Realizer.map
 -/
 
+#print Filter.Realizer.map_σ /-
 @[simp]
 theorem map_σ (m : α → β) {f : Filter α} (F : f.Realizer) : (F.map m).σ = F.σ :=
   rfl
 #align filter.realizer.map_σ Filter.Realizer.map_σ
+-/
 
+#print Filter.Realizer.map_F /-
 @[simp]
 theorem map_F (m : α → β) {f : Filter α} (F : f.Realizer) (s) : (F.map m).f s = image m (F.f s) :=
   rfl
 #align filter.realizer.map_F Filter.Realizer.map_F
+-/
 
 #print Filter.Realizer.comap /-
 /-- Construct a realizer for `comap m f` given a realizer for `f` -/
@@ -268,6 +298,7 @@ protected def comap (m : α → β) {f : Filter β} (F : f.Realizer) : (comap m
 #align filter.realizer.comap Filter.Realizer.comap
 -/
 
+#print Filter.Realizer.sup /-
 /-- Construct a realizer for the sup of two filters -/
 protected def sup {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊔ g).Realizer :=
   ⟨F.σ × G.σ,
@@ -287,7 +318,9 @@ protected def sup {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊔ g
                 ⟨t, subset.trans (subset_union_right _ _) h⟩⟩,
               fun ⟨⟨s, h₁⟩, ⟨t, h₂⟩⟩ => ⟨s, t, union_subset h₁ h₂⟩⟩⟩
 #align filter.realizer.sup Filter.Realizer.sup
+-/
 
+#print Filter.Realizer.inf /-
 /-- Construct a realizer for the inf of two filters -/
 protected def inf {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊓ g).Realizer :=
   ⟨F.σ × G.σ,
@@ -309,6 +342,7 @@ protected def inf {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊓ g
     · rintro ⟨s, ⟨a, ha⟩, t, ⟨b, hb⟩, rfl⟩
       exact ⟨a, b, inter_subset_inter ha hb⟩⟩
 #align filter.realizer.inf Filter.Realizer.inf
+-/
 
 #print Filter.Realizer.cofinite /-
 /-- Construct a realizer for the cofinite filter -/
@@ -379,6 +413,7 @@ protected def prod {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f.Prod
 #align filter.realizer.prod Filter.Realizer.prod
 -/
 
+#print Filter.Realizer.le_iff /-
 theorem le_iff {f g : Filter α} (F : f.Realizer) (G : g.Realizer) :
     f ≤ g ↔ ∀ b : G.σ, ∃ a : F.σ, F.f a ≤ G.f b :=
   ⟨fun H t => F.mem_sets.1 (H (G.mem_sets.2 ⟨t, Subset.refl _⟩)), fun H x h =>
@@ -387,12 +422,16 @@ theorem le_iff {f g : Filter α} (F : f.Realizer) (G : g.Realizer) :
       let ⟨t, h₂⟩ := H s
       ⟨t, Subset.trans h₂ h₁⟩⟩
 #align filter.realizer.le_iff Filter.Realizer.le_iff
+-/
 
+#print Filter.Realizer.tendsto_iff /-
 theorem tendsto_iff (f : α → β) {l₁ : Filter α} {l₂ : Filter β} (L₁ : l₁.Realizer)
     (L₂ : l₂.Realizer) : Tendsto f l₁ l₂ ↔ ∀ b, ∃ a, ∀ x ∈ L₁.f a, f x ∈ L₂.f b :=
   (le_iff (L₁.map f) L₂).trans <| forall_congr' fun b => exists_congr fun a => image_subset_iff
 #align filter.realizer.tendsto_iff Filter.Realizer.tendsto_iff
+-/
 
+#print Filter.Realizer.ne_bot_iff /-
 theorem ne_bot_iff {f : Filter α} (F : f.Realizer) : f ≠ ⊥ ↔ ∀ a : F.σ, (F.f a).Nonempty := by
   classical
   rw [not_iff_comm, ← le_bot_iff, F.le_iff realizer.bot, not_forall]
@@ -402,6 +441,7 @@ theorem ne_bot_iff {f : Filter α} (F : f.Realizer) : f ≠ ⊥ ↔ ∀ a : F.σ
       let ⟨x, h⟩ := h ()
       ⟨x, le_bot_iff.1 h⟩⟩
 #align filter.realizer.ne_bot_iff Filter.Realizer.ne_bot_iff
+-/
 
 end Filter.Realizer
 
Diff
@@ -87,7 +87,7 @@ end
   elements of the filter base. -/
 def toFilter (F : CFilter (Set α) σ) : Filter α
     where
-  sets := { a | ∃ b, F b ⊆ a }
+  sets := {a | ∃ b, F b ⊆ a}
   univ_sets := ⟨F.pt, subset_univ _⟩
   sets_of_superset := fun x y ⟨b, h⟩ s => ⟨b, Subset.trans h s⟩
   inter_sets := fun x y ⟨a, h₁⟩ ⟨b, h₂⟩ =>
@@ -314,7 +314,7 @@ protected def inf {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊓ g
 /-- Construct a realizer for the cofinite filter -/
 protected def cofinite [DecidableEq α] : (@cofinite α).Realizer :=
   ⟨Finset α,
-    { f := fun s => { a | a ∉ s }
+    { f := fun s => {a | a ∉ s}
       pt := ∅
       inf := (· ∪ ·)
       inf_le_left := fun s t a => mt (Finset.mem_union_left _)
@@ -395,12 +395,12 @@ theorem tendsto_iff (f : α → β) {l₁ : Filter α} {l₂ : Filter β} (L₁
 
 theorem ne_bot_iff {f : Filter α} (F : f.Realizer) : f ≠ ⊥ ↔ ∀ a : F.σ, (F.f a).Nonempty := by
   classical
-    rw [not_iff_comm, ← le_bot_iff, F.le_iff realizer.bot, not_forall]
-    simp only [Set.not_nonempty_iff_eq_empty]
-    exact
-      ⟨fun ⟨x, e⟩ _ => ⟨x, le_of_eq e⟩, fun h =>
-        let ⟨x, h⟩ := h ()
-        ⟨x, le_bot_iff.1 h⟩⟩
+  rw [not_iff_comm, ← le_bot_iff, F.le_iff realizer.bot, not_forall]
+  simp only [Set.not_nonempty_iff_eq_empty]
+  exact
+    ⟨fun ⟨x, e⟩ _ => ⟨x, le_of_eq e⟩, fun h =>
+      let ⟨x, h⟩ := h ()
+      ⟨x, le_bot_iff.1 h⟩⟩
 #align filter.realizer.ne_bot_iff Filter.Realizer.ne_bot_iff
 
 end Filter.Realizer
Diff
@@ -330,7 +330,7 @@ protected def cofinite [DecidableEq α] : (@cofinite α).Realizer :=
 /-- Construct a realizer for filter bind -/
 protected def bind {f : Filter α} {m : α → Filter β} (F : f.Realizer) (G : ∀ i, (m i).Realizer) :
     (f.bind m).Realizer :=
-  ⟨Σs : F.σ, ∀ i ∈ F.f s, (G i).σ,
+  ⟨Σ s : F.σ, ∀ i ∈ F.f s, (G i).σ,
     { f := fun ⟨s, f⟩ => ⋃ i ∈ F.f s, (G i).f (f i H)
       pt := ⟨F.f.pt, fun i H => (G i).f.pt⟩
       inf := fun ⟨a, f⟩ ⟨b, f'⟩ =>
@@ -367,7 +367,7 @@ protected def iSup {f : α → Filter β} (F : ∀ i, (f i).Realizer) : (⨆ i,
     (Realizer.bind Realizer.top F).of_eq <|
       filter_eq <| Set.ext <| by simp [Filter.bind, eq_univ_iff_forall, supr_sets_eq]
   F'.of_equiv <|
-    show (Σu : Unit, ∀ i : α, True → (F i).σ) ≃ ∀ i, (F i).σ from
+    show (Σ u : Unit, ∀ i : α, True → (F i).σ) ≃ ∀ i, (F i).σ from
       ⟨fun ⟨_, f⟩ i => f i ⟨⟩, fun f => ⟨(), fun i _ => f i⟩, fun ⟨⟨⟩, f⟩ => by
         dsimp <;> congr <;> simp, fun f => rfl⟩
 #align filter.realizer.Sup Filter.Realizer.iSupₓ
Diff
@@ -59,12 +59,6 @@ variable [PartialOrder α] (F : CFilter α σ)
 instance : CoeFun (CFilter α σ) fun _ => σ → α :=
   ⟨CFilter.f⟩
 
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 @[simp]
 theorem coe_mk (f pt inf h₁ h₂ a) : (@CFilter.mk α σ _ f pt inf h₁ h₂) a = f a :=
   rfl
@@ -82,12 +76,6 @@ def ofEquiv (E : σ ≃ τ) : CFilter α σ → CFilter α τ
 #align cfilter.of_equiv CFilter.ofEquiv
 -/
 
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 @[simp]
 theorem ofEquiv_val (E : σ ≃ τ) (F : CFilter α σ) (a : τ) : F.of_equiv E a = F (E.symm a) := by
   cases F <;> rfl
@@ -95,12 +83,6 @@ theorem ofEquiv_val (E : σ ≃ τ) (F : CFilter α σ) (a : τ) : F.of_equiv E
 
 end
 
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 /-- The filter represented by a `cfilter` is the collection of supersets of
   elements of the filter base. -/
 def toFilter (F : CFilter (Set α) σ) : Filter α
@@ -113,12 +95,6 @@ def toFilter (F : CFilter (Set α) σ) : Filter α
       subset_inter (Subset.trans (F.inf_le_left _ _) h₁) (Subset.trans (F.inf_le_right _ _) h₂)⟩
 #align cfilter.to_filter CFilter.toFilter
 
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 @[simp]
 theorem mem_toFilter_sets (F : CFilter (Set α) σ) {a : Set α} : a ∈ F.toFilter ↔ ∃ b, F b ⊆ a :=
   Iff.rfl
@@ -135,12 +111,6 @@ structure Filter.Realizer (f : Filter α) where
 #align filter.realizer Filter.Realizer
 -/
 
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 /-- A `cfilter` realizes the filter it generates. -/
 protected def CFilter.toRealizer (F : CFilter (Set α) σ) : F.toFilter.Realizer :=
   ⟨σ, F, rfl⟩
@@ -148,12 +118,6 @@ protected def CFilter.toRealizer (F : CFilter (Set α) σ) : F.toFilter.Realizer
 
 namespace Filter.Realizer
 
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 theorem mem_sets {f : Filter α} (F : f.Realizer) {a : Set α} : a ∈ f ↔ ∃ b, F.f b ⊆ a := by
   cases F <;> subst f <;> simp
 #align filter.realizer.mem_sets Filter.Realizer.mem_sets
@@ -191,23 +155,11 @@ def ofEquiv {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) : f.Realizer :=
 #align filter.realizer.of_equiv Filter.Realizer.ofEquiv
 -/
 
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 @[simp]
 theorem ofEquiv_σ {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) : (F.of_equiv E).σ = τ :=
   rfl
 #align filter.realizer.of_equiv_σ Filter.Realizer.ofEquiv_σ
 
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 @[simp]
 theorem ofEquiv_F {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) (s : τ) :
     (F.of_equiv E).f s = F.f (E.symm s) := by delta of_equiv <;> simp
@@ -233,12 +185,6 @@ theorem principal_σ (s : Set α) : (Realizer.principal s).σ = Unit :=
 #align filter.realizer.principal_σ Filter.Realizer.principal_σ
 -/
 
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 @[simp]
 theorem principal_F (s : Set α) (u : Unit) : (Realizer.principal s).f u = s :=
   rfl
@@ -247,12 +193,6 @@ theorem principal_F (s : Set α) (u : Unit) : (Realizer.principal s).f u = s :=
 instance (s : Set α) : Inhabited (principal s).Realizer :=
   ⟨Realizer.principal s⟩
 
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 /-- `unit` is a realizer for the top filter -/
 protected def top : (⊤ : Filter α).Realizer :=
   (Realizer.principal _).of_eq principal_univ
@@ -265,23 +205,11 @@ theorem top_σ : (@Realizer.top α).σ = Unit :=
 #align filter.realizer.top_σ Filter.Realizer.top_σ
 -/
 
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 @[simp]
 theorem top_F (u : Unit) : (@Realizer.top α).f u = univ :=
   rfl
 #align filter.realizer.top_F Filter.Realizer.top_F
 
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 /-- `unit` is a realizer for the bottom filter -/
 protected def bot : (⊥ : Filter α).Realizer :=
   (Realizer.principal _).of_eq principal_empty
@@ -294,12 +222,6 @@ theorem bot_σ : (@Realizer.bot α).σ = Unit :=
 #align filter.realizer.bot_σ Filter.Realizer.bot_σ
 -/
 
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 @[simp]
 theorem bot_F (u : Unit) : (@Realizer.bot α).f u = ∅ :=
   rfl
@@ -318,23 +240,11 @@ protected def map (m : α → β) {f : Filter α} (F : f.Realizer) : (map m f).R
 #align filter.realizer.map Filter.Realizer.map
 -/
 
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 @[simp]
 theorem map_σ (m : α → β) {f : Filter α} (F : f.Realizer) : (F.map m).σ = F.σ :=
   rfl
 #align filter.realizer.map_σ Filter.Realizer.map_σ
 
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 @[simp]
 theorem map_F (m : α → β) {f : Filter α} (F : f.Realizer) (s) : (F.map m).f s = image m (F.f s) :=
   rfl
@@ -358,12 +268,6 @@ protected def comap (m : α → β) {f : Filter β} (F : f.Realizer) : (comap m
 #align filter.realizer.comap Filter.Realizer.comap
 -/
 
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 /-- Construct a realizer for the sup of two filters -/
 protected def sup {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊔ g).Realizer :=
   ⟨F.σ × G.σ,
@@ -384,12 +288,6 @@ protected def sup {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊔ g
               fun ⟨⟨s, h₁⟩, ⟨t, h₂⟩⟩ => ⟨s, t, union_subset h₁ h₂⟩⟩⟩
 #align filter.realizer.sup Filter.Realizer.sup
 
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 /-- Construct a realizer for the inf of two filters -/
 protected def inf {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊓ g).Realizer :=
   ⟨F.σ × G.σ,
@@ -481,12 +379,6 @@ protected def prod {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f.Prod
 #align filter.realizer.prod Filter.Realizer.prod
 -/
 
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 theorem le_iff {f g : Filter α} (F : f.Realizer) (G : g.Realizer) :
     f ≤ g ↔ ∀ b : G.σ, ∃ a : F.σ, F.f a ≤ G.f b :=
   ⟨fun H t => F.mem_sets.1 (H (G.mem_sets.2 ⟨t, Subset.refl _⟩)), fun H x h =>
@@ -496,23 +388,11 @@ theorem le_iff {f g : Filter α} (F : f.Realizer) (G : g.Realizer) :
       ⟨t, Subset.trans h₂ h₁⟩⟩
 #align filter.realizer.le_iff Filter.Realizer.le_iff
 
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-Case conversion may be inaccurate. Consider using '#align filter.realizer.tendsto_iff Filter.Realizer.tendsto_iffₓ'. -/
 theorem tendsto_iff (f : α → β) {l₁ : Filter α} {l₂ : Filter β} (L₁ : l₁.Realizer)
     (L₂ : l₂.Realizer) : Tendsto f l₁ l₂ ↔ ∀ b, ∃ a, ∀ x ∈ L₁.f a, f x ∈ L₂.f b :=
   (le_iff (L₁.map f) L₂).trans <| forall_congr' fun b => exists_congr fun a => image_subset_iff
 #align filter.realizer.tendsto_iff Filter.Realizer.tendsto_iff
 
-/- warning: filter.realizer.ne_bot_iff -> Filter.Realizer.ne_bot_iff is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align filter.realizer.ne_bot_iff Filter.Realizer.ne_bot_iffₓ'. -/
 theorem ne_bot_iff {f : Filter α} (F : f.Realizer) : f ≠ ⊥ ↔ ∀ a : F.σ, (F.f a).Nonempty := by
   classical
     rw [not_iff_comm, ← le_bot_iff, F.le_iff realizer.bot, not_forall]
Diff
@@ -86,7 +86,7 @@ def ofEquiv (E : σ ≃ τ) : CFilter α σ → CFilter α τ
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align cfilter.of_equiv_val CFilter.ofEquiv_valₓ'. -/
 @[simp]
 theorem ofEquiv_val (E : σ ≃ τ) (F : CFilter α σ) (a : τ) : F.of_equiv E a = F (E.symm a) := by
@@ -206,7 +206,7 @@ theorem ofEquiv_σ {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) : (F.of_eq
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 but is expected to have type
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+  forall {α : Type.{u3}} {τ : Type.{u1}} {f : Filter.{u3} α} (F : Filter.Realizer.{u3, u2} α f) (E : Equiv.{succ u2, succ u1} (Filter.Realizer.σ.{u3, u2} α f F) τ) (s : τ), Eq.{succ u3} (Set.{u3} α) (CFilter.f.{u3, u1} (Set.{u3} α) (Filter.Realizer.σ.{u3, u1} α f (Filter.Realizer.ofEquiv.{u3, u1, u2} α τ f F E)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} α) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} α) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} α) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} α) (Set.instCompleteBooleanAlgebraSet.{u3} α)))))) (Filter.Realizer.F.{u3, u1} α f (Filter.Realizer.ofEquiv.{u3, u1, u2} α τ f F E)) s) (CFilter.f.{u3, u2} (Set.{u3} α) (Filter.Realizer.σ.{u3, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} α) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} α) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} α) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} α) (Set.instCompleteBooleanAlgebraSet.{u3} α)))))) (Filter.Realizer.F.{u3, u2} α f F) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} τ (Filter.Realizer.σ.{u3, u2} α f F)) τ (fun (_x : τ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : τ) => Filter.Realizer.σ.{u3, u2} α f F) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} τ (Filter.Realizer.σ.{u3, u2} α f F)) (Equiv.symm.{succ u2, succ u1} (Filter.Realizer.σ.{u3, u2} α f F) τ E) s))
 Case conversion may be inaccurate. Consider using '#align filter.realizer.of_equiv_F Filter.Realizer.ofEquiv_Fₓ'. -/
 @[simp]
 theorem ofEquiv_F {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) (s : τ) :
Diff
@@ -61,7 +61,7 @@ instance : CoeFun (CFilter α σ) fun _ => σ → α :=
 
 /- warning: cfilter.coe_mk -> CFilter.coe_mk is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {σ : Type.{u2}} [_inst_1 : PartialOrder.{u1} α] (f : σ -> α) (pt : σ) (inf : σ -> σ -> σ) (h₁ : forall (a : σ) (b : σ), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (f (inf a b)) (f a)) (h₂ : forall (a : σ) (b : σ), LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (f (inf a b)) (f b)) (a : σ), Eq.{succ u1} α (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (CFilter.{u1, u2} α σ _inst_1) (fun (_x : CFilter.{u1, u2} α σ _inst_1) => σ -> α) (CFilter.hasCoeToFun.{u1, u2} α σ _inst_1) (CFilter.mk.{u1, u2} α σ _inst_1 f pt inf h₁ h₂) a) (f a)
+  forall {α : Type.{u1}} {σ : Type.{u2}} [_inst_1 : PartialOrder.{u1} α] (f : σ -> α) (pt : σ) (inf : σ -> σ -> σ) (h₁ : forall (a : σ) (b : σ), LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (f (inf a b)) (f a)) (h₂ : forall (a : σ) (b : σ), LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (f (inf a b)) (f b)) (a : σ), Eq.{succ u1} α (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (CFilter.{u1, u2} α σ _inst_1) (fun (_x : CFilter.{u1, u2} α σ _inst_1) => σ -> α) (CFilter.hasCoeToFun.{u1, u2} α σ _inst_1) (CFilter.mk.{u1, u2} α σ _inst_1 f pt inf h₁ h₂) a) (f a)
 but is expected to have type
   forall {α : Type.{u2}} {σ : Type.{u1}} [_inst_1 : PartialOrder.{u2} α] (f : σ -> α) (pt : σ) (inf : σ -> σ -> σ) (h₁ : forall (a : σ) (b : σ), LE.le.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) (f (inf a b)) (f a)) (h₂ : forall (a : σ) (b : σ), LE.le.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) (f (inf a b)) (f b)) (a : σ), Eq.{succ u2} α (CFilter.f.{u2, u1} α σ _inst_1 (CFilter.mk.{u2, u1} α σ _inst_1 f pt inf h₁ h₂) a) (f a)
 Case conversion may be inaccurate. Consider using '#align cfilter.coe_mk CFilter.coe_mkₓ'. -/
@@ -483,7 +483,7 @@ protected def prod {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f.Prod
 
 /- warning: filter.realizer.le_iff -> Filter.Realizer.le_iff is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α} (F : Filter.Realizer.{u1, u2} α f) (G : Filter.Realizer.{u1, u3} α g), Iff (LE.le.{u1} (Filter.{u1} α) (Preorder.toLE.{u1} (Filter.{u1} α) (PartialOrder.toPreorder.{u1} (Filter.{u1} α) (Filter.partialOrder.{u1} α))) f g) (forall (b : Filter.Realizer.σ.{u1, u3} α g G), Exists.{succ u2} (Filter.Realizer.σ.{u1, u2} α f F) (fun (a : Filter.Realizer.σ.{u1, u2} α f F) => LE.le.{u1} (Set.{u1} α) (Set.hasLe.{u1} α) (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (CFilter.{u1, u2} (Set.{u1} α) (Filter.Realizer.σ.{u1, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (fun (_x : CFilter.{u1, u2} (Set.{u1} α) (Filter.Realizer.σ.{u1, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) => (Filter.Realizer.σ.{u1, u2} α f F) -> (Set.{u1} α)) (CFilter.hasCoeToFun.{u1, u2} (Set.{u1} α) (Filter.Realizer.σ.{u1, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (Filter.Realizer.f.{u1, u2} α f F) a) (coeFn.{max (succ u1) (succ u3), max (succ u3) (succ u1)} (CFilter.{u1, u3} (Set.{u1} α) (Filter.Realizer.σ.{u1, u3} α g G) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (fun (_x : CFilter.{u1, u3} (Set.{u1} α) (Filter.Realizer.σ.{u1, u3} α g G) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) => (Filter.Realizer.σ.{u1, u3} α g G) -> (Set.{u1} α)) (CFilter.hasCoeToFun.{u1, u3} (Set.{u1} α) (Filter.Realizer.σ.{u1, u3} α g G) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (Filter.Realizer.f.{u1, u3} α g G) b)))
+  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α} (F : Filter.Realizer.{u1, u2} α f) (G : Filter.Realizer.{u1, u3} α g), Iff (LE.le.{u1} (Filter.{u1} α) (Preorder.toHasLe.{u1} (Filter.{u1} α) (PartialOrder.toPreorder.{u1} (Filter.{u1} α) (Filter.partialOrder.{u1} α))) f g) (forall (b : Filter.Realizer.σ.{u1, u3} α g G), Exists.{succ u2} (Filter.Realizer.σ.{u1, u2} α f F) (fun (a : Filter.Realizer.σ.{u1, u2} α f F) => LE.le.{u1} (Set.{u1} α) (Set.hasLe.{u1} α) (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (CFilter.{u1, u2} (Set.{u1} α) (Filter.Realizer.σ.{u1, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (fun (_x : CFilter.{u1, u2} (Set.{u1} α) (Filter.Realizer.σ.{u1, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) => (Filter.Realizer.σ.{u1, u2} α f F) -> (Set.{u1} α)) (CFilter.hasCoeToFun.{u1, u2} (Set.{u1} α) (Filter.Realizer.σ.{u1, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (Filter.Realizer.f.{u1, u2} α f F) a) (coeFn.{max (succ u1) (succ u3), max (succ u3) (succ u1)} (CFilter.{u1, u3} (Set.{u1} α) (Filter.Realizer.σ.{u1, u3} α g G) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (fun (_x : CFilter.{u1, u3} (Set.{u1} α) (Filter.Realizer.σ.{u1, u3} α g G) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) => (Filter.Realizer.σ.{u1, u3} α g G) -> (Set.{u1} α)) (CFilter.hasCoeToFun.{u1, u3} (Set.{u1} α) (Filter.Realizer.σ.{u1, u3} α g G) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (Filter.Realizer.f.{u1, u3} α g G) b)))
 but is expected to have type
   forall {α : Type.{u3}} {f : Filter.{u3} α} {g : Filter.{u3} α} (F : Filter.Realizer.{u3, u2} α f) (G : Filter.Realizer.{u3, u1} α g), Iff (LE.le.{u3} (Filter.{u3} α) (Preorder.toLE.{u3} (Filter.{u3} α) (PartialOrder.toPreorder.{u3} (Filter.{u3} α) (Filter.instPartialOrderFilter.{u3} α))) f g) (forall (b : Filter.Realizer.σ.{u3, u1} α g G), Exists.{succ u2} (Filter.Realizer.σ.{u3, u2} α f F) (fun (a : Filter.Realizer.σ.{u3, u2} α f F) => LE.le.{u3} (Set.{u3} α) (Set.instLESet.{u3} α) (CFilter.f.{u3, u2} (Set.{u3} α) (Filter.Realizer.σ.{u3, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} α) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} α) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} α) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} α) (Set.instCompleteBooleanAlgebraSet.{u3} α)))))) (Filter.Realizer.F.{u3, u2} α f F) a) (CFilter.f.{u3, u1} (Set.{u3} α) (Filter.Realizer.σ.{u3, u1} α g G) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} α) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} α) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} α) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} α) (Set.instCompleteBooleanAlgebraSet.{u3} α)))))) (Filter.Realizer.F.{u3, u1} α g G) b)))
 Case conversion may be inaccurate. Consider using '#align filter.realizer.le_iff Filter.Realizer.le_iffₓ'. -/
Diff
@@ -464,7 +464,7 @@ protected def bind {f : Filter α} {m : α → Filter β} (F : f.Realizer) (G :
 -/
 
 /-- Construct a realizer for indexed supremum -/
-protected def supᵢ {f : α → Filter β} (F : ∀ i, (f i).Realizer) : (⨆ i, f i).Realizer :=
+protected def iSup {f : α → Filter β} (F : ∀ i, (f i).Realizer) : (⨆ i, f i).Realizer :=
   let F' : (⨆ i, f i).Realizer :=
     (Realizer.bind Realizer.top F).of_eq <|
       filter_eq <| Set.ext <| by simp [Filter.bind, eq_univ_iff_forall, supr_sets_eq]
@@ -472,7 +472,7 @@ protected def supᵢ {f : α → Filter β} (F : ∀ i, (f i).Realizer) : (⨆ i
     show (Σu : Unit, ∀ i : α, True → (F i).σ) ≃ ∀ i, (F i).σ from
       ⟨fun ⟨_, f⟩ i => f i ⟨⟩, fun f => ⟨(), fun i _ => f i⟩, fun ⟨⟨⟩, f⟩ => by
         dsimp <;> congr <;> simp, fun f => rfl⟩
-#align filter.realizer.Sup Filter.Realizer.supᵢₓ
+#align filter.realizer.Sup Filter.Realizer.iSupₓ
 
 #print Filter.Realizer.prod /-
 /-- Construct a realizer for the product of filters -/
Diff
@@ -86,7 +86,7 @@ def ofEquiv (E : σ ≃ τ) : CFilter α σ → CFilter α τ
 lean 3 declaration is
   forall {α : Type.{u1}} {σ : Type.{u2}} {τ : Type.{u3}} [_inst_1 : PartialOrder.{u1} α] (E : Equiv.{succ u2, succ u3} σ τ) (F : CFilter.{u1, u2} α σ _inst_1) (a : τ), Eq.{succ u1} α (coeFn.{max (succ u1) (succ u3), max (succ u3) (succ u1)} (CFilter.{u1, u3} α τ _inst_1) (fun (_x : CFilter.{u1, u3} α τ _inst_1) => τ -> α) (CFilter.hasCoeToFun.{u1, u3} α τ _inst_1) (CFilter.ofEquiv.{u1, u2, u3} α σ τ _inst_1 E F) a) (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (CFilter.{u1, u2} α σ _inst_1) (fun (_x : CFilter.{u1, u2} α σ _inst_1) => σ -> α) (CFilter.hasCoeToFun.{u1, u2} α σ _inst_1) F (coeFn.{max 1 (max (succ u3) (succ u2)) (succ u2) (succ u3), max (succ u3) (succ u2)} (Equiv.{succ u3, succ u2} τ σ) (fun (_x : Equiv.{succ u3, succ u2} τ σ) => τ -> σ) (Equiv.hasCoeToFun.{succ u3, succ u2} τ σ) (Equiv.symm.{succ u2, succ u3} σ τ E) a))
 but is expected to have type
-  forall {α : Type.{u1}} {σ : Type.{u3}} {τ : Type.{u2}} [_inst_1 : PartialOrder.{u1} α] (E : Equiv.{succ u3, succ u2} σ τ) (F : CFilter.{u1, u3} α σ _inst_1) (a : τ), Eq.{succ u1} α (CFilter.f.{u1, u2} α τ _inst_1 (CFilter.ofEquiv.{u1, u3, u2} α σ τ _inst_1 E F) a) (CFilter.f.{u1, u3} α σ _inst_1 F (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (Equiv.{succ u2, succ u3} τ σ) τ (fun (_x : τ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : τ) => σ) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u3} τ σ) (Equiv.symm.{succ u3, succ u2} σ τ E) a))
+  forall {α : Type.{u1}} {σ : Type.{u3}} {τ : Type.{u2}} [_inst_1 : PartialOrder.{u1} α] (E : Equiv.{succ u3, succ u2} σ τ) (F : CFilter.{u1, u3} α σ _inst_1) (a : τ), Eq.{succ u1} α (CFilter.f.{u1, u2} α τ _inst_1 (CFilter.ofEquiv.{u1, u3, u2} α σ τ _inst_1 E F) a) (CFilter.f.{u1, u3} α σ _inst_1 F (FunLike.coe.{max (succ u3) (succ u2), succ u2, succ u3} (Equiv.{succ u2, succ u3} τ σ) τ (fun (_x : τ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : τ) => σ) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u3} τ σ) (Equiv.symm.{succ u3, succ u2} σ τ E) a))
 Case conversion may be inaccurate. Consider using '#align cfilter.of_equiv_val CFilter.ofEquiv_valₓ'. -/
 @[simp]
 theorem ofEquiv_val (E : σ ≃ τ) (F : CFilter α σ) (a : τ) : F.of_equiv E a = F (E.symm a) := by
@@ -206,7 +206,7 @@ theorem ofEquiv_σ {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) : (F.of_eq
 lean 3 declaration is
   forall {α : Type.{u1}} {τ : Type.{u2}} {f : Filter.{u1} α} (F : Filter.Realizer.{u1, u3} α f) (E : Equiv.{succ u3, succ u2} (Filter.Realizer.σ.{u1, u3} α f F) τ) (s : τ), Eq.{succ u1} (Set.{u1} α) (coeFn.{max (succ u1) (succ u2), max (succ u2) (succ u1)} (CFilter.{u1, u2} (Set.{u1} α) (Filter.Realizer.σ.{u1, u2} α f (Filter.Realizer.ofEquiv.{u1, u2, u3} α τ f F E)) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (fun (_x : CFilter.{u1, u2} (Set.{u1} α) (Filter.Realizer.σ.{u1, u2} α f (Filter.Realizer.ofEquiv.{u1, u2, u3} α τ f F E)) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) => (Filter.Realizer.σ.{u1, u2} α f (Filter.Realizer.ofEquiv.{u1, u2, u3} α τ f F E)) -> (Set.{u1} α)) (CFilter.hasCoeToFun.{u1, u2} (Set.{u1} α) (Filter.Realizer.σ.{u1, u2} α f (Filter.Realizer.ofEquiv.{u1, u2, u3} α τ f F E)) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (Filter.Realizer.f.{u1, u2} α f (Filter.Realizer.ofEquiv.{u1, u2, u3} α τ f F E)) s) (coeFn.{max (succ u1) (succ u3), max (succ u3) (succ u1)} (CFilter.{u1, u3} (Set.{u1} α) (Filter.Realizer.σ.{u1, u3} α f F) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (fun (_x : CFilter.{u1, u3} (Set.{u1} α) (Filter.Realizer.σ.{u1, u3} α f F) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) => (Filter.Realizer.σ.{u1, u3} α f F) -> (Set.{u1} α)) (CFilter.hasCoeToFun.{u1, u3} (Set.{u1} α) (Filter.Realizer.σ.{u1, u3} α f F) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))) (Filter.Realizer.f.{u1, u3} α f F) (coeFn.{max 1 (max (succ u2) (succ u3)) (succ u3) (succ u2), max (succ u2) (succ u3)} (Equiv.{succ u2, succ u3} τ (Filter.Realizer.σ.{u1, u3} α f F)) (fun (_x : Equiv.{succ u2, succ u3} τ (Filter.Realizer.σ.{u1, u3} α f F)) => τ -> (Filter.Realizer.σ.{u1, u3} α f F)) (Equiv.hasCoeToFun.{succ u2, succ u3} τ (Filter.Realizer.σ.{u1, u3} α f F)) (Equiv.symm.{succ u3, succ u2} (Filter.Realizer.σ.{u1, u3} α f F) τ E) s))
 but is expected to have type
-  forall {α : Type.{u3}} {τ : Type.{u1}} {f : Filter.{u3} α} (F : Filter.Realizer.{u3, u2} α f) (E : Equiv.{succ u2, succ u1} (Filter.Realizer.σ.{u3, u2} α f F) τ) (s : τ), Eq.{succ u3} (Set.{u3} α) (CFilter.f.{u3, u1} (Set.{u3} α) (Filter.Realizer.σ.{u3, u1} α f (Filter.Realizer.ofEquiv.{u3, u1, u2} α τ f F E)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} α) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} α) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} α) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} α) (Set.instCompleteBooleanAlgebraSet.{u3} α)))))) (Filter.Realizer.F.{u3, u1} α f (Filter.Realizer.ofEquiv.{u3, u1, u2} α τ f F E)) s) (CFilter.f.{u3, u2} (Set.{u3} α) (Filter.Realizer.σ.{u3, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} α) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} α) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} α) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} α) (Set.instCompleteBooleanAlgebraSet.{u3} α)))))) (Filter.Realizer.F.{u3, u2} α f F) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} τ (Filter.Realizer.σ.{u3, u2} α f F)) τ (fun (_x : τ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : τ) => Filter.Realizer.σ.{u3, u2} α f F) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} τ (Filter.Realizer.σ.{u3, u2} α f F)) (Equiv.symm.{succ u2, succ u1} (Filter.Realizer.σ.{u3, u2} α f F) τ E) s))
+  forall {α : Type.{u3}} {τ : Type.{u1}} {f : Filter.{u3} α} (F : Filter.Realizer.{u3, u2} α f) (E : Equiv.{succ u2, succ u1} (Filter.Realizer.σ.{u3, u2} α f F) τ) (s : τ), Eq.{succ u3} (Set.{u3} α) (CFilter.f.{u3, u1} (Set.{u3} α) (Filter.Realizer.σ.{u3, u1} α f (Filter.Realizer.ofEquiv.{u3, u1, u2} α τ f F E)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} α) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} α) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} α) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} α) (Set.instCompleteBooleanAlgebraSet.{u3} α)))))) (Filter.Realizer.F.{u3, u1} α f (Filter.Realizer.ofEquiv.{u3, u1, u2} α τ f F E)) s) (CFilter.f.{u3, u2} (Set.{u3} α) (Filter.Realizer.σ.{u3, u2} α f F) (CompleteSemilatticeInf.toPartialOrder.{u3} (Set.{u3} α) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Set.{u3} α) (Order.Coframe.toCompleteLattice.{u3} (Set.{u3} α) (CompleteDistribLattice.toCoframe.{u3} (Set.{u3} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u3} (Set.{u3} α) (Set.instCompleteBooleanAlgebraSet.{u3} α)))))) (Filter.Realizer.F.{u3, u2} α f F) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Equiv.{succ u1, succ u2} τ (Filter.Realizer.σ.{u3, u2} α f F)) τ (fun (_x : τ) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : τ) => Filter.Realizer.σ.{u3, u2} α f F) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} τ (Filter.Realizer.σ.{u3, u2} α f F)) (Equiv.symm.{succ u2, succ u1} (Filter.Realizer.σ.{u3, u2} α f F) τ E) s))
 Case conversion may be inaccurate. Consider using '#align filter.realizer.of_equiv_F Filter.Realizer.ofEquiv_Fₓ'. -/
 @[simp]
 theorem ofEquiv_F {f : Filter α} (F : f.Realizer) (E : F.σ ≃ τ) (s : τ) :
Diff
@@ -360,9 +360,9 @@ protected def comap (m : α → β) {f : Filter β} (F : f.Realizer) : (comap m
 
 /- warning: filter.realizer.sup -> Filter.Realizer.sup is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α}, (Filter.Realizer.{u1, u2} α f) -> (Filter.Realizer.{u1, u3} α g) -> (Filter.Realizer.{u1, max u2 u3} α (HasSup.sup.{u1} (Filter.{u1} α) (SemilatticeSup.toHasSup.{u1} (Filter.{u1} α) (Lattice.toSemilatticeSup.{u1} (Filter.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (Filter.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (Filter.{u1} α) (Filter.completeLattice.{u1} α))))) f g))
+  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α}, (Filter.Realizer.{u1, u2} α f) -> (Filter.Realizer.{u1, u3} α g) -> (Filter.Realizer.{u1, max u2 u3} α (Sup.sup.{u1} (Filter.{u1} α) (SemilatticeSup.toHasSup.{u1} (Filter.{u1} α) (Lattice.toSemilatticeSup.{u1} (Filter.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (Filter.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (Filter.{u1} α) (Filter.completeLattice.{u1} α))))) f g))
 but is expected to have type
-  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α}, (Filter.Realizer.{u1, u2} α f) -> (Filter.Realizer.{u1, u3} α g) -> (Filter.Realizer.{u1, max u3 u2} α (HasSup.sup.{u1} (Filter.{u1} α) (SemilatticeSup.toHasSup.{u1} (Filter.{u1} α) (Lattice.toSemilatticeSup.{u1} (Filter.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (Filter.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (Filter.{u1} α) (Filter.instCompleteLatticeFilter.{u1} α))))) f g))
+  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α}, (Filter.Realizer.{u1, u2} α f) -> (Filter.Realizer.{u1, u3} α g) -> (Filter.Realizer.{u1, max u3 u2} α (Sup.sup.{u1} (Filter.{u1} α) (SemilatticeSup.toSup.{u1} (Filter.{u1} α) (Lattice.toSemilatticeSup.{u1} (Filter.{u1} α) (ConditionallyCompleteLattice.toLattice.{u1} (Filter.{u1} α) (CompleteLattice.toConditionallyCompleteLattice.{u1} (Filter.{u1} α) (Filter.instCompleteLatticeFilter.{u1} α))))) f g))
 Case conversion may be inaccurate. Consider using '#align filter.realizer.sup Filter.Realizer.supₓ'. -/
 /-- Construct a realizer for the sup of two filters -/
 protected def sup {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊔ g).Realizer :=
@@ -386,9 +386,9 @@ protected def sup {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊔ g
 
 /- warning: filter.realizer.inf -> Filter.Realizer.inf is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α}, (Filter.Realizer.{u1, u2} α f) -> (Filter.Realizer.{u1, u3} α g) -> (Filter.Realizer.{u1, max u2 u3} α (HasInf.inf.{u1} (Filter.{u1} α) (Filter.hasInf.{u1} α) f g))
+  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α}, (Filter.Realizer.{u1, u2} α f) -> (Filter.Realizer.{u1, u3} α g) -> (Filter.Realizer.{u1, max u2 u3} α (Inf.inf.{u1} (Filter.{u1} α) (Filter.hasInf.{u1} α) f g))
 but is expected to have type
-  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α}, (Filter.Realizer.{u1, u2} α f) -> (Filter.Realizer.{u1, u3} α g) -> (Filter.Realizer.{u1, max u3 u2} α (HasInf.inf.{u1} (Filter.{u1} α) (Filter.instHasInfFilter.{u1} α) f g))
+  forall {α : Type.{u1}} {f : Filter.{u1} α} {g : Filter.{u1} α}, (Filter.Realizer.{u1, u2} α f) -> (Filter.Realizer.{u1, u3} α g) -> (Filter.Realizer.{u1, max u3 u2} α (Inf.inf.{u1} (Filter.{u1} α) (Filter.instInfFilter.{u1} α) f g))
 Case conversion may be inaccurate. Consider using '#align filter.realizer.inf Filter.Realizer.infₓ'. -/
 /-- Construct a realizer for the inf of two filters -/
 protected def inf {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊓ g).Realizer :=

Changes in mathlib4

mathlib3
mathlib4
chore: adapt to multiple goal linter 1 (#12338)

A PR accompanying #12339.

Zulip discussion

Diff
@@ -268,8 +268,8 @@ protected def inf {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊓ g
       constructor
       · rintro ⟨s, t, h⟩
         apply mem_inf_of_inter _ _ h
-        use s
-        use t
+        · use s
+        · use t
       · rintro ⟨_, ⟨a, ha⟩, _, ⟨b, hb⟩, rfl⟩
         exact ⟨a, b, inter_subset_inter ha hb⟩⟩
 #align filter.realizer.inf Filter.Realizer.inf
chore: classify todo porting notes (#11216)

Classifies by adding issue number #11215 to porting notes claiming "TODO".

Diff
@@ -22,7 +22,7 @@ This file provides infrastructure to compute with filters.
 
 open Set Filter
 
--- Porting note: TODO write doc strings
+-- Porting note (#11215): TODO write doc strings
 /-- A `CFilter α σ` is a realization of a filter (base) on `α`,
   represented by a type `σ` together with operations for the top element and
   the binary `inf` operation. -/
@@ -94,7 +94,7 @@ theorem mem_toFilter_sets (F : CFilter (Set α) σ) {a : Set α} : a ∈ F.toFil
 
 end CFilter
 
--- Porting note: TODO write doc strings
+-- Porting note (#11215): TODO write doc strings
 /-- A realizer for filter `f` is a cfilter which generates `f`. -/
 structure Filter.Realizer (f : Filter α) where
   σ : Type*
chore(*): rename FunLike to DFunLike (#9785)

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

Diff
@@ -53,7 +53,7 @@ instance : CoeFun (CFilter α σ) fun _ ↦ σ → α :=
   ⟨CFilter.f⟩
 
 /- Porting note: Due to the CoeFun instance, the lhs of this lemma has a variable (f) as its head
-symbol (simpnf linter problem). Replacing it with a FunLike instance would not be mathematically
+symbol (simpnf linter problem). Replacing it with a DFunLike instance would not be mathematically
 meaningful here, since the coercion to f cannot be injective, hence need to remove @[simp]. -/
 -- @[simp]
 theorem coe_mk (f pt inf h₁ h₂ a) : (@CFilter.mk α σ _ f pt inf h₁ h₂) a = f a :=
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -26,7 +26,7 @@ open Set Filter
 /-- A `CFilter α σ` is a realization of a filter (base) on `α`,
   represented by a type `σ` together with operations for the top element and
   the binary `inf` operation. -/
-structure CFilter (α σ : Type _) [PartialOrder α] where
+structure CFilter (α σ : Type*) [PartialOrder α] where
   f : σ → α
   pt : σ
   inf : σ → σ → σ
@@ -34,7 +34,7 @@ structure CFilter (α σ : Type _) [PartialOrder α] where
   inf_le_right : ∀ a b : σ, f (inf a b) ≤ f b
 #align cfilter CFilter
 
-variable {α : Type _} {β : Type _} {σ : Type _} {τ : Type _}
+variable {α : Type*} {β : Type*} {σ : Type*} {τ : Type*}
 
 instance [Inhabited α] [SemilatticeInf α] : Inhabited (CFilter α α) :=
   ⟨{  f := id
@@ -97,7 +97,7 @@ end CFilter
 -- Porting note: TODO write doc strings
 /-- A realizer for filter `f` is a cfilter which generates `f`. -/
 structure Filter.Realizer (f : Filter α) where
-  σ : Type _
+  σ : Type*
   F : CFilter (Set α) σ
   eq : F.toFilter = f
 #align filter.realizer Filter.Realizer
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2017 Mario Carneiro. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Mario Carneiro
-
-! This file was ported from Lean 3 source module data.analysis.filter
-! leanprover-community/mathlib commit f7fc89d5d5ff1db2d1242c7bb0e9062ce47ef47c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Order.Filter.Cofinite
 
+#align_import data.analysis.filter from "leanprover-community/mathlib"@"f7fc89d5d5ff1db2d1242c7bb0e9062ce47ef47c"
+
 /-!
 # Computational realization of filters (experimental)
 
chore: remove occurrences of semicolon after space (#5713)

This is the second half of the changes originally in #5699, removing all occurrences of ; after a space and implementing a linter rule to enforce it.

In most cases this 2-character substring has a space after it, so the following command was run first:

find . -type f -name "*.lean" -exec sed -i -E 's/ ; /; /g' {} \;

The remaining cases were few enough in number that they were done manually.

Diff
@@ -75,7 +75,7 @@ def ofEquiv (E : σ ≃ τ) : CFilter α σ → CFilter α τ
 
 @[simp]
 theorem ofEquiv_val (E : σ ≃ τ) (F : CFilter α σ) (a : τ) : F.ofEquiv E a = F (E.symm a) := by
-  cases F ; rfl
+  cases F; rfl
 #align cfilter.of_equiv_val CFilter.ofEquiv_val
 
 end
@@ -113,7 +113,7 @@ protected def CFilter.toRealizer (F : CFilter (Set α) σ) : F.toFilter.Realizer
 namespace Filter.Realizer
 
 theorem mem_sets {f : Filter α} (F : f.Realizer) {a : Set α} : a ∈ f ↔ ∃ b, F.F b ⊆ a := by
-  cases F ; subst f ; rfl
+  cases F; subst f; rfl
 #align filter.realizer.mem_sets Filter.Realizer.mem_sets
 
 /-- Transfer a realizer along an equality of filter. This has better definitional equalities than
@@ -242,7 +242,7 @@ protected def comap (m : α → β) {f : Filter β} (F : f.Realizer) : (comap m
       inf_le_left := fun _ _ ↦ preimage_mono (F.F.inf_le_left _ _)
       inf_le_right := fun _ _ ↦ preimage_mono (F.F.inf_le_right _ _) },
     filter_eq <| Set.ext fun _ ↦ by
-      cases F ; subst f
+      cases F; subst f
       exact ⟨fun ⟨s, h⟩ ↦ ⟨_, ⟨s, Subset.refl _⟩, h⟩,
         fun ⟨_, ⟨s, h⟩, h₂⟩ ↦ ⟨s, Subset.trans (preimage_mono h) h₂⟩⟩⟩
 #align filter.realizer.comap Filter.Realizer.comap
@@ -255,7 +255,7 @@ protected def sup {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊔ g
       inf := fun ⟨a, a'⟩ ⟨b, b'⟩ ↦ (F.F.inf a b, G.F.inf a' b')
       inf_le_left := fun _ _ ↦ union_subset_union (F.F.inf_le_left _ _) (G.F.inf_le_left _ _)
       inf_le_right := fun _ _ ↦ union_subset_union (F.F.inf_le_right _ _) (G.F.inf_le_right _ _) },
-    filter_eq <| Set.ext fun _ ↦ by cases F ; cases G ; substs f g ; simp [CFilter.toFilter]⟩
+    filter_eq <| Set.ext fun _ ↦ by cases F; cases G; substs f g; simp [CFilter.toFilter]⟩
 #align filter.realizer.sup Filter.Realizer.sup
 
 /-- Construct a realizer for the inf of two filters -/
@@ -307,7 +307,7 @@ protected def bind {f : Filter α} {m : α → Filter β} (F : f.Realizer) (G :
         simp only [mem_iUnion, forall_exists_index]
         exact fun i h₁ h₂ ↦ ⟨i, F.F.inf_le_right _ _ h₁, (G i).F.inf_le_right _ _ h₂⟩ },
     filter_eq <| Set.ext fun _ ↦ by
-      cases' F with _ F _ ; subst f
+      cases' F with _ F _; subst f
       simp only [CFilter.toFilter, iUnion_subset_iff, Sigma.exists, Filter.mem_sets, mem_bind]
       exact
         ⟨fun ⟨s, f, h⟩ ↦
feat: add compile_inductive% and compile_def% commands (#4097)

Add a #compile inductive command to compile the recursors of an inductive type, which works by creating a recursive definition and using @[csimp].

Co-authored-by: Parth Shastri <31370288+cppio@users.noreply.github.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

Diff
@@ -122,9 +122,8 @@ def ofEq {f g : Filter α} (e : f = g) (F : f.Realizer) : g.Realizer :=
   ⟨F.σ, F.F, F.eq.trans e⟩
 #align filter.realizer.of_eq Filter.Realizer.ofEq
 
--- Porting note: Added `noncomputable`
 /-- A filter realizes itself. -/
-noncomputable def ofFilter (f : Filter α) : f.Realizer :=
+def ofFilter (f : Filter α) : f.Realizer :=
   ⟨f.sets,
     { f := Subtype.val
       pt := ⟨univ, univ_mem⟩
chore: Rename to sSup/iSup (#3938)

As discussed on Zulip

Renames

  • supₛsSup
  • infₛsInf
  • supᵢiSup
  • infᵢiInf
  • bsupₛbsSup
  • binfₛbsInf
  • bsupᵢbiSup
  • binfᵢbiInf
  • csupₛcsSup
  • cinfₛcsInf
  • csupᵢciSup
  • cinfᵢciInf
  • unionₛsUnion
  • interₛsInter
  • unionᵢiUnion
  • interᵢiInter
  • bunionₛbsUnion
  • binterₛbsInter
  • bunionᵢbiUnion
  • binterᵢbiInter

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

Diff
@@ -302,14 +302,14 @@ protected def bind {f : Filter α} {m : α → Filter β} (F : f.Realizer) (G :
         ⟨F.F.inf a b, fun i h ↦
           (G i).F.inf (f i (F.F.inf_le_left _ _ h)) (f' i (F.F.inf_le_right _ _ h))⟩
       inf_le_left := fun _ _ _ ↦ by
-        simp only [mem_unionᵢ, forall_exists_index]
+        simp only [mem_iUnion, forall_exists_index]
         exact fun i h₁ h₂ ↦ ⟨i, F.F.inf_le_left _ _ h₁, (G i).F.inf_le_left _ _ h₂⟩
       inf_le_right := fun _ _ _ ↦ by
-        simp only [mem_unionᵢ, forall_exists_index]
+        simp only [mem_iUnion, forall_exists_index]
         exact fun i h₁ h₂ ↦ ⟨i, F.F.inf_le_right _ _ h₁, (G i).F.inf_le_right _ _ h₂⟩ },
     filter_eq <| Set.ext fun _ ↦ by
       cases' F with _ F _ ; subst f
-      simp only [CFilter.toFilter, unionᵢ_subset_iff, Sigma.exists, Filter.mem_sets, mem_bind]
+      simp only [CFilter.toFilter, iUnion_subset_iff, Sigma.exists, Filter.mem_sets, mem_bind]
       exact
         ⟨fun ⟨s, f, h⟩ ↦
           ⟨F s, ⟨s, Subset.refl _⟩, fun i H ↦ (G i).mem_sets.2 ⟨f i H, fun _ h' ↦ h i H h'⟩⟩,
@@ -318,16 +318,16 @@ protected def bind {f : Filter α} {m : α → Filter β} (F : f.Realizer) (G :
           ⟨s, fun i h ↦ f' ⟨i, h⟩, fun _ H _ m ↦ h' ⟨_, H⟩ m⟩⟩⟩
 #align filter.realizer.bind Filter.Realizer.bind
 
--- Porting note: `supᵢ` had a long dubious translation message. I added `ₓ` to be safe.
+-- Porting note: `iSup` had a long dubious translation message. I added `ₓ` to be safe.
 /-- Construct a realizer for indexed supremum -/
-protected def supᵢ {f : α → Filter β} (F : ∀ i, (f i).Realizer) : (⨆ i, f i).Realizer :=
+protected def iSup {f : α → Filter β} (F : ∀ i, (f i).Realizer) : (⨆ i, f i).Realizer :=
   let F' : (⨆ i, f i).Realizer :=
     (Realizer.bind Realizer.top F).ofEq <|
-      filter_eq <| Set.ext <| by simp [Filter.bind, eq_univ_iff_forall, supᵢ_sets_eq]
+      filter_eq <| Set.ext <| by simp [Filter.bind, eq_univ_iff_forall, iSup_sets_eq]
   F'.ofEquiv <|
     show (Σ_ : Unit, ∀ i : α, True → (F i).σ) ≃ ∀ i, (F i).σ from
       ⟨fun ⟨_, f⟩ i ↦ f i ⟨⟩, fun f ↦ ⟨(), fun i _ ↦ f i⟩, fun _ ↦ rfl, fun _ ↦ rfl⟩
-#align filter.realizer.Sup Filter.Realizer.supᵢₓ
+#align filter.realizer.Sup Filter.Realizer.iSupₓ
 
 /-- Construct a realizer for the product of filters -/
 protected def prod {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f.prod g).Realizer :=
chore: bye-bye, solo bys! (#3825)

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

Diff
@@ -268,14 +268,14 @@ protected def inf {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f ⊓ g
       inf_le_left := fun _ _ ↦ inter_subset_inter (F.F.inf_le_left _ _) (G.F.inf_le_left _ _)
       inf_le_right := fun _ _ ↦ inter_subset_inter (F.F.inf_le_right _ _) (G.F.inf_le_right _ _) },
     by
-    cases F ; cases G ; substs f g ; simp only [CFilter.toFilter, Prod.exists] ; ext
-    constructor
-    · rintro ⟨s, t, h⟩
-      apply mem_inf_of_inter _ _ h
-      use s
-      use t
-    · rintro ⟨_, ⟨a, ha⟩, _, ⟨b, hb⟩, rfl⟩
-      exact ⟨a, b, inter_subset_inter ha hb⟩⟩
+      cases F; cases G; substs f g; simp only [CFilter.toFilter, Prod.exists]; ext
+      constructor
+      · rintro ⟨s, t, h⟩
+        apply mem_inf_of_inter _ _ h
+        use s
+        use t
+      · rintro ⟨_, ⟨a, ha⟩, _, ⟨b, hb⟩, rfl⟩
+        exact ⟨a, b, inter_subset_inter ha hb⟩⟩
 #align filter.realizer.inf Filter.Realizer.inf
 
 /-- Construct a realizer for the cofinite filter -/
chore: tidy various files (#2321)
Diff
@@ -318,16 +318,16 @@ protected def bind {f : Filter α} {m : α → Filter β} (F : f.Realizer) (G :
           ⟨s, fun i h ↦ f' ⟨i, h⟩, fun _ H _ m ↦ h' ⟨_, H⟩ m⟩⟩⟩
 #align filter.realizer.bind Filter.Realizer.bind
 
--- Porting note: `Sup` had a long dubious translation message. I added `ₓ` to be safe.
+-- Porting note: `supᵢ` had a long dubious translation message. I added `ₓ` to be safe.
 /-- Construct a realizer for indexed supremum -/
-protected def Sup {f : α → Filter β} (F : ∀ i, (f i).Realizer) : (⨆ i, f i).Realizer :=
+protected def supᵢ {f : α → Filter β} (F : ∀ i, (f i).Realizer) : (⨆ i, f i).Realizer :=
   let F' : (⨆ i, f i).Realizer :=
     (Realizer.bind Realizer.top F).ofEq <|
       filter_eq <| Set.ext <| by simp [Filter.bind, eq_univ_iff_forall, supᵢ_sets_eq]
   F'.ofEquiv <|
     show (Σ_ : Unit, ∀ i : α, True → (F i).σ) ≃ ∀ i, (F i).σ from
       ⟨fun ⟨_, f⟩ i ↦ f i ⟨⟩, fun f ↦ ⟨(), fun i _ ↦ f i⟩, fun _ ↦ rfl, fun _ ↦ rfl⟩
-#align filter.realizer.Sup Filter.Realizer.Supₓ
+#align filter.realizer.Sup Filter.Realizer.supᵢₓ
 
 /-- Construct a realizer for the product of filters -/
 protected def prod {f g : Filter α} (F : f.Realizer) (G : g.Realizer) : (f.prod g).Realizer :=
feat: port Data.Analysis.Filter (#1918)

Co-authored-by: Lukas Miaskiwskyi <lukas.mias@gmail.com>

Dependencies 7 + 258

259 files ported (97.4%)
112032 lines ported (97.3%)
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The unported dependencies are