data.finset.imageMathlib.Data.Finset.Image

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

(last sync)

feat(data/{list,multiset,finset}/*): attach and filter lemmas (#18087)

Left commutativity and cardinality of list.filter/multiset.filter/finset.filter. Interaction of count/countp and attach.

Diff
@@ -127,6 +127,22 @@ lemma filter_map {p : β → Prop} [decidable_pred p] :
   (s.map f).filter p = (s.filter (p ∘ f)).map f :=
 eq_of_veq (map_filter _ _ _)
 
+lemma map_filter' (p : α → Prop) [decidable_pred p] (f : α ↪ β) (s : finset α)
+  [decidable_pred (λ b, ∃ a, p a ∧ f a = b)] :
+  (s.filter p).map f = (s.map f).filter (λ b, ∃ a, p a ∧ f a = b) :=
+by simp [(∘), filter_map, f.injective.eq_iff]
+
+lemma filter_attach' [decidable_eq α] (s : finset α) (p : s → Prop) [decidable_pred p] :
+  s.attach.filter p =
+    (s.filter $ λ x, ∃ h, p ⟨x, h⟩).attach.map ⟨subtype.map id $ filter_subset _ _,
+      subtype.map_injective _ injective_id⟩ :=
+eq_of_veq $ multiset.filter_attach' _ _
+
+@[simp] lemma filter_attach (p : α → Prop) [decidable_pred p]  (s : finset α) :
+  (s.attach.filter (λ x, p ↑x)) =
+    (s.filter p).attach.map ((embedding.refl _).subtype_map mem_of_mem_filter) :=
+eq_of_veq $ multiset.filter_attach _ _
+
 lemma map_filter {f : α ≃ β} {p : α → Prop} [decidable_pred p] :
   (s.filter p).map f.to_embedding = (s.map f.to_embedding).filter (p ∘ f.symm) :=
 by simp only [filter_map, function.comp, equiv.to_embedding_apply, equiv.symm_apply_apply]

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feat(data/finset/pointwise): a • (s ∩ t) = a • s ∩ a • t (#18682)

I added the corresponding set lemmas a while back, but forgot about their finset counterpart. Also additivise finset.is_central_scalar/set.is_central_scalar.

Diff
@@ -354,11 +354,7 @@ subset_inter (image_subset_image $ inter_subset_left _ _) $
 lemma image_inter_of_inj_on [decidable_eq α] {f : α → β} (s t : finset α)
   (hf : set.inj_on f (s ∪ t)) :
   (s ∩ t).image f = s.image f ∩ t.image f :=
-(image_inter_subset _ _ _).antisymm $ λ x, begin
-  simp only [mem_inter, mem_image],
-  rintro ⟨⟨a, ha, rfl⟩, b, hb, h⟩,
-  exact ⟨a, ⟨ha, by rwa ←hf (or.inr hb) (or.inl ha) h⟩, rfl⟩,
-end
+coe_injective $ by { push_cast, exact set.image_inter_on (λ a ha b hb, hf (or.inr ha) $ or.inl hb) }
 
 lemma image_inter [decidable_eq α] (s₁ s₂ : finset α) (hf : injective f) :
   (s₁ ∩ s₂).image f = s₁.image f ∩ s₂.image f :=
@@ -392,6 +388,14 @@ end
 ⟨λ h, eq_empty_of_forall_not_mem $
  λ a m, ne_empty_of_mem (mem_image_of_mem _ m) h, λ e, e.symm ▸ rfl⟩
 
+lemma image_sdiff [decidable_eq α] {f : α → β} (s t : finset α) (hf : injective f) :
+  (s \ t).image f = s.image f \ t.image f :=
+coe_injective $ by { push_cast, exact set.image_diff hf _ _ }
+
+lemma image_symm_diff [decidable_eq α] {f : α → β} (s t : finset α) (hf : injective f) :
+  (s ∆ t).image f = s.image f ∆ t.image f :=
+coe_injective $ by { push_cast, exact set.image_symm_diff hf _ _ }
+
 @[simp] lemma _root_.disjoint.of_image_finset
   {s t : finset α} {f : α → β} (h : disjoint (s.image f) (t.image f)) :
   disjoint s t :=

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(first ported)

Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -895,7 +895,7 @@ theorem subtype_map (p : α → Prop) [DecidablePred p] {s : Finset α} :
     (s.Subtype p).map (Embedding.subtype _) = s.filterₓ p :=
   by
   ext x
-  simp [and_comm' _ (_ = _), @and_left_comm _ (_ = _), and_comm' (p x) (x ∈ s)]
+  simp [and_comm _ (_ = _), @and_left_comm _ (_ = _), and_comm (p x) (x ∈ s)]
 #align finset.subtype_map Finset.subtype_map
 -/
 
Diff
@@ -475,7 +475,7 @@ instance canLift (c) (p) [CanLift β α c p] :
 
 #print Finset.image_congr /-
 theorem image_congr (h : (s : Set α).EqOn f g) : Finset.image f s = Finset.image g s := by ext;
-  simp_rw [mem_image]; exact bex_congr fun x hx => by rw [h hx]
+  simp_rw [mem_image]; exact exists₂_congr fun x hx => by rw [h hx]
 #align finset.image_congr Finset.image_congr
 -/
 
Diff
@@ -6,7 +6,7 @@ Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
 import Algebra.Group.Embedding
 import Data.Fin.Basic
 import Data.Finset.Basic
-import Data.Int.Order.Basic
+import Algebra.Order.Group.Int
 
 #align_import data.finset.image from "leanprover-community/mathlib"@"65a1391a0106c9204fe45bc73a039f056558cb83"
 
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2015 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
 -/
-import Algebra.Hom.Embedding
+import Algebra.Group.Embedding
 import Data.Fin.Basic
 import Data.Finset.Basic
 import Data.Int.Order.Basic
Diff
@@ -351,7 +351,7 @@ theorem disjoint_range_addLeftEmbedding (a b : ℕ) :
   by
   refine' disjoint_iff_inf_le.mpr _
   intro k hk
-  simp only [exists_prop, mem_range, inf_eq_inter, mem_map, addLeftEmbedding_apply, mem_inter] at hk 
+  simp only [exists_prop, mem_range, inf_eq_inter, mem_map, addLeftEmbedding_apply, mem_inter] at hk
   obtain ⟨a, haQ, ha⟩ := hk.2
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_left_embedding Finset.disjoint_range_addLeftEmbedding
@@ -363,7 +363,7 @@ theorem disjoint_range_addRightEmbedding (a b : ℕ) :
   by
   refine' disjoint_iff_inf_le.mpr _
   intro k hk
-  simp only [exists_prop, mem_range, inf_eq_inter, mem_map, addLeftEmbedding_apply, mem_inter] at hk 
+  simp only [exists_prop, mem_range, inf_eq_inter, mem_map, addLeftEmbedding_apply, mem_inter] at hk
   obtain ⟨a, haQ, ha⟩ := hk.2
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_right_embedding Finset.disjoint_range_addRightEmbedding
@@ -936,7 +936,7 @@ subtype. -/
 theorem map_subtype_subset {t : Set α} (s : Finset t) : ↑(s.map (Embedding.subtype _)) ⊆ t :=
   by
   intro a ha
-  rw [mem_coe] at ha 
+  rw [mem_coe] at ha
   convert property_of_mem_map_subtype s ha
 #align finset.map_subtype_subset Finset.map_subtype_subset
 -/
Diff
@@ -518,14 +518,14 @@ protected theorem Nonempty.image (h : s.Nonempty) (f : α → β) : (s.image f).
 #align finset.nonempty.image Finset.Nonempty.image
 -/
 
-#print Finset.Nonempty.image_iff /-
+#print Finset.image_nonempty /-
 @[simp]
-theorem Nonempty.image_iff (f : α → β) : (s.image f).Nonempty ↔ s.Nonempty :=
+theorem Finset.image_nonempty (f : α → β) : (s.image f).Nonempty ↔ s.Nonempty :=
   ⟨fun ⟨y, hy⟩ =>
     let ⟨x, hx, _⟩ := mem_image.mp hy
     ⟨x, hx⟩,
     fun h => h.image f⟩
-#align finset.nonempty.image_iff Finset.Nonempty.image_iff
+#align finset.nonempty.image_iff Finset.image_nonempty
 -/
 
 #print Finset.image_toFinset /-
Diff
@@ -614,15 +614,15 @@ theorem coe_image_subset_range : ↑(s.image f) ⊆ Set.range f :=
 #align finset.coe_image_subset_range Finset.coe_image_subset_range
 -/
 
-#print Finset.image_filter /-
-theorem image_filter {p : β → Prop} [DecidablePred p] :
+#print Finset.filter_image /-
+theorem filter_image {p : β → Prop} [DecidablePred p] :
     (s.image f).filterₓ p = (s.filterₓ (p ∘ f)).image f :=
   ext fun b => by
     simp only [mem_filter, mem_image, exists_prop] <;>
       exact
         ⟨by rintro ⟨⟨x, h1, rfl⟩, h2⟩ <;> exact ⟨x, ⟨h1, h2⟩, rfl⟩, by
           rintro ⟨x, ⟨h1, h2⟩, rfl⟩ <;> exact ⟨⟨x, h1, rfl⟩, h2⟩⟩
-#align finset.image_filter Finset.image_filter
+#align finset.image_filter Finset.filter_image
 -/
 
 #print Finset.image_union /-
Diff
@@ -602,7 +602,7 @@ theorem image_mono (f : α → β) : Monotone (Finset.image f) := fun _ _ => ima
 
 #print Finset.image_subset_image_iff /-
 theorem image_subset_image_iff {t : Finset α} (hf : Injective f) : s.image f ⊆ t.image f ↔ s ⊆ t :=
-  by simp_rw [← coe_subset]; push_cast ; exact Set.image_subset_image_iff hf
+  by simp_rw [← coe_subset]; push_cast; exact Set.image_subset_image_iff hf
 #align finset.image_subset_image_iff Finset.image_subset_image_iff
 -/
 
@@ -643,7 +643,7 @@ theorem image_inter_subset [DecidableEq α] (f : α → β) (s t : Finset α) :
 #print Finset.image_inter_of_injOn /-
 theorem image_inter_of_injOn [DecidableEq α] {f : α → β} (s t : Finset α)
     (hf : Set.InjOn f (s ∪ t)) : (s ∩ t).image f = s.image f ∩ t.image f :=
-  coe_injective <| by push_cast ;
+  coe_injective <| by push_cast;
     exact Set.image_inter_on fun a ha b hb => hf (Or.inr ha) <| Or.inl hb
 #align finset.image_inter_of_inj_on Finset.image_inter_of_injOn
 -/
@@ -703,14 +703,14 @@ theorem image_eq_empty : s.image f = ∅ ↔ s = ∅ :=
 #print Finset.image_sdiff /-
 theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s \ t).image f = s.image f \ t.image f :=
-  coe_injective <| by push_cast ; exact Set.image_diff hf _ _
+  coe_injective <| by push_cast; exact Set.image_diff hf _ _
 #align finset.image_sdiff Finset.image_sdiff
 -/
 
 #print Finset.image_symmDiff /-
 theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s ∆ t).image f = s.image f ∆ t.image f :=
-  coe_injective <| by push_cast ; exact Set.image_symmDiff hf _ _
+  coe_injective <| by push_cast; exact Set.image_symmDiff hf _ _
 #align finset.image_symm_diff Finset.image_symmDiff
 -/
 
Diff
@@ -225,25 +225,31 @@ theorem filter_map {p : β → Prop} [DecidablePred p] :
 #align finset.filter_map Finset.filter_map
 -/
 
+#print Finset.map_filter' /-
 theorem map_filter' (p : α → Prop) [DecidablePred p] (f : α ↪ β) (s : Finset α)
     [DecidablePred fun b => ∃ a, p a ∧ f a = b] :
     (s.filterₓ p).map f = (s.map f).filterₓ fun b => ∃ a, p a ∧ f a = b := by
   simp [(· ∘ ·), filter_map, f.injective.eq_iff]
 #align finset.map_filter' Finset.map_filter'
+-/
 
+#print Finset.filter_attach' /-
 theorem filter_attach' [DecidableEq α] (s : Finset α) (p : s → Prop) [DecidablePred p] :
     s.attach.filterₓ p =
       (s.filterₓ fun x => ∃ h, p ⟨x, h⟩).attach.map
         ⟨Subtype.map id <| filter_subset _ _, Subtype.map_injective _ injective_id⟩ :=
   eq_of_veq <| Multiset.filter_attach' _ _
 #align finset.filter_attach' Finset.filter_attach'
+-/
 
+#print Finset.filter_attach /-
 @[simp]
 theorem filter_attach (p : α → Prop) [DecidablePred p] (s : Finset α) :
     (s.attach.filterₓ fun x => p ↑x) =
       (s.filterₓ p).attach.map ((Embedding.refl _).subtypeMap mem_of_mem_filter) :=
   eq_of_veq <| Multiset.filter_attach _ _
 #align finset.filter_attach Finset.filter_attach
+-/
 
 #print Finset.map_filter /-
 theorem map_filter {f : α ≃ β} {p : α → Prop} [DecidablePred p] :
Diff
@@ -8,7 +8,7 @@ import Data.Fin.Basic
 import Data.Finset.Basic
 import Data.Int.Order.Basic
 
-#align_import data.finset.image from "leanprover-community/mathlib"@"b685f506164f8d17a6404048bc4d696739c5d976"
+#align_import data.finset.image from "leanprover-community/mathlib"@"65a1391a0106c9204fe45bc73a039f056558cb83"
 
 /-! # Image and map operations on finite sets
 
@@ -225,6 +225,26 @@ theorem filter_map {p : β → Prop} [DecidablePred p] :
 #align finset.filter_map Finset.filter_map
 -/
 
+theorem map_filter' (p : α → Prop) [DecidablePred p] (f : α ↪ β) (s : Finset α)
+    [DecidablePred fun b => ∃ a, p a ∧ f a = b] :
+    (s.filterₓ p).map f = (s.map f).filterₓ fun b => ∃ a, p a ∧ f a = b := by
+  simp [(· ∘ ·), filter_map, f.injective.eq_iff]
+#align finset.map_filter' Finset.map_filter'
+
+theorem filter_attach' [DecidableEq α] (s : Finset α) (p : s → Prop) [DecidablePred p] :
+    s.attach.filterₓ p =
+      (s.filterₓ fun x => ∃ h, p ⟨x, h⟩).attach.map
+        ⟨Subtype.map id <| filter_subset _ _, Subtype.map_injective _ injective_id⟩ :=
+  eq_of_veq <| Multiset.filter_attach' _ _
+#align finset.filter_attach' Finset.filter_attach'
+
+@[simp]
+theorem filter_attach (p : α → Prop) [DecidablePred p] (s : Finset α) :
+    (s.attach.filterₓ fun x => p ↑x) =
+      (s.filterₓ p).attach.map ((Embedding.refl _).subtypeMap mem_of_mem_filter) :=
+  eq_of_veq <| Multiset.filter_attach _ _
+#align finset.filter_attach Finset.filter_attach
+
 #print Finset.map_filter /-
 theorem map_filter {f : α ≃ β} {p : α → Prop} [DecidablePred p] :
     (s.filterₓ p).map f.toEmbedding = (s.map f.toEmbedding).filterₓ (p ∘ f.symm) := by
Diff
@@ -3,10 +3,10 @@ Copyright (c) 2015 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
 -/
-import Mathbin.Algebra.Hom.Embedding
-import Mathbin.Data.Fin.Basic
-import Mathbin.Data.Finset.Basic
-import Mathbin.Data.Int.Order.Basic
+import Algebra.Hom.Embedding
+import Data.Fin.Basic
+import Data.Finset.Basic
+import Data.Int.Order.Basic
 
 #align_import data.finset.image from "leanprover-community/mathlib"@"b685f506164f8d17a6404048bc4d696739c5d976"
 
Diff
@@ -310,7 +310,7 @@ theorem map_nonempty : (s.map f).Nonempty ↔ s.Nonempty := by
 #align finset.map_nonempty Finset.map_nonempty
 -/
 
-alias map_nonempty ↔ _ Nonempty.map
+alias ⟨_, Nonempty.map⟩ := map_nonempty
 #align finset.nonempty.map Finset.Nonempty.map
 
 #print Finset.attach_map_val /-
Diff
@@ -684,7 +684,7 @@ theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Inj
 #print Finset.image_symmDiff /-
 theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s ∆ t).image f = s.image f ∆ t.image f :=
-  coe_injective <| by push_cast ; exact Set.image_symm_diff hf _ _
+  coe_injective <| by push_cast ; exact Set.image_symmDiff hf _ _
 #align finset.image_symm_diff Finset.image_symmDiff
 -/
 
Diff
@@ -2,17 +2,14 @@
 Copyright (c) 2015 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
-
-! This file was ported from Lean 3 source module data.finset.image
-! leanprover-community/mathlib commit b685f506164f8d17a6404048bc4d696739c5d976
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Hom.Embedding
 import Mathbin.Data.Fin.Basic
 import Mathbin.Data.Finset.Basic
 import Mathbin.Data.Int.Order.Basic
 
+#align_import data.finset.image from "leanprover-community/mathlib"@"b685f506164f8d17a6404048bc4d696739c5d976"
+
 /-! # Image and map operations on finite sets
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
Diff
@@ -58,56 +58,76 @@ def map (f : α ↪ β) (s : Finset α) : Finset β :=
 #align finset.map Finset.map
 -/
 
+#print Finset.map_val /-
 @[simp]
 theorem map_val (f : α ↪ β) (s : Finset α) : (map f s).1 = s.1.map f :=
   rfl
 #align finset.map_val Finset.map_val
+-/
 
+#print Finset.map_empty /-
 @[simp]
 theorem map_empty (f : α ↪ β) : (∅ : Finset α).map f = ∅ :=
   rfl
 #align finset.map_empty Finset.map_empty
+-/
 
 variable {f : α ↪ β} {s : Finset α}
 
+#print Finset.mem_map /-
 @[simp]
 theorem mem_map {b : β} : b ∈ s.map f ↔ ∃ a ∈ s, f a = b :=
   mem_map.trans <| by simp only [exists_prop] <;> rfl
 #align finset.mem_map Finset.mem_map
+-/
 
+#print Finset.mem_map_equiv /-
 @[simp]
 theorem mem_map_equiv {f : α ≃ β} {b : β} : b ∈ s.map f.toEmbedding ↔ f.symm b ∈ s := by
   rw [mem_map]; exact ⟨by rintro ⟨a, H, rfl⟩; simpa, fun h => ⟨_, h, by simp⟩⟩
 #align finset.mem_map_equiv Finset.mem_map_equiv
+-/
 
+#print Finset.mem_map' /-
 theorem mem_map' (f : α ↪ β) {a} {s : Finset α} : f a ∈ s.map f ↔ a ∈ s :=
   mem_map_of_injective f.2
 #align finset.mem_map' Finset.mem_map'
+-/
 
+#print Finset.mem_map_of_mem /-
 theorem mem_map_of_mem (f : α ↪ β) {a} {s : Finset α} : a ∈ s → f a ∈ s.map f :=
   (mem_map' _).2
 #align finset.mem_map_of_mem Finset.mem_map_of_mem
+-/
 
+#print Finset.forall_mem_map /-
 theorem forall_mem_map {f : α ↪ β} {s : Finset α} {p : ∀ a, a ∈ s.map f → Prop} :
     (∀ y ∈ s.map f, p y H) ↔ ∀ x ∈ s, p (f x) (mem_map_of_mem _ H) :=
   ⟨fun h y hy => h (f y) (mem_map_of_mem _ hy), fun h x hx => by
     obtain ⟨y, hy, rfl⟩ := mem_map.1 hx; exact h _ hy⟩
 #align finset.forall_mem_map Finset.forall_mem_map
+-/
 
+#print Finset.apply_coe_mem_map /-
 theorem apply_coe_mem_map (f : α ↪ β) (s : Finset α) (x : s) : f x ∈ s.map f :=
   mem_map_of_mem f x.Prop
 #align finset.apply_coe_mem_map Finset.apply_coe_mem_map
+-/
 
+#print Finset.coe_map /-
 @[simp, norm_cast]
 theorem coe_map (f : α ↪ β) (s : Finset α) : (s.map f : Set β) = f '' s :=
   Set.ext fun x => mem_map.trans Set.mem_image_iff_bex.symm
 #align finset.coe_map Finset.coe_map
+-/
 
+#print Finset.coe_map_subset_range /-
 theorem coe_map_subset_range (f : α ↪ β) (s : Finset α) : (s.map f : Set β) ⊆ Set.range f :=
   calc
     ↑(s.map f) = f '' s := coe_map f s
     _ ⊆ Set.range f := Set.image_subset_range f ↑s
 #align finset.coe_map_subset_range Finset.coe_map_subset_range
+-/
 
 #print Finset.map_perm /-
 /-- If the only elements outside `s` are those left fixed by `σ`, then mapping by `σ` has no effect.
@@ -117,10 +137,12 @@ theorem map_perm {σ : Equiv.Perm α} (hs : {a | σ a ≠ a} ⊆ s) : s.map (σ
 #align finset.map_perm Finset.map_perm
 -/
 
+#print Finset.map_toFinset /-
 theorem map_toFinset [DecidableEq α] [DecidableEq β] {s : Multiset α} :
     s.toFinset.map f = (s.map f).toFinset :=
   ext fun _ => by simp only [mem_map, Multiset.mem_map, exists_prop, Multiset.mem_toFinset]
 #align finset.map_to_finset Finset.map_toFinset
+-/
 
 #print Finset.map_refl /-
 @[simp]
@@ -136,19 +158,25 @@ theorem map_cast_heq {α β} (h : α = β) (s : Finset α) : HEq (s.map (Equiv.c
 #align finset.map_cast_heq Finset.map_cast_heq
 -/
 
+#print Finset.map_map /-
 theorem map_map (f : α ↪ β) (g : β ↪ γ) (s : Finset α) : (s.map f).map g = s.map (f.trans g) :=
   eq_of_veq <| by simp only [map_val, Multiset.map_map] <;> rfl
 #align finset.map_map Finset.map_map
+-/
 
+#print Finset.map_comm /-
 theorem map_comm {β'} {f : β ↪ γ} {g : α ↪ β} {f' : α ↪ β'} {g' : β' ↪ γ}
     (h_comm : ∀ a, f (g a) = g' (f' a)) : (s.map g).map f = (s.map f').map g' := by
   simp_rw [map_map, embedding.trans, Function.comp, h_comm]
 #align finset.map_comm Finset.map_comm
+-/
 
+#print Function.Semiconj.finset_map /-
 theorem Function.Semiconj.finset_map {f : α ↪ β} {ga : α ↪ α} {gb : β ↪ β}
     (h : Function.Semiconj f ga gb) : Function.Semiconj (map f) (map ga) (map gb) := fun s =>
   map_comm h
 #align function.semiconj.finset_map Function.Semiconj.finset_map
+-/
 
 #print Function.Commute.finset_map /-
 theorem Function.Commute.finset_map {f g : α ↪ α} (h : Function.Commute f g) :
@@ -157,11 +185,13 @@ theorem Function.Commute.finset_map {f g : α ↪ α} (h : Function.Commute f g)
 #align function.commute.finset_map Function.Commute.finset_map
 -/
 
+#print Finset.map_subset_map /-
 @[simp]
 theorem map_subset_map {s₁ s₂ : Finset α} : s₁.map f ⊆ s₂.map f ↔ s₁ ⊆ s₂ :=
   ⟨fun h x xs => (mem_map' _).1 <| h <| (mem_map' f).2 xs, fun h => by
     simp [subset_def, map_subset_map h]⟩
 #align finset.map_subset_map Finset.map_subset_map
+-/
 
 #print Finset.mapEmbedding /-
 /-- Associate to an embedding `f` from `α` to `β` the order embedding that maps a finset to its
@@ -171,19 +201,25 @@ def mapEmbedding (f : α ↪ β) : Finset α ↪o Finset β :=
 #align finset.map_embedding Finset.mapEmbedding
 -/
 
+#print Finset.map_inj /-
 @[simp]
 theorem map_inj {s₁ s₂ : Finset α} : s₁.map f = s₂.map f ↔ s₁ = s₂ :=
   (mapEmbedding f).Injective.eq_iff
 #align finset.map_inj Finset.map_inj
+-/
 
+#print Finset.map_injective /-
 theorem map_injective (f : α ↪ β) : Injective (map f) :=
   (mapEmbedding f).Injective
 #align finset.map_injective Finset.map_injective
+-/
 
+#print Finset.mapEmbedding_apply /-
 @[simp]
 theorem mapEmbedding_apply : mapEmbedding f s = map f s :=
   rfl
 #align finset.map_embedding_apply Finset.mapEmbedding_apply
+-/
 
 #print Finset.filter_map /-
 theorem filter_map {p : β → Prop} [DecidablePred p] :
@@ -192,11 +228,14 @@ theorem filter_map {p : β → Prop} [DecidablePred p] :
 #align finset.filter_map Finset.filter_map
 -/
 
+#print Finset.map_filter /-
 theorem map_filter {f : α ≃ β} {p : α → Prop} [DecidablePred p] :
     (s.filterₓ p).map f.toEmbedding = (s.map f.toEmbedding).filterₓ (p ∘ f.symm) := by
   simp only [filter_map, Function.comp, Equiv.toEmbedding_apply, Equiv.symm_apply_apply]
 #align finset.map_filter Finset.map_filter
+-/
 
+#print Finset.disjoint_map /-
 @[simp]
 theorem disjoint_map {s t : Finset α} (f : α ↪ β) : Disjoint (s.map f) (t.map f) ↔ Disjoint s t :=
   by
@@ -205,44 +244,59 @@ theorem disjoint_map {s t : Finset α} (f : α ↪ β) : Disjoint (s.map f) (t.m
   rintro h _ a ha rfl _ b hb rfl
   exact f.injective.ne (h _ ha _ hb)
 #align finset.disjoint_map Finset.disjoint_map
+-/
 
+#print Finset.map_disjUnion /-
 theorem map_disjUnion {f : α ↪ β} (s₁ s₂ : Finset α) (h) (h' := (disjoint_map _).mpr h) :
     (s₁.disjUnion s₂ h).map f = (s₁.map f).disjUnion (s₂.map f) h' :=
   eq_of_veq <| Multiset.map_add _ _ _
 #align finset.map_disj_union Finset.map_disjUnion
+-/
 
+#print Finset.map_disjUnion' /-
 /-- A version of `finset.map_disj_union` for writing in the other direction. -/
 theorem map_disjUnion' {f : α ↪ β} (s₁ s₂ : Finset α) (h') (h := (disjoint_map _).mp h') :
     (s₁.disjUnion s₂ h).map f = (s₁.map f).disjUnion (s₂.map f) h' :=
   map_disjUnion _ _ _
 #align finset.map_disj_union' Finset.map_disjUnion'
+-/
 
+#print Finset.map_union /-
 theorem map_union [DecidableEq α] [DecidableEq β] {f : α ↪ β} (s₁ s₂ : Finset α) :
     (s₁ ∪ s₂).map f = s₁.map f ∪ s₂.map f :=
   coe_injective <| by simp only [coe_map, coe_union, Set.image_union]
 #align finset.map_union Finset.map_union
+-/
 
+#print Finset.map_inter /-
 theorem map_inter [DecidableEq α] [DecidableEq β] {f : α ↪ β} (s₁ s₂ : Finset α) :
     (s₁ ∩ s₂).map f = s₁.map f ∩ s₂.map f :=
   coe_injective <| by simp only [coe_map, coe_inter, Set.image_inter f.injective]
 #align finset.map_inter Finset.map_inter
+-/
 
+#print Finset.map_singleton /-
 @[simp]
 theorem map_singleton (f : α ↪ β) (a : α) : map f {a} = {f a} :=
   coe_injective <| by simp only [coe_map, coe_singleton, Set.image_singleton]
 #align finset.map_singleton Finset.map_singleton
+-/
 
+#print Finset.map_insert /-
 @[simp]
 theorem map_insert [DecidableEq α] [DecidableEq β] (f : α ↪ β) (a : α) (s : Finset α) :
     (insert a s).map f = insert (f a) (s.map f) := by
   simp only [insert_eq, map_union, map_singleton]
 #align finset.map_insert Finset.map_insert
+-/
 
+#print Finset.map_cons /-
 @[simp]
 theorem map_cons (f : α ↪ β) (a : α) (s : Finset α) (ha : a ∉ s) :
     (cons a s ha).map f = cons (f a) (s.map f) (by simpa using ha) :=
   eq_of_veq <| Multiset.map_cons f a s.val
 #align finset.map_cons Finset.map_cons
+-/
 
 #print Finset.map_eq_empty /-
 @[simp]
@@ -268,6 +322,7 @@ theorem attach_map_val {s : Finset α} : s.attach.map (Embedding.subtype _) = s
 #align finset.attach_map_val Finset.attach_map_val
 -/
 
+#print Finset.disjoint_range_addLeftEmbedding /-
 theorem disjoint_range_addLeftEmbedding (a b : ℕ) :
     Disjoint (range a) (map (addLeftEmbedding a) (range b)) :=
   by
@@ -277,7 +332,9 @@ theorem disjoint_range_addLeftEmbedding (a b : ℕ) :
   obtain ⟨a, haQ, ha⟩ := hk.2
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_left_embedding Finset.disjoint_range_addLeftEmbedding
+-/
 
+#print Finset.disjoint_range_addRightEmbedding /-
 theorem disjoint_range_addRightEmbedding (a b : ℕ) :
     Disjoint (range a) (map (addRightEmbedding a) (range b)) :=
   by
@@ -287,14 +344,18 @@ theorem disjoint_range_addRightEmbedding (a b : ℕ) :
   obtain ⟨a, haQ, ha⟩ := hk.2
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_right_embedding Finset.disjoint_range_addRightEmbedding
+-/
 
+#print Finset.map_disjiUnion /-
 theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h} :
     (s.map f).disjUnionₓ t h =
       s.disjUnionₓ (fun a => t (f a)) fun a ha b hb hab =>
         h (mem_map_of_mem _ ha) (mem_map_of_mem _ hb) (f.Injective.Ne hab) :=
   eq_of_veq <| Multiset.bind_map _ _ _
 #align finset.map_disj_Union Finset.map_disjiUnion
+-/
 
+#print Finset.disjiUnion_map /-
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
       s.disjUnionₓ (fun a => (t a).map f) fun a ha b hb hab =>
@@ -306,13 +367,16 @@ theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h
           exact disjoint_left.mp (h ha hb hab) hfa hfb :=
   eq_of_veq <| Multiset.map_bind _ _ _
 #align finset.disj_Union_map Finset.disjiUnion_map
+-/
 
 end Map
 
+#print Finset.range_add_one' /-
 theorem range_add_one' (n : ℕ) :
     range (n + 1) = insert 0 ((range n).map ⟨fun i => i + 1, fun i j => Nat.succ.inj⟩) := by
   ext (⟨⟩ | ⟨n⟩) <;> simp [Nat.succ_eq_add_one, Nat.zero_lt_succ n]
 #align finset.range_add_one' Finset.range_add_one'
+-/
 
 /-! ### image -/
 
@@ -328,10 +392,12 @@ def image (f : α → β) (s : Finset α) : Finset β :=
 #align finset.image Finset.image
 -/
 
+#print Finset.image_val /-
 @[simp]
 theorem image_val (f : α → β) (s : Finset α) : (image f s).1 = (s.1.map f).dedup :=
   rfl
 #align finset.image_val Finset.image_val
+-/
 
 #print Finset.image_empty /-
 @[simp]
@@ -342,14 +408,18 @@ theorem image_empty (f : α → β) : (∅ : Finset α).image f = ∅ :=
 
 variable {f g : α → β} {s : Finset α} {t : Finset β} {a : α} {b c : β}
 
+#print Finset.mem_image /-
 @[simp]
 theorem mem_image : b ∈ s.image f ↔ ∃ a ∈ s, f a = b := by
   simp only [mem_def, image_val, mem_dedup, Multiset.mem_map, exists_prop]
 #align finset.mem_image Finset.mem_image
+-/
 
+#print Finset.mem_image_of_mem /-
 theorem mem_image_of_mem (f : α → β) {a} (h : a ∈ s) : f a ∈ s.image f :=
   mem_image.2 ⟨_, h, rfl⟩
 #align finset.mem_image_of_mem Finset.mem_image_of_mem
+-/
 
 #print Finset.forall_image /-
 theorem forall_image {p : β → Prop} : (∀ b ∈ s.image f, p b) ↔ ∀ a ∈ s, p (f a) := by
@@ -380,17 +450,22 @@ instance canLift (c) (p) [CanLift β α c p] :
 #align finset.can_lift Finset.canLift
 -/
 
+#print Finset.image_congr /-
 theorem image_congr (h : (s : Set α).EqOn f g) : Finset.image f s = Finset.image g s := by ext;
   simp_rw [mem_image]; exact bex_congr fun x hx => by rw [h hx]
 #align finset.image_congr Finset.image_congr
+-/
 
+#print Function.Injective.mem_finset_image /-
 theorem Function.Injective.mem_finset_image (hf : Injective f) : f a ∈ s.image f ↔ a ∈ s :=
   by
   refine' ⟨fun h => _, Finset.mem_image_of_mem f⟩
   obtain ⟨y, hy, heq⟩ := mem_image.1 h
   exact hf HEq ▸ hy
 #align function.injective.mem_finset_image Function.Injective.mem_finset_image
+-/
 
+#print Finset.filter_mem_image_eq_image /-
 theorem filter_mem_image_eq_image (f : α → β) (s : Finset α) (t : Finset β) (h : ∀ x ∈ s, f x ∈ t) :
     (t.filterₓ fun y => y ∈ s.image f) = s.image f :=
   by
@@ -398,10 +473,13 @@ theorem filter_mem_image_eq_image (f : α → β) (s : Finset α) (t : Finset β
   simp only [and_imp, exists_prop, and_iff_right_iff_imp, exists_imp]
   rintro x xel rfl; exact h _ xel
 #align finset.filter_mem_image_eq_image Finset.filter_mem_image_eq_image
+-/
 
+#print Finset.fiber_nonempty_iff_mem_image /-
 theorem fiber_nonempty_iff_mem_image (f : α → β) (s : Finset α) (y : β) :
     (s.filterₓ fun x => f x = y).Nonempty ↔ y ∈ s.image f := by simp [Finset.Nonempty]
 #align finset.fiber_nonempty_iff_mem_image Finset.fiber_nonempty_iff_mem_image
+-/
 
 #print Finset.coe_image /-
 @[simp, norm_cast]
@@ -410,10 +488,12 @@ theorem coe_image {f : α → β} : ↑(s.image f) = f '' ↑s :=
 #align finset.coe_image Finset.coe_image
 -/
 
+#print Finset.Nonempty.image /-
 protected theorem Nonempty.image (h : s.Nonempty) (f : α → β) : (s.image f).Nonempty :=
   let ⟨a, ha⟩ := h
   ⟨f a, mem_image_of_mem f ha⟩
 #align finset.nonempty.image Finset.Nonempty.image
+-/
 
 #print Finset.Nonempty.image_iff /-
 @[simp]
@@ -425,13 +505,17 @@ theorem Nonempty.image_iff (f : α → β) : (s.image f).Nonempty ↔ s.Nonempty
 #align finset.nonempty.image_iff Finset.Nonempty.image_iff
 -/
 
+#print Finset.image_toFinset /-
 theorem image_toFinset [DecidableEq α] {s : Multiset α} : s.toFinset.image f = (s.map f).toFinset :=
   ext fun _ => by simp only [mem_image, Multiset.mem_toFinset, exists_prop, Multiset.mem_map]
 #align finset.image_to_finset Finset.image_toFinset
+-/
 
+#print Finset.image_val_of_injOn /-
 theorem image_val_of_injOn (H : Set.InjOn f s) : (image f s).1 = s.1.map f :=
   (s.2.map_onₓ H).dedup
 #align finset.image_val_of_inj_on Finset.image_val_of_injOn
+-/
 
 #print Finset.image_id /-
 @[simp]
@@ -460,10 +544,12 @@ theorem image_comm {β'} [DecidableEq β'] [DecidableEq γ] {f : β → γ} {g :
 #align finset.image_comm Finset.image_comm
 -/
 
+#print Function.Semiconj.finset_image /-
 theorem Function.Semiconj.finset_image [DecidableEq α] {f : α → β} {ga : α → α} {gb : β → β}
     (h : Function.Semiconj f ga gb) : Function.Semiconj (image f) (image ga) (image gb) := fun s =>
   image_comm h
 #align function.semiconj.finset_image Function.Semiconj.finset_image
+-/
 
 #print Function.Commute.finset_image /-
 theorem Function.Commute.finset_image [DecidableEq α] {f g : α → α} (h : Function.Commute f g) :
@@ -472,9 +558,11 @@ theorem Function.Commute.finset_image [DecidableEq α] {f g : α → α} (h : Fu
 #align function.commute.finset_image Function.Commute.finset_image
 -/
 
+#print Finset.image_subset_image /-
 theorem image_subset_image {s₁ s₂ : Finset α} (h : s₁ ⊆ s₂) : s₁.image f ⊆ s₂.image f := by
   simp only [subset_def, image_val, subset_dedup', dedup_subset', Multiset.map_subset_map h]
 #align finset.image_subset_image Finset.image_subset_image
+-/
 
 #print Finset.image_subset_iff /-
 theorem image_subset_iff : s.image f ⊆ t ↔ ∀ x ∈ s, f x ∈ t :=
@@ -484,12 +572,16 @@ theorem image_subset_iff : s.image f ⊆ t ↔ ∀ x ∈ s, f x ∈ t :=
 #align finset.image_subset_iff Finset.image_subset_iff
 -/
 
+#print Finset.image_mono /-
 theorem image_mono (f : α → β) : Monotone (Finset.image f) := fun _ _ => image_subset_image
 #align finset.image_mono Finset.image_mono
+-/
 
+#print Finset.image_subset_image_iff /-
 theorem image_subset_image_iff {t : Finset α} (hf : Injective f) : s.image f ⊆ t.image f ↔ s ⊆ t :=
   by simp_rw [← coe_subset]; push_cast ; exact Set.image_subset_image_iff hf
 #align finset.image_subset_image_iff Finset.image_subset_image_iff
+-/
 
 #print Finset.coe_image_subset_range /-
 theorem coe_image_subset_range : ↑(s.image f) ⊆ Set.range f :=
@@ -510,27 +602,35 @@ theorem image_filter {p : β → Prop} [DecidablePred p] :
 #align finset.image_filter Finset.image_filter
 -/
 
+#print Finset.image_union /-
 theorem image_union [DecidableEq α] {f : α → β} (s₁ s₂ : Finset α) :
     (s₁ ∪ s₂).image f = s₁.image f ∪ s₂.image f :=
   ext fun _ => by simp only [mem_image, mem_union, exists_prop, or_and_right, exists_or]
 #align finset.image_union Finset.image_union
+-/
 
+#print Finset.image_inter_subset /-
 theorem image_inter_subset [DecidableEq α] (f : α → β) (s t : Finset α) :
     (s ∩ t).image f ⊆ s.image f ∩ t.image f :=
   subset_inter (image_subset_image <| inter_subset_left _ _) <|
     image_subset_image <| inter_subset_right _ _
 #align finset.image_inter_subset Finset.image_inter_subset
+-/
 
+#print Finset.image_inter_of_injOn /-
 theorem image_inter_of_injOn [DecidableEq α] {f : α → β} (s t : Finset α)
     (hf : Set.InjOn f (s ∪ t)) : (s ∩ t).image f = s.image f ∩ t.image f :=
   coe_injective <| by push_cast ;
     exact Set.image_inter_on fun a ha b hb => hf (Or.inr ha) <| Or.inl hb
 #align finset.image_inter_of_inj_on Finset.image_inter_of_injOn
+-/
 
+#print Finset.image_inter /-
 theorem image_inter [DecidableEq α] (s₁ s₂ : Finset α) (hf : Injective f) :
     (s₁ ∩ s₂).image f = s₁.image f ∩ s₂.image f :=
   image_inter_of_injOn _ _ <| hf.InjOn _
 #align finset.image_inter Finset.image_inter
+-/
 
 #print Finset.image_singleton /-
 @[simp]
@@ -539,12 +639,15 @@ theorem image_singleton (f : α → β) (a : α) : image f {a} = {f a} :=
 #align finset.image_singleton Finset.image_singleton
 -/
 
+#print Finset.image_insert /-
 @[simp]
 theorem image_insert [DecidableEq α] (f : α → β) (a : α) (s : Finset α) :
     (insert a s).image f = insert (f a) (s.image f) := by
   simp only [insert_eq, image_singleton, image_union]
 #align finset.image_insert Finset.image_insert
+-/
 
+#print Finset.erase_image_subset_image_erase /-
 theorem erase_image_subset_image_erase [DecidableEq α] (f : α → β) (s : Finset α) (a : α) :
     (s.image f).eraseₓ (f a) ⊆ (s.eraseₓ a).image f :=
   by
@@ -552,7 +655,9 @@ theorem erase_image_subset_image_erase [DecidableEq α] (f : α → β) (s : Fin
   rintro b hb x hx rfl
   exact ⟨_, ⟨ne_of_apply_ne f hb, hx⟩, rfl⟩
 #align finset.erase_image_subset_image_erase Finset.erase_image_subset_image_erase
+-/
 
+#print Finset.image_erase /-
 @[simp]
 theorem image_erase [DecidableEq α] {f : α → β} (hf : Injective f) (s : Finset α) (a : α) :
     (s.eraseₓ a).image f = (s.image f).eraseₓ (f a) :=
@@ -562,6 +667,7 @@ theorem image_erase [DecidableEq α] {f : α → β} (hf : Injective f) (s : Fin
   rintro ⟨a', ⟨haa', ha'⟩, rfl⟩
   exact ⟨hf.ne haa', a', ha', rfl⟩
 #align finset.image_erase Finset.image_erase
+-/
 
 #print Finset.image_eq_empty /-
 @[simp]
@@ -571,22 +677,28 @@ theorem image_eq_empty : s.image f = ∅ ↔ s = ∅ :=
 #align finset.image_eq_empty Finset.image_eq_empty
 -/
 
+#print Finset.image_sdiff /-
 theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s \ t).image f = s.image f \ t.image f :=
   coe_injective <| by push_cast ; exact Set.image_diff hf _ _
 #align finset.image_sdiff Finset.image_sdiff
+-/
 
+#print Finset.image_symmDiff /-
 theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s ∆ t).image f = s.image f ∆ t.image f :=
   coe_injective <| by push_cast ; exact Set.image_symm_diff hf _ _
 #align finset.image_symm_diff Finset.image_symmDiff
+-/
 
+#print Disjoint.of_image_finset /-
 @[simp]
 theorem Disjoint.of_image_finset {s t : Finset α} {f : α → β}
     (h : Disjoint (s.image f) (t.image f)) : Disjoint s t :=
   disjoint_iff_ne.2 fun a ha b hb =>
     ne_of_apply_ne f <| h.forall_ne_finset (mem_image_of_mem _ ha) (mem_image_of_mem _ hb)
 #align disjoint.of_image_finset Disjoint.of_image_finset
+-/
 
 #print Finset.mem_range_iff_mem_finset_range_of_mod_eq' /-
 theorem mem_range_iff_mem_finset_range_of_mod_eq' [DecidableEq α] {f : ℕ → α} {a : α} {n : ℕ}
@@ -620,9 +732,11 @@ theorem mem_range_iff_mem_finset_range_of_mod_eq [DecidableEq α] {f : ℤ → 
 #align finset.mem_range_iff_mem_finset_range_of_mod_eq Finset.mem_range_iff_mem_finset_range_of_mod_eq
 -/
 
+#print Finset.range_add /-
 theorem range_add (a b : ℕ) : range (a + b) = range a ∪ (range b).map (addLeftEmbedding a) := by
   rw [← val_inj, union_val]; exact Multiset.range_add_eq_union a b
 #align finset.range_add Finset.range_add
+-/
 
 #print Finset.attach_image_val /-
 @[simp]
@@ -640,6 +754,7 @@ theorem attach_image_val [DecidableEq α] {s : Finset α} : s.attach.image coe =
 #align finset.attach_image_coe Finset.attach_image_val
 -/
 
+#print Finset.attach_insert /-
 @[simp]
 theorem attach_insert [DecidableEq α] {a : α} {s : Finset α} :
     attach (insert a s) =
@@ -651,45 +766,60 @@ theorem attach_insert [DecidableEq α] {a : α} {s : Finset α} :
         mem_insert_of_mem <| mem_image.2 <| ⟨⟨x, h⟩, mem_attach _ _, Subtype.eq rfl⟩,
       fun _ => Finset.mem_attach _ _⟩
 #align finset.attach_insert Finset.attach_insert
+-/
 
+#print Finset.map_eq_image /-
 theorem map_eq_image (f : α ↪ β) (s : Finset α) : s.map f = s.image f :=
   eq_of_veq (s.map f).2.dedup.symm
 #align finset.map_eq_image Finset.map_eq_image
+-/
 
+#print Finset.disjoint_image /-
 @[simp]
 theorem disjoint_image {s t : Finset α} {f : α → β} (hf : Injective f) :
     Disjoint (s.image f) (t.image f) ↔ Disjoint s t := by
   convert disjoint_map ⟨_, hf⟩ <;> simp [map_eq_image]
 #align finset.disjoint_image Finset.disjoint_image
+-/
 
+#print Finset.image_const /-
 theorem image_const {s : Finset α} (h : s.Nonempty) (b : β) : (s.image fun a => b) = singleton b :=
   ext fun b' => by
     simp only [mem_image, exists_prop, exists_and_right, h.bex, true_and_iff, mem_singleton,
       eq_comm]
 #align finset.image_const Finset.image_const
+-/
 
+#print Finset.map_erase /-
 @[simp]
 theorem map_erase [DecidableEq α] (f : α ↪ β) (s : Finset α) (a : α) :
     (s.eraseₓ a).map f = (s.map f).eraseₓ (f a) := by simp_rw [map_eq_image];
   exact s.image_erase f.2 a
 #align finset.map_erase Finset.map_erase
+-/
 
+#print Finset.image_biUnion /-
 theorem image_biUnion [DecidableEq γ] {f : α → β} {s : Finset α} {t : β → Finset γ} :
     (s.image f).biUnion t = s.biUnion fun a => t (f a) :=
   haveI := Classical.decEq α
   Finset.induction_on s rfl fun a s has ih => by simp only [image_insert, bUnion_insert, ih]
 #align finset.image_bUnion Finset.image_biUnion
+-/
 
+#print Finset.biUnion_image /-
 theorem biUnion_image [DecidableEq γ] {s : Finset α} {t : α → Finset β} {f : β → γ} :
     (s.biUnion t).image f = s.biUnion fun a => (t a).image f :=
   haveI := Classical.decEq α
   Finset.induction_on s rfl fun a s has ih => by simp only [bUnion_insert, image_union, ih]
 #align finset.bUnion_image Finset.biUnion_image
+-/
 
+#print Finset.image_biUnion_filter_eq /-
 theorem image_biUnion_filter_eq [DecidableEq α] (s : Finset β) (g : β → α) :
     ((s.image g).biUnion fun a => s.filterₓ fun c => g c = a) = s :=
   biUnion_filter_eq_of_maps_to fun x => mem_image_of_mem g
 #align finset.image_bUnion_filter_eq Finset.image_biUnion_filter_eq
+-/
 
 #print Finset.biUnion_singleton /-
 theorem biUnion_singleton {f : α → β} : (s.biUnion fun a => {f a}) = s.image f :=
@@ -815,10 +945,12 @@ theorem fin_mono {n} : Monotone (Finset.fin n) := fun s t h x => by simpa using
 #align finset.fin_mono Finset.fin_mono
 -/
 
+#print Finset.fin_map /-
 @[simp]
 theorem fin_map {n} {s : Finset ℕ} : (s.Fin n).map Fin.valEmbedding = s.filterₓ (· < n) := by
   simp [Finset.fin, Finset.map_map]
 #align finset.fin_map Finset.fin_map
+-/
 
 #print Finset.subset_image_iff /-
 theorem subset_image_iff [DecidableEq β] {s : Set α} {t : Finset β} {f : α → β} :
@@ -834,6 +966,7 @@ theorem subset_image_iff [DecidableEq β] {s : Set α} {t : Finset β} {f : α 
 #align finset.subset_image_iff Finset.subset_image_iff
 -/
 
+#print Finset.range_sdiff_zero /-
 theorem range_sdiff_zero {n : ℕ} : range (n + 1) \ {0} = (range n).image Nat.succ :=
   by
   induction' n with k hk
@@ -842,13 +975,16 @@ theorem range_sdiff_zero {n : ℕ} : range (n + 1) \ {0} = (range n).image Nat.s
   rw [range_succ, image_insert, ← hk, insert_sdiff_of_not_mem]
   simp
 #align finset.range_sdiff_zero Finset.range_sdiff_zero
+-/
 
 end Finset
 
+#print Multiset.toFinset_map /-
 theorem Multiset.toFinset_map [DecidableEq α] [DecidableEq β] (f : α → β) (m : Multiset α) :
     (m.map f).toFinset = m.toFinset.image f :=
   Finset.val_inj.1 (Multiset.dedup_map_dedup_eq _ _).symm
 #align multiset.to_finset_map Multiset.toFinset_map
+-/
 
 namespace Equiv
 
@@ -863,10 +999,12 @@ protected def finsetCongr (e : α ≃ β) : Finset α ≃ Finset β
 #align equiv.finset_congr Equiv.finsetCongr
 -/
 
+#print Equiv.finsetCongr_apply /-
 @[simp]
 theorem finsetCongr_apply (e : α ≃ β) (s : Finset α) : e.finsetCongr s = s.map e.toEmbedding :=
   rfl
 #align equiv.finset_congr_apply Equiv.finsetCongr_apply
+-/
 
 #print Equiv.finsetCongr_refl /-
 @[simp]
@@ -874,21 +1012,27 @@ theorem finsetCongr_refl : (Equiv.refl α).finsetCongr = Equiv.refl _ := by ext;
 #align equiv.finset_congr_refl Equiv.finsetCongr_refl
 -/
 
+#print Equiv.finsetCongr_symm /-
 @[simp]
 theorem finsetCongr_symm (e : α ≃ β) : e.finsetCongr.symm = e.symm.finsetCongr :=
   rfl
 #align equiv.finset_congr_symm Equiv.finsetCongr_symm
+-/
 
+#print Equiv.finsetCongr_trans /-
 @[simp]
 theorem finsetCongr_trans (e : α ≃ β) (e' : β ≃ γ) :
     e.finsetCongr.trans e'.finsetCongr = (e.trans e').finsetCongr := by ext;
   simp [-Finset.mem_map, -Equiv.trans_toEmbedding]
 #align equiv.finset_congr_trans Equiv.finsetCongr_trans
+-/
 
+#print Equiv.finsetCongr_toEmbedding /-
 theorem finsetCongr_toEmbedding (e : α ≃ β) :
     e.finsetCongr.toEmbedding = (Finset.mapEmbedding e.toEmbedding).toEmbedding :=
   rfl
 #align equiv.finset_congr_to_embedding Equiv.finsetCongr_toEmbedding
+-/
 
 end Equiv
 
Diff
@@ -107,7 +107,6 @@ theorem coe_map_subset_range (f : α ↪ β) (s : Finset α) : (s.map f : Set β
   calc
     ↑(s.map f) = f '' s := coe_map f s
     _ ⊆ Set.range f := Set.image_subset_range f ↑s
-    
 #align finset.coe_map_subset_range Finset.coe_map_subset_range
 
 #print Finset.map_perm /-
@@ -482,7 +481,6 @@ theorem image_subset_iff : s.image f ⊆ t ↔ ∀ x ∈ s, f x ∈ t :=
   calc
     s.image f ⊆ t ↔ f '' ↑s ⊆ ↑t := by norm_cast
     _ ↔ _ := Set.image_subset_iff
-    
 #align finset.image_subset_iff Finset.image_subset_iff
 -/
 
@@ -498,7 +496,6 @@ theorem coe_image_subset_range : ↑(s.image f) ⊆ Set.range f :=
   calc
     ↑(s.image f) = f '' ↑s := coe_image
     _ ⊆ Set.range f := Set.image_subset_range f ↑s
-    
 #align finset.coe_image_subset_range Finset.coe_image_subset_range
 -/
 
Diff
@@ -113,7 +113,7 @@ theorem coe_map_subset_range (f : α ↪ β) (s : Finset α) : (s.map f : Set β
 #print Finset.map_perm /-
 /-- If the only elements outside `s` are those left fixed by `σ`, then mapping by `σ` has no effect.
 -/
-theorem map_perm {σ : Equiv.Perm α} (hs : { a | σ a ≠ a } ⊆ s) : s.map (σ : α ↪ α) = s :=
+theorem map_perm {σ : Equiv.Perm α} (hs : {a | σ a ≠ a} ⊆ s) : s.map (σ : α ↪ α) = s :=
   coe_injective <| (coe_map _ _).trans <| Set.image_perm hs
 #align finset.map_perm Finset.map_perm
 -/
Diff
@@ -274,7 +274,7 @@ theorem disjoint_range_addLeftEmbedding (a b : ℕ) :
   by
   refine' disjoint_iff_inf_le.mpr _
   intro k hk
-  simp only [exists_prop, mem_range, inf_eq_inter, mem_map, addLeftEmbedding_apply, mem_inter] at hk
+  simp only [exists_prop, mem_range, inf_eq_inter, mem_map, addLeftEmbedding_apply, mem_inter] at hk 
   obtain ⟨a, haQ, ha⟩ := hk.2
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_left_embedding Finset.disjoint_range_addLeftEmbedding
@@ -284,7 +284,7 @@ theorem disjoint_range_addRightEmbedding (a b : ℕ) :
   by
   refine' disjoint_iff_inf_le.mpr _
   intro k hk
-  simp only [exists_prop, mem_range, inf_eq_inter, mem_map, addLeftEmbedding_apply, mem_inter] at hk
+  simp only [exists_prop, mem_range, inf_eq_inter, mem_map, addLeftEmbedding_apply, mem_inter] at hk 
   obtain ⟨a, haQ, ha⟩ := hk.2
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_right_embedding Finset.disjoint_range_addRightEmbedding
@@ -786,7 +786,7 @@ subtype. -/
 theorem map_subtype_subset {t : Set α} (s : Finset t) : ↑(s.map (Embedding.subtype _)) ⊆ t :=
   by
   intro a ha
-  rw [mem_coe] at ha
+  rw [mem_coe] at ha 
   convert property_of_mem_map_subtype s ha
 #align finset.map_subtype_subset Finset.map_subtype_subset
 -/
Diff
@@ -164,11 +164,13 @@ theorem map_subset_map {s₁ s₂ : Finset α} : s₁.map f ⊆ s₂.map f ↔ s
     simp [subset_def, map_subset_map h]⟩
 #align finset.map_subset_map Finset.map_subset_map
 
+#print Finset.mapEmbedding /-
 /-- Associate to an embedding `f` from `α` to `β` the order embedding that maps a finset to its
 image under `f`. -/
 def mapEmbedding (f : α ↪ β) : Finset α ↪o Finset β :=
   OrderEmbedding.ofMapLEIff (map f) fun _ _ => map_subset_map
 #align finset.map_embedding Finset.mapEmbedding
+-/
 
 @[simp]
 theorem map_inj {s₁ s₂ : Finset α} : s₁.map f = s₂.map f ↔ s₁ = s₂ :=
Diff
@@ -58,23 +58,11 @@ def map (f : α ↪ β) (s : Finset α) : Finset β :=
 #align finset.map Finset.map
 -/
 
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 @[simp]
 theorem map_val (f : α ↪ β) (s : Finset α) : (map f s).1 = s.1.map f :=
   rfl
 #align finset.map_val Finset.map_val
 
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 @[simp]
 theorem map_empty (f : α ↪ β) : (∅ : Finset α).map f = ∅ :=
   rfl
@@ -82,87 +70,39 @@ theorem map_empty (f : α ↪ β) : (∅ : Finset α).map f = ∅ :=
 
 variable {f : α ↪ β} {s : Finset α}
 
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 @[simp]
 theorem mem_map {b : β} : b ∈ s.map f ↔ ∃ a ∈ s, f a = b :=
   mem_map.trans <| by simp only [exists_prop] <;> rfl
 #align finset.mem_map Finset.mem_map
 
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 @[simp]
 theorem mem_map_equiv {f : α ≃ β} {b : β} : b ∈ s.map f.toEmbedding ↔ f.symm b ∈ s := by
   rw [mem_map]; exact ⟨by rintro ⟨a, H, rfl⟩; simpa, fun h => ⟨_, h, by simp⟩⟩
 #align finset.mem_map_equiv Finset.mem_map_equiv
 
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 theorem mem_map' (f : α ↪ β) {a} {s : Finset α} : f a ∈ s.map f ↔ a ∈ s :=
   mem_map_of_injective f.2
 #align finset.mem_map' Finset.mem_map'
 
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 theorem mem_map_of_mem (f : α ↪ β) {a} {s : Finset α} : a ∈ s → f a ∈ s.map f :=
   (mem_map' _).2
 #align finset.mem_map_of_mem Finset.mem_map_of_mem
 
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 theorem forall_mem_map {f : α ↪ β} {s : Finset α} {p : ∀ a, a ∈ s.map f → Prop} :
     (∀ y ∈ s.map f, p y H) ↔ ∀ x ∈ s, p (f x) (mem_map_of_mem _ H) :=
   ⟨fun h y hy => h (f y) (mem_map_of_mem _ hy), fun h x hx => by
     obtain ⟨y, hy, rfl⟩ := mem_map.1 hx; exact h _ hy⟩
 #align finset.forall_mem_map Finset.forall_mem_map
 
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 theorem apply_coe_mem_map (f : α ↪ β) (s : Finset α) (x : s) : f x ∈ s.map f :=
   mem_map_of_mem f x.Prop
 #align finset.apply_coe_mem_map Finset.apply_coe_mem_map
 
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 @[simp, norm_cast]
 theorem coe_map (f : α ↪ β) (s : Finset α) : (s.map f : Set β) = f '' s :=
   Set.ext fun x => mem_map.trans Set.mem_image_iff_bex.symm
 #align finset.coe_map Finset.coe_map
 
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 theorem coe_map_subset_range (f : α ↪ β) (s : Finset α) : (s.map f : Set β) ⊆ Set.range f :=
   calc
     ↑(s.map f) = f '' s := coe_map f s
@@ -178,12 +118,6 @@ theorem map_perm {σ : Equiv.Perm α} (hs : { a | σ a ≠ a } ⊆ s) : s.map (
 #align finset.map_perm Finset.map_perm
 -/
 
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 theorem map_toFinset [DecidableEq α] [DecidableEq β] {s : Multiset α} :
     s.toFinset.map f = (s.map f).toFinset :=
   ext fun _ => by simp only [mem_map, Multiset.mem_map, exists_prop, Multiset.mem_toFinset]
@@ -203,33 +137,15 @@ theorem map_cast_heq {α β} (h : α = β) (s : Finset α) : HEq (s.map (Equiv.c
 #align finset.map_cast_heq Finset.map_cast_heq
 -/
 
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 theorem map_map (f : α ↪ β) (g : β ↪ γ) (s : Finset α) : (s.map f).map g = s.map (f.trans g) :=
   eq_of_veq <| by simp only [map_val, Multiset.map_map] <;> rfl
 #align finset.map_map Finset.map_map
 
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 theorem map_comm {β'} {f : β ↪ γ} {g : α ↪ β} {f' : α ↪ β'} {g' : β' ↪ γ}
     (h_comm : ∀ a, f (g a) = g' (f' a)) : (s.map g).map f = (s.map f').map g' := by
   simp_rw [map_map, embedding.trans, Function.comp, h_comm]
 #align finset.map_comm Finset.map_comm
 
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 theorem Function.Semiconj.finset_map {f : α ↪ β} {ga : α ↪ α} {gb : β ↪ β}
     (h : Function.Semiconj f ga gb) : Function.Semiconj (map f) (map ga) (map gb) := fun s =>
   map_comm h
@@ -242,57 +158,27 @@ theorem Function.Commute.finset_map {f g : α ↪ α} (h : Function.Commute f g)
 #align function.commute.finset_map Function.Commute.finset_map
 -/
 
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 @[simp]
 theorem map_subset_map {s₁ s₂ : Finset α} : s₁.map f ⊆ s₂.map f ↔ s₁ ⊆ s₂ :=
   ⟨fun h x xs => (mem_map' _).1 <| h <| (mem_map' f).2 xs, fun h => by
     simp [subset_def, map_subset_map h]⟩
 #align finset.map_subset_map Finset.map_subset_map
 
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 /-- Associate to an embedding `f` from `α` to `β` the order embedding that maps a finset to its
 image under `f`. -/
 def mapEmbedding (f : α ↪ β) : Finset α ↪o Finset β :=
   OrderEmbedding.ofMapLEIff (map f) fun _ _ => map_subset_map
 #align finset.map_embedding Finset.mapEmbedding
 
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 @[simp]
 theorem map_inj {s₁ s₂ : Finset α} : s₁.map f = s₂.map f ↔ s₁ = s₂ :=
   (mapEmbedding f).Injective.eq_iff
 #align finset.map_inj Finset.map_inj
 
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 theorem map_injective (f : α ↪ β) : Injective (map f) :=
   (mapEmbedding f).Injective
 #align finset.map_injective Finset.map_injective
 
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 @[simp]
 theorem mapEmbedding_apply : mapEmbedding f s = map f s :=
   rfl
@@ -305,23 +191,11 @@ theorem filter_map {p : β → Prop} [DecidablePred p] :
 #align finset.filter_map Finset.filter_map
 -/
 
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 theorem map_filter {f : α ≃ β} {p : α → Prop} [DecidablePred p] :
     (s.filterₓ p).map f.toEmbedding = (s.map f.toEmbedding).filterₓ (p ∘ f.symm) := by
   simp only [filter_map, Function.comp, Equiv.toEmbedding_apply, Equiv.symm_apply_apply]
 #align finset.map_filter Finset.map_filter
 
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 @[simp]
 theorem disjoint_map {s t : Finset α} (f : α ↪ β) : Disjoint (s.map f) (t.map f) ↔ Disjoint s t :=
   by
@@ -331,77 +205,38 @@ theorem disjoint_map {s t : Finset α} (f : α ↪ β) : Disjoint (s.map f) (t.m
   exact f.injective.ne (h _ ha _ hb)
 #align finset.disjoint_map Finset.disjoint_map
 
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 theorem map_disjUnion {f : α ↪ β} (s₁ s₂ : Finset α) (h) (h' := (disjoint_map _).mpr h) :
     (s₁.disjUnion s₂ h).map f = (s₁.map f).disjUnion (s₂.map f) h' :=
   eq_of_veq <| Multiset.map_add _ _ _
 #align finset.map_disj_union Finset.map_disjUnion
 
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 /-- A version of `finset.map_disj_union` for writing in the other direction. -/
 theorem map_disjUnion' {f : α ↪ β} (s₁ s₂ : Finset α) (h') (h := (disjoint_map _).mp h') :
     (s₁.disjUnion s₂ h).map f = (s₁.map f).disjUnion (s₂.map f) h' :=
   map_disjUnion _ _ _
 #align finset.map_disj_union' Finset.map_disjUnion'
 
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 theorem map_union [DecidableEq α] [DecidableEq β] {f : α ↪ β} (s₁ s₂ : Finset α) :
     (s₁ ∪ s₂).map f = s₁.map f ∪ s₂.map f :=
   coe_injective <| by simp only [coe_map, coe_union, Set.image_union]
 #align finset.map_union Finset.map_union
 
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 theorem map_inter [DecidableEq α] [DecidableEq β] {f : α ↪ β} (s₁ s₂ : Finset α) :
     (s₁ ∩ s₂).map f = s₁.map f ∩ s₂.map f :=
   coe_injective <| by simp only [coe_map, coe_inter, Set.image_inter f.injective]
 #align finset.map_inter Finset.map_inter
 
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 @[simp]
 theorem map_singleton (f : α ↪ β) (a : α) : map f {a} = {f a} :=
   coe_injective <| by simp only [coe_map, coe_singleton, Set.image_singleton]
 #align finset.map_singleton Finset.map_singleton
 
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 @[simp]
 theorem map_insert [DecidableEq α] [DecidableEq β] (f : α ↪ β) (a : α) (s : Finset α) :
     (insert a s).map f = insert (f a) (s.map f) := by
   simp only [insert_eq, map_union, map_singleton]
 #align finset.map_insert Finset.map_insert
 
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 @[simp]
 theorem map_cons (f : α ↪ β) (a : α) (s : Finset α) (ha : a ∉ s) :
     (cons a s ha).map f = cons (f a) (s.map f) (by simpa using ha) :=
@@ -432,12 +267,6 @@ theorem attach_map_val {s : Finset α} : s.attach.map (Embedding.subtype _) = s
 #align finset.attach_map_val Finset.attach_map_val
 -/
 
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 theorem disjoint_range_addLeftEmbedding (a b : ℕ) :
     Disjoint (range a) (map (addLeftEmbedding a) (range b)) :=
   by
@@ -448,12 +277,6 @@ theorem disjoint_range_addLeftEmbedding (a b : ℕ) :
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_left_embedding Finset.disjoint_range_addLeftEmbedding
 
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 theorem disjoint_range_addRightEmbedding (a b : ℕ) :
     Disjoint (range a) (map (addRightEmbedding a) (range b)) :=
   by
@@ -464,12 +287,6 @@ theorem disjoint_range_addRightEmbedding (a b : ℕ) :
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_right_embedding Finset.disjoint_range_addRightEmbedding
 
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 theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h} :
     (s.map f).disjUnionₓ t h =
       s.disjUnionₓ (fun a => t (f a)) fun a ha b hb hab =>
@@ -477,9 +294,6 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
   eq_of_veq <| Multiset.bind_map _ _ _
 #align finset.map_disj_Union Finset.map_disjiUnion
 
-/- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
-<too large>
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 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
       s.disjUnionₓ (fun a => (t a).map f) fun a ha b hb hab =>
@@ -494,12 +308,6 @@ theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h
 
 end Map
 
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 theorem range_add_one' (n : ℕ) :
     range (n + 1) = insert 0 ((range n).map ⟨fun i => i + 1, fun i j => Nat.succ.inj⟩) := by
   ext (⟨⟩ | ⟨n⟩) <;> simp [Nat.succ_eq_add_one, Nat.zero_lt_succ n]
@@ -519,12 +327,6 @@ def image (f : α → β) (s : Finset α) : Finset β :=
 #align finset.image Finset.image
 -/
 
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 @[simp]
 theorem image_val (f : α → β) (s : Finset α) : (image f s).1 = (s.1.map f).dedup :=
   rfl
@@ -539,23 +341,11 @@ theorem image_empty (f : α → β) : (∅ : Finset α).image f = ∅ :=
 
 variable {f g : α → β} {s : Finset α} {t : Finset β} {a : α} {b c : β}
 
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 @[simp]
 theorem mem_image : b ∈ s.image f ↔ ∃ a ∈ s, f a = b := by
   simp only [mem_def, image_val, mem_dedup, Multiset.mem_map, exists_prop]
 #align finset.mem_image Finset.mem_image
 
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 theorem mem_image_of_mem (f : α → β) {a} (h : a ∈ s) : f a ∈ s.image f :=
   mem_image.2 ⟨_, h, rfl⟩
 #align finset.mem_image_of_mem Finset.mem_image_of_mem
@@ -589,22 +379,10 @@ instance canLift (c) (p) [CanLift β α c p] :
 #align finset.can_lift Finset.canLift
 -/
 
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 theorem image_congr (h : (s : Set α).EqOn f g) : Finset.image f s = Finset.image g s := by ext;
   simp_rw [mem_image]; exact bex_congr fun x hx => by rw [h hx]
 #align finset.image_congr Finset.image_congr
 
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 theorem Function.Injective.mem_finset_image (hf : Injective f) : f a ∈ s.image f ↔ a ∈ s :=
   by
   refine' ⟨fun h => _, Finset.mem_image_of_mem f⟩
@@ -612,12 +390,6 @@ theorem Function.Injective.mem_finset_image (hf : Injective f) : f a ∈ s.image
   exact hf HEq ▸ hy
 #align function.injective.mem_finset_image Function.Injective.mem_finset_image
 
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 theorem filter_mem_image_eq_image (f : α → β) (s : Finset α) (t : Finset β) (h : ∀ x ∈ s, f x ∈ t) :
     (t.filterₓ fun y => y ∈ s.image f) = s.image f :=
   by
@@ -626,12 +398,6 @@ theorem filter_mem_image_eq_image (f : α → β) (s : Finset α) (t : Finset β
   rintro x xel rfl; exact h _ xel
 #align finset.filter_mem_image_eq_image Finset.filter_mem_image_eq_image
 
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 theorem fiber_nonempty_iff_mem_image (f : α → β) (s : Finset α) (y : β) :
     (s.filterₓ fun x => f x = y).Nonempty ↔ y ∈ s.image f := by simp [Finset.Nonempty]
 #align finset.fiber_nonempty_iff_mem_image Finset.fiber_nonempty_iff_mem_image
@@ -643,12 +409,6 @@ theorem coe_image {f : α → β} : ↑(s.image f) = f '' ↑s :=
 #align finset.coe_image Finset.coe_image
 -/
 
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 protected theorem Nonempty.image (h : s.Nonempty) (f : α → β) : (s.image f).Nonempty :=
   let ⟨a, ha⟩ := h
   ⟨f a, mem_image_of_mem f ha⟩
@@ -664,22 +424,10 @@ theorem Nonempty.image_iff (f : α → β) : (s.image f).Nonempty ↔ s.Nonempty
 #align finset.nonempty.image_iff Finset.Nonempty.image_iff
 -/
 
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 theorem image_toFinset [DecidableEq α] {s : Multiset α} : s.toFinset.image f = (s.map f).toFinset :=
   ext fun _ => by simp only [mem_image, Multiset.mem_toFinset, exists_prop, Multiset.mem_map]
 #align finset.image_to_finset Finset.image_toFinset
 
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 theorem image_val_of_injOn (H : Set.InjOn f s) : (image f s).1 = s.1.map f :=
   (s.2.map_onₓ H).dedup
 #align finset.image_val_of_inj_on Finset.image_val_of_injOn
@@ -711,12 +459,6 @@ theorem image_comm {β'} [DecidableEq β'] [DecidableEq γ] {f : β → γ} {g :
 #align finset.image_comm Finset.image_comm
 -/
 
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 theorem Function.Semiconj.finset_image [DecidableEq α] {f : α → β} {ga : α → α} {gb : β → β}
     (h : Function.Semiconj f ga gb) : Function.Semiconj (image f) (image ga) (image gb) := fun s =>
   image_comm h
@@ -729,12 +471,6 @@ theorem Function.Commute.finset_image [DecidableEq α] {f g : α → α} (h : Fu
 #align function.commute.finset_image Function.Commute.finset_image
 -/
 
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 theorem image_subset_image {s₁ s₂ : Finset α} (h : s₁ ⊆ s₂) : s₁.image f ⊆ s₂.image f := by
   simp only [subset_def, image_val, subset_dedup', dedup_subset', Multiset.map_subset_map h]
 #align finset.image_subset_image Finset.image_subset_image
@@ -748,21 +484,9 @@ theorem image_subset_iff : s.image f ⊆ t ↔ ∀ x ∈ s, f x ∈ t :=
 #align finset.image_subset_iff Finset.image_subset_iff
 -/
 
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 theorem image_mono (f : α → β) : Monotone (Finset.image f) := fun _ _ => image_subset_image
 #align finset.image_mono Finset.image_mono
 
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 theorem image_subset_image_iff {t : Finset α} (hf : Injective f) : s.image f ⊆ t.image f ↔ s ⊆ t :=
   by simp_rw [← coe_subset]; push_cast ; exact Set.image_subset_image_iff hf
 #align finset.image_subset_image_iff Finset.image_subset_image_iff
@@ -787,47 +511,23 @@ theorem image_filter {p : β → Prop} [DecidablePred p] :
 #align finset.image_filter Finset.image_filter
 -/
 
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 theorem image_union [DecidableEq α] {f : α → β} (s₁ s₂ : Finset α) :
     (s₁ ∪ s₂).image f = s₁.image f ∪ s₂.image f :=
   ext fun _ => by simp only [mem_image, mem_union, exists_prop, or_and_right, exists_or]
 #align finset.image_union Finset.image_union
 
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 theorem image_inter_subset [DecidableEq α] (f : α → β) (s t : Finset α) :
     (s ∩ t).image f ⊆ s.image f ∩ t.image f :=
   subset_inter (image_subset_image <| inter_subset_left _ _) <|
     image_subset_image <| inter_subset_right _ _
 #align finset.image_inter_subset Finset.image_inter_subset
 
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 theorem image_inter_of_injOn [DecidableEq α] {f : α → β} (s t : Finset α)
     (hf : Set.InjOn f (s ∪ t)) : (s ∩ t).image f = s.image f ∩ t.image f :=
   coe_injective <| by push_cast ;
     exact Set.image_inter_on fun a ha b hb => hf (Or.inr ha) <| Or.inl hb
 #align finset.image_inter_of_inj_on Finset.image_inter_of_injOn
 
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 theorem image_inter [DecidableEq α] (s₁ s₂ : Finset α) (hf : Injective f) :
     (s₁ ∩ s₂).image f = s₁.image f ∩ s₂.image f :=
   image_inter_of_injOn _ _ <| hf.InjOn _
@@ -840,24 +540,12 @@ theorem image_singleton (f : α → β) (a : α) : image f {a} = {f a} :=
 #align finset.image_singleton Finset.image_singleton
 -/
 
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 @[simp]
 theorem image_insert [DecidableEq α] (f : α → β) (a : α) (s : Finset α) :
     (insert a s).image f = insert (f a) (s.image f) := by
   simp only [insert_eq, image_singleton, image_union]
 #align finset.image_insert Finset.image_insert
 
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 theorem erase_image_subset_image_erase [DecidableEq α] (f : α → β) (s : Finset α) (a : α) :
     (s.image f).eraseₓ (f a) ⊆ (s.eraseₓ a).image f :=
   by
@@ -866,12 +554,6 @@ theorem erase_image_subset_image_erase [DecidableEq α] (f : α → β) (s : Fin
   exact ⟨_, ⟨ne_of_apply_ne f hb, hx⟩, rfl⟩
 #align finset.erase_image_subset_image_erase Finset.erase_image_subset_image_erase
 
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 @[simp]
 theorem image_erase [DecidableEq α] {f : α → β} (hf : Injective f) (s : Finset α) (a : α) :
     (s.eraseₓ a).image f = (s.image f).eraseₓ (f a) :=
@@ -890,34 +572,16 @@ theorem image_eq_empty : s.image f = ∅ ↔ s = ∅ :=
 #align finset.image_eq_empty Finset.image_eq_empty
 -/
 
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 theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s \ t).image f = s.image f \ t.image f :=
   coe_injective <| by push_cast ; exact Set.image_diff hf _ _
 #align finset.image_sdiff Finset.image_sdiff
 
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 theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s ∆ t).image f = s.image f ∆ t.image f :=
   coe_injective <| by push_cast ; exact Set.image_symm_diff hf _ _
 #align finset.image_symm_diff Finset.image_symmDiff
 
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 @[simp]
 theorem Disjoint.of_image_finset {s t : Finset α} {f : α → β}
     (h : Disjoint (s.image f) (t.image f)) : Disjoint s t :=
@@ -957,12 +621,6 @@ theorem mem_range_iff_mem_finset_range_of_mod_eq [DecidableEq α] {f : ℤ → 
 #align finset.mem_range_iff_mem_finset_range_of_mod_eq Finset.mem_range_iff_mem_finset_range_of_mod_eq
 -/
 
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 theorem range_add (a b : ℕ) : range (a + b) = range a ∪ (range b).map (addLeftEmbedding a) := by
   rw [← val_inj, union_val]; exact Multiset.range_add_eq_union a b
 #align finset.range_add Finset.range_add
@@ -983,12 +641,6 @@ theorem attach_image_val [DecidableEq α] {s : Finset α} : s.attach.image coe =
 #align finset.attach_image_coe Finset.attach_image_val
 -/
 
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 @[simp]
 theorem attach_insert [DecidableEq α] {a : α} {s : Finset α} :
     attach (insert a s) =
@@ -1001,82 +653,40 @@ theorem attach_insert [DecidableEq α] {a : α} {s : Finset α} :
       fun _ => Finset.mem_attach _ _⟩
 #align finset.attach_insert Finset.attach_insert
 
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 theorem map_eq_image (f : α ↪ β) (s : Finset α) : s.map f = s.image f :=
   eq_of_veq (s.map f).2.dedup.symm
 #align finset.map_eq_image Finset.map_eq_image
 
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 @[simp]
 theorem disjoint_image {s t : Finset α} {f : α → β} (hf : Injective f) :
     Disjoint (s.image f) (t.image f) ↔ Disjoint s t := by
   convert disjoint_map ⟨_, hf⟩ <;> simp [map_eq_image]
 #align finset.disjoint_image Finset.disjoint_image
 
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 theorem image_const {s : Finset α} (h : s.Nonempty) (b : β) : (s.image fun a => b) = singleton b :=
   ext fun b' => by
     simp only [mem_image, exists_prop, exists_and_right, h.bex, true_and_iff, mem_singleton,
       eq_comm]
 #align finset.image_const Finset.image_const
 
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 @[simp]
 theorem map_erase [DecidableEq α] (f : α ↪ β) (s : Finset α) (a : α) :
     (s.eraseₓ a).map f = (s.map f).eraseₓ (f a) := by simp_rw [map_eq_image];
   exact s.image_erase f.2 a
 #align finset.map_erase Finset.map_erase
 
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 theorem image_biUnion [DecidableEq γ] {f : α → β} {s : Finset α} {t : β → Finset γ} :
     (s.image f).biUnion t = s.biUnion fun a => t (f a) :=
   haveI := Classical.decEq α
   Finset.induction_on s rfl fun a s has ih => by simp only [image_insert, bUnion_insert, ih]
 #align finset.image_bUnion Finset.image_biUnion
 
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 theorem biUnion_image [DecidableEq γ] {s : Finset α} {t : α → Finset β} {f : β → γ} :
     (s.biUnion t).image f = s.biUnion fun a => (t a).image f :=
   haveI := Classical.decEq α
   Finset.induction_on s rfl fun a s has ih => by simp only [bUnion_insert, image_union, ih]
 #align finset.bUnion_image Finset.biUnion_image
 
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 theorem image_biUnion_filter_eq [DecidableEq α] (s : Finset β) (g : β → α) :
     ((s.image g).biUnion fun a => s.filterₓ fun c => g c = a) = s :=
   biUnion_filter_eq_of_maps_to fun x => mem_image_of_mem g
@@ -1206,12 +816,6 @@ theorem fin_mono {n} : Monotone (Finset.fin n) := fun s t h x => by simpa using
 #align finset.fin_mono Finset.fin_mono
 -/
 
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 @[simp]
 theorem fin_map {n} {s : Finset ℕ} : (s.Fin n).map Fin.valEmbedding = s.filterₓ (· < n) := by
   simp [Finset.fin, Finset.map_map]
@@ -1231,12 +835,6 @@ theorem subset_image_iff [DecidableEq β] {s : Set α} {t : Finset β} {f : α 
 #align finset.subset_image_iff Finset.subset_image_iff
 -/
 
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 theorem range_sdiff_zero {n : ℕ} : range (n + 1) \ {0} = (range n).image Nat.succ :=
   by
   induction' n with k hk
@@ -1248,12 +846,6 @@ theorem range_sdiff_zero {n : ℕ} : range (n + 1) \ {0} = (range n).image Nat.s
 
 end Finset
 
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 theorem Multiset.toFinset_map [DecidableEq α] [DecidableEq β] (f : α → β) (m : Multiset α) :
     (m.map f).toFinset = m.toFinset.image f :=
   Finset.val_inj.1 (Multiset.dedup_map_dedup_eq _ _).symm
@@ -1272,12 +864,6 @@ protected def finsetCongr (e : α ≃ β) : Finset α ≃ Finset β
 #align equiv.finset_congr Equiv.finsetCongr
 -/
 
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 @[simp]
 theorem finsetCongr_apply (e : α ≃ β) (s : Finset α) : e.finsetCongr s = s.map e.toEmbedding :=
   rfl
@@ -1289,35 +875,17 @@ theorem finsetCongr_refl : (Equiv.refl α).finsetCongr = Equiv.refl _ := by ext;
 #align equiv.finset_congr_refl Equiv.finsetCongr_refl
 -/
 
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 @[simp]
 theorem finsetCongr_symm (e : α ≃ β) : e.finsetCongr.symm = e.symm.finsetCongr :=
   rfl
 #align equiv.finset_congr_symm Equiv.finsetCongr_symm
 
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-Case conversion may be inaccurate. Consider using '#align equiv.finset_congr_trans Equiv.finsetCongr_transₓ'. -/
 @[simp]
 theorem finsetCongr_trans (e : α ≃ β) (e' : β ≃ γ) :
     e.finsetCongr.trans e'.finsetCongr = (e.trans e').finsetCongr := by ext;
   simp [-Finset.mem_map, -Equiv.trans_toEmbedding]
 #align equiv.finset_congr_trans Equiv.finsetCongr_trans
 
-/- warning: equiv.finset_congr_to_embedding -> Equiv.finsetCongr_toEmbedding is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align equiv.finset_congr_to_embedding Equiv.finsetCongr_toEmbeddingₓ'. -/
 theorem finsetCongr_toEmbedding (e : α ≃ β) :
     e.finsetCongr.toEmbedding = (Finset.mapEmbedding e.toEmbedding).toEmbedding :=
   rfl
Diff
@@ -100,13 +100,8 @@ but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} {s : Finset.{u2} α} {f : Equiv.{succ u2, succ u1} α β} {b : β}, Iff (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) b (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) s)) (Membership.mem.{u2, u2} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : β) => α) b) (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (_x : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : β) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f) b) s)
 Case conversion may be inaccurate. Consider using '#align finset.mem_map_equiv Finset.mem_map_equivₓ'. -/
 @[simp]
-theorem mem_map_equiv {f : α ≃ β} {b : β} : b ∈ s.map f.toEmbedding ↔ f.symm b ∈ s :=
-  by
-  rw [mem_map]
-  exact
-    ⟨by
-      rintro ⟨a, H, rfl⟩
-      simpa, fun h => ⟨_, h, by simp⟩⟩
+theorem mem_map_equiv {f : α ≃ β} {b : β} : b ∈ s.map f.toEmbedding ↔ f.symm b ∈ s := by
+  rw [mem_map]; exact ⟨by rintro ⟨a, H, rfl⟩; simpa, fun h => ⟨_, h, by simp⟩⟩
 #align finset.mem_map_equiv Finset.mem_map_equiv
 
 /- warning: finset.mem_map' -> Finset.mem_map' is a dubious translation:
@@ -137,10 +132,8 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align finset.forall_mem_map Finset.forall_mem_mapₓ'. -/
 theorem forall_mem_map {f : α ↪ β} {s : Finset α} {p : ∀ a, a ∈ s.map f → Prop} :
     (∀ y ∈ s.map f, p y H) ↔ ∀ x ∈ s, p (f x) (mem_map_of_mem _ H) :=
-  ⟨fun h y hy => h (f y) (mem_map_of_mem _ hy), fun h x hx =>
-    by
-    obtain ⟨y, hy, rfl⟩ := mem_map.1 hx
-    exact h _ hy⟩
+  ⟨fun h y hy => h (f y) (mem_map_of_mem _ hy), fun h x hx => by
+    obtain ⟨y, hy, rfl⟩ := mem_map.1 hx; exact h _ hy⟩
 #align finset.forall_mem_map Finset.forall_mem_map
 
 /- warning: finset.apply_coe_mem_map -> Finset.apply_coe_mem_map is a dubious translation:
@@ -206,9 +199,7 @@ theorem map_refl : s.map (Embedding.refl _) = s :=
 #print Finset.map_cast_heq /-
 @[simp]
 theorem map_cast_heq {α β} (h : α = β) (s : Finset α) : HEq (s.map (Equiv.cast h).toEmbedding) s :=
-  by
-  subst h
-  simp
+  by subst h; simp
 #align finset.map_cast_heq Finset.map_cast_heq
 -/
 
@@ -577,11 +568,8 @@ theorem forall_image {p : β → Prop} : (∀ b ∈ s.image f, p b) ↔ ∀ a 
 
 #print Finset.mem_image_const /-
 @[simp]
-theorem mem_image_const : c ∈ s.image (const α b) ↔ s.Nonempty ∧ b = c :=
-  by
-  rw [mem_image]
-  simp only [exists_prop, const_apply, exists_and_right]
-  rfl
+theorem mem_image_const : c ∈ s.image (const α b) ↔ s.Nonempty ∧ b = c := by rw [mem_image];
+  simp only [exists_prop, const_apply, exists_and_right]; rfl
 #align finset.mem_image_const Finset.mem_image_const
 -/
 
@@ -607,11 +595,8 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] {f : α -> β} {g : α -> β} {s : Finset.{u2} α}, (Set.EqOn.{u2, u1} α β f g (Finset.toSet.{u2} α s)) -> (Eq.{succ u1} (Finset.{u1} β) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f s) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) g s))
 Case conversion may be inaccurate. Consider using '#align finset.image_congr Finset.image_congrₓ'. -/
-theorem image_congr (h : (s : Set α).EqOn f g) : Finset.image f s = Finset.image g s :=
-  by
-  ext
-  simp_rw [mem_image]
-  exact bex_congr fun x hx => by rw [h hx]
+theorem image_congr (h : (s : Set α).EqOn f g) : Finset.image f s = Finset.image g s := by ext;
+  simp_rw [mem_image]; exact bex_congr fun x hx => by rw [h hx]
 #align finset.image_congr Finset.image_congr
 
 /- warning: function.injective.mem_finset_image -> Function.Injective.mem_finset_image is a dubious translation:
@@ -636,11 +621,9 @@ Case conversion may be inaccurate. Consider using '#align finset.filter_mem_imag
 theorem filter_mem_image_eq_image (f : α → β) (s : Finset α) (t : Finset β) (h : ∀ x ∈ s, f x ∈ t) :
     (t.filterₓ fun y => y ∈ s.image f) = s.image f :=
   by
-  ext
-  rw [mem_filter, mem_image]
+  ext; rw [mem_filter, mem_image]
   simp only [and_imp, exists_prop, and_iff_right_iff_imp, exists_imp]
-  rintro x xel rfl
-  exact h _ xel
+  rintro x xel rfl; exact h _ xel
 #align finset.filter_mem_image_eq_image Finset.filter_mem_image_eq_image
 
 /- warning: finset.fiber_nonempty_iff_mem_image -> Finset.fiber_nonempty_iff_mem_image is a dubious translation:
@@ -781,10 +764,7 @@ but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] {f : α -> β} {s : Finset.{u2} α} {t : Finset.{u2} α}, (Function.Injective.{succ u2, succ u1} α β f) -> (Iff (HasSubset.Subset.{u1} (Finset.{u1} β) (Finset.instHasSubsetFinset.{u1} β) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f s) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f t)) (HasSubset.Subset.{u2} (Finset.{u2} α) (Finset.instHasSubsetFinset.{u2} α) s t))
 Case conversion may be inaccurate. Consider using '#align finset.image_subset_image_iff Finset.image_subset_image_iffₓ'. -/
 theorem image_subset_image_iff {t : Finset α} (hf : Injective f) : s.image f ⊆ t.image f ↔ s ⊆ t :=
-  by
-  simp_rw [← coe_subset]
-  push_cast
-  exact Set.image_subset_image_iff hf
+  by simp_rw [← coe_subset]; push_cast ; exact Set.image_subset_image_iff hf
 #align finset.image_subset_image_iff Finset.image_subset_image_iff
 
 #print Finset.coe_image_subset_range /-
@@ -838,8 +818,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align finset.image_inter_of_inj_on Finset.image_inter_of_injOnₓ'. -/
 theorem image_inter_of_injOn [DecidableEq α] {f : α → β} (s t : Finset α)
     (hf : Set.InjOn f (s ∪ t)) : (s ∩ t).image f = s.image f ∩ t.image f :=
-  coe_injective <| by
-    push_cast
+  coe_injective <| by push_cast ;
     exact Set.image_inter_on fun a ha b hb => hf (Or.inr ha) <| Or.inl hb
 #align finset.image_inter_of_inj_on Finset.image_inter_of_injOn
 
@@ -919,9 +898,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align finset.image_sdiff Finset.image_sdiffₓ'. -/
 theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s \ t).image f = s.image f \ t.image f :=
-  coe_injective <| by
-    push_cast
-    exact Set.image_diff hf _ _
+  coe_injective <| by push_cast ; exact Set.image_diff hf _ _
 #align finset.image_sdiff Finset.image_sdiff
 
 /- warning: finset.image_symm_diff -> Finset.image_symmDiff is a dubious translation:
@@ -932,9 +909,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align finset.image_symm_diff Finset.image_symmDiffₓ'. -/
 theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s ∆ t).image f = s.image f ∆ t.image f :=
-  coe_injective <| by
-    push_cast
-    exact Set.image_symm_diff hf _ _
+  coe_injective <| by push_cast ; exact Set.image_symm_diff hf _ _
 #align finset.image_symm_diff Finset.image_symmDiff
 
 /- warning: disjoint.of_image_finset -> Disjoint.of_image_finset is a dubious translation:
@@ -988,10 +963,8 @@ lean 3 declaration is
 but is expected to have type
   forall (a : Nat) (b : Nat), Eq.{1} (Finset.{0} Nat) (Finset.range (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) a b)) (Union.union.{0} (Finset.{0} Nat) (Finset.instUnionFinset.{0} Nat (fun (a : Nat) (b : Nat) => instDecidableEqNat a b)) (Finset.range a) (Finset.map.{0, 0} Nat Nat (addLeftEmbedding.{0} Nat (AddLeftCancelMonoid.toAddLeftCancelSemigroup.{0} Nat (AddCancelCommMonoid.toAddLeftCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))) a) (Finset.range b)))
 Case conversion may be inaccurate. Consider using '#align finset.range_add Finset.range_addₓ'. -/
-theorem range_add (a b : ℕ) : range (a + b) = range a ∪ (range b).map (addLeftEmbedding a) :=
-  by
-  rw [← val_inj, union_val]
-  exact Multiset.range_add_eq_union a b
+theorem range_add (a b : ℕ) : range (a + b) = range a ∪ (range b).map (addLeftEmbedding a) := by
+  rw [← val_inj, union_val]; exact Multiset.range_add_eq_union a b
 #align finset.range_add Finset.range_add
 
 #print Finset.attach_image_val /-
@@ -1070,9 +1043,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align finset.map_erase Finset.map_eraseₓ'. -/
 @[simp]
 theorem map_erase [DecidableEq α] (f : α ↪ β) (s : Finset α) (a : α) :
-    (s.eraseₓ a).map f = (s.map f).eraseₓ (f a) :=
-  by
-  simp_rw [map_eq_image]
+    (s.eraseₓ a).map f = (s.map f).eraseₓ (f a) := by simp_rw [map_eq_image];
   exact s.image_erase f.2 a
 #align finset.map_erase Finset.map_erase
 
@@ -1251,9 +1222,7 @@ theorem subset_image_iff [DecidableEq β] {s : Set α} {t : Finset β} {f : α 
     ↑t ⊆ f '' s ↔ ∃ s' : Finset α, ↑s' ⊆ s ∧ s'.image f = t :=
   by
   constructor; swap
-  · rintro ⟨t, ht, rfl⟩
-    rw [coe_image]
-    exact Set.image_subset f ht
+  · rintro ⟨t, ht, rfl⟩; rw [coe_image]; exact Set.image_subset f ht
   intro h
   letI : CanLift β s (f ∘ coe) fun y => y ∈ f '' s := ⟨fun y ⟨x, hxt, hy⟩ => ⟨⟨x, hxt⟩, hy⟩⟩
   lift t to Finset s using h
@@ -1316,10 +1285,7 @@ theorem finsetCongr_apply (e : α ≃ β) (s : Finset α) : e.finsetCongr s = s.
 
 #print Equiv.finsetCongr_refl /-
 @[simp]
-theorem finsetCongr_refl : (Equiv.refl α).finsetCongr = Equiv.refl _ :=
-  by
-  ext
-  simp
+theorem finsetCongr_refl : (Equiv.refl α).finsetCongr = Equiv.refl _ := by ext; simp
 #align equiv.finset_congr_refl Equiv.finsetCongr_refl
 -/
 
@@ -1342,9 +1308,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align equiv.finset_congr_trans Equiv.finsetCongr_transₓ'. -/
 @[simp]
 theorem finsetCongr_trans (e : α ≃ β) (e' : β ≃ γ) :
-    e.finsetCongr.trans e'.finsetCongr = (e.trans e').finsetCongr :=
-  by
-  ext
+    e.finsetCongr.trans e'.finsetCongr = (e.trans e').finsetCongr := by ext;
   simp [-Finset.mem_map, -Equiv.trans_toEmbedding]
 #align equiv.finset_congr_trans Equiv.finsetCongr_trans
 
Diff
@@ -409,10 +409,7 @@ theorem map_insert [DecidableEq α] [DecidableEq β] (f : α ↪ β) (a : α) (s
 #align finset.map_insert Finset.map_insert
 
 /- warning: finset.map_cons -> Finset.map_cons is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.map_cons Finset.map_consₓ'. -/
 @[simp]
 theorem map_cons (f : α ↪ β) (a : α) (s : Finset α) (ha : a ∉ s) :
@@ -490,10 +487,7 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 #align finset.map_disj_Union Finset.map_disjiUnion
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -97,7 +97,7 @@ theorem mem_map {b : β} : b ∈ s.map f ↔ ∃ a ∈ s, f a = b :=
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {s : Finset.{u1} α} {f : Equiv.{succ u1, succ u2} α β} {b : β}, Iff (Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) b (Finset.map.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β f) s)) (Membership.Mem.{u1, u1} α (Finset.{u1} α) (Finset.hasMem.{u1} α) (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} β α) (fun (_x : Equiv.{succ u2, succ u1} β α) => β -> α) (Equiv.hasCoeToFun.{succ u2, succ u1} β α) (Equiv.symm.{succ u1, succ u2} α β f) b) s)
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} {s : Finset.{u2} α} {f : Equiv.{succ u2, succ u1} α β} {b : β}, Iff (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) b (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) s)) (Membership.mem.{u2, u2} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : β) => α) b) (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (_x : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : β) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f) b) s)
+  forall {α : Type.{u2}} {β : Type.{u1}} {s : Finset.{u2} α} {f : Equiv.{succ u2, succ u1} α β} {b : β}, Iff (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) b (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) s)) (Membership.mem.{u2, u2} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : β) => α) b) (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (_x : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : β) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f) b) s)
 Case conversion may be inaccurate. Consider using '#align finset.mem_map_equiv Finset.mem_map_equivₓ'. -/
 @[simp]
 theorem mem_map_equiv {f : α ≃ β} {b : β} : b ∈ s.map f.toEmbedding ↔ f.symm b ∈ s :=
@@ -300,7 +300,7 @@ theorem map_injective (f : α ↪ β) : Injective (map f) :=
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {f : Function.Embedding.{succ u1, succ u2} α β} {s : Finset.{u1} α}, Eq.{succ u2} (Finset.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toHasLe.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toHasLe.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (fun (_x : RelEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (LE.le.{u1} (Finset.{u1} α) (Preorder.toHasLe.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α)))) (LE.le.{u2} (Finset.{u2} β) (Preorder.toHasLe.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))))) => (Finset.{u1} α) -> (Finset.{u2} β)) (RelEmbedding.hasCoeToFun.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (LE.le.{u1} (Finset.{u1} α) (Preorder.toHasLe.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α)))) (LE.le.{u2} (Finset.{u2} β) (Preorder.toHasLe.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))))) (Finset.mapEmbedding.{u1, u2} α β f) s) (Finset.map.{u1, u2} α β f s)
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} {f : Function.Embedding.{succ u1, succ u2} α β} {s : Finset.{u1} α}, Eq.{succ u2} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Finset.{u1} α) => Finset.{u2} β) s) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.{u1} α) (fun (_x : Finset.{u1} α) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Finset.{u1} α) => Finset.{u2} β) _x) (RelHomClass.toFunLike.{max u1 u2, u1, u2} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.{u1} α) (Finset.{u2} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Finset.{u1} α) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u1} α) => LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Finset.{u2} β) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u2} β) => LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Finset.{u1} α) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u1} α) => LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Finset.{u2} β) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u2} β) => LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Finset.mapEmbedding.{u1, u2} α β f) s) (Finset.map.{u1, u2} α β f s)
+  forall {α : Type.{u1}} {β : Type.{u2}} {f : Function.Embedding.{succ u1, succ u2} α β} {s : Finset.{u1} α}, Eq.{succ u2} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Finset.{u1} α) => Finset.{u2} β) s) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.{u1} α) (fun (_x : Finset.{u1} α) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Finset.{u1} α) => Finset.{u2} β) _x) (RelHomClass.toFunLike.{max u1 u2, u1, u2} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.{u1} α) (Finset.{u2} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u1} α) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Finset.{u1} α) => LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u2} β) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Finset.{u2} β) => LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u1} α) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Finset.{u1} α) => LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u2} β) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Finset.{u2} β) => LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))) (Finset.mapEmbedding.{u1, u2} α β f) s) (Finset.map.{u1, u2} α β f s)
 Case conversion may be inaccurate. Consider using '#align finset.map_embedding_apply Finset.mapEmbedding_applyₓ'. -/
 @[simp]
 theorem mapEmbedding_apply : mapEmbedding f s = map f s :=
@@ -318,7 +318,7 @@ theorem filter_map {p : β → Prop} [DecidablePred p] :
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {s : Finset.{u1} α} {f : Equiv.{succ u1, succ u2} α β} {p : α -> Prop} [_inst_1 : DecidablePred.{succ u1} α p], Eq.{succ u2} (Finset.{u2} β) (Finset.map.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β f) (Finset.filter.{u1} α p (fun (a : α) => _inst_1 a) s)) (Finset.filter.{u2} β (Function.comp.{succ u2, succ u1, 1} β α Prop p (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} β α) (fun (_x : Equiv.{succ u2, succ u1} β α) => β -> α) (Equiv.hasCoeToFun.{succ u2, succ u1} β α) (Equiv.symm.{succ u1, succ u2} α β f))) (fun (a : β) => _inst_1 (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} β α) (fun (_x : Equiv.{succ u2, succ u1} β α) => β -> α) (Equiv.hasCoeToFun.{succ u2, succ u1} β α) (Equiv.symm.{succ u1, succ u2} α β f) a)) (Finset.map.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β f) s))
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} {s : Finset.{u2} α} {f : Equiv.{succ u2, succ u1} α β} {p : α -> Prop} [_inst_1 : DecidablePred.{succ u2} α p], Eq.{succ u1} (Finset.{u1} β) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) (Finset.filter.{u2} α p (fun (a : α) => _inst_1 a) s)) (Finset.filter.{u1} β (Function.comp.{succ u1, succ u2, 1} β α Prop p (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (_x : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : β) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f))) (fun (a : β) => instDecidablePredCompProp.{succ u1, succ u2} β α p (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (a : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : β) => α) a) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f)) (fun (a : α) => _inst_1 a) a) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) s))
+  forall {α : Type.{u2}} {β : Type.{u1}} {s : Finset.{u2} α} {f : Equiv.{succ u2, succ u1} α β} {p : α -> Prop} [_inst_1 : DecidablePred.{succ u2} α p], Eq.{succ u1} (Finset.{u1} β) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) (Finset.filter.{u2} α p (fun (a : α) => _inst_1 a) s)) (Finset.filter.{u1} β (Function.comp.{succ u1, succ u2, 1} β α Prop p (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (_x : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : β) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f))) (fun (a : β) => instDecidablePredCompProp.{succ u1, succ u2} β α p (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (a : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : β) => α) a) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f)) (fun (a : α) => _inst_1 a) a) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) s))
 Case conversion may be inaccurate. Consider using '#align finset.map_filter Finset.map_filterₓ'. -/
 theorem map_filter {f : α ≃ β} {p : α → Prop} [DecidablePred p] :
     (s.filterₓ p).map f.toEmbedding = (s.map f.toEmbedding).filterₓ (p ∘ f.symm) := by
@@ -1313,7 +1313,7 @@ protected def finsetCongr (e : α ≃ β) : Finset α ≃ Finset β
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (e : Equiv.{succ u1, succ u2} α β) (s : Finset.{u1} α), Eq.{succ u2} (Finset.{u2} β) (coeFn.{max 1 (max (succ u1) (succ u2)) (succ u2) (succ u1), max (succ u1) (succ u2)} (Equiv.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) (fun (_x : Equiv.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) => (Finset.{u1} α) -> (Finset.{u2} β)) (Equiv.hasCoeToFun.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) (Equiv.finsetCongr.{u1, u2} α β e) s) (Finset.map.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β e) s)
 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align equiv.finset_congr_apply Equiv.finsetCongr_applyₓ'. -/
 @[simp]
 theorem finsetCongr_apply (e : α ≃ β) (s : Finset α) : e.finsetCongr s = s.map e.toEmbedding :=
@@ -1358,7 +1358,7 @@ theorem finsetCongr_trans (e : α ≃ β) (e' : β ≃ γ) :
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (e : Equiv.{succ u1, succ u2} α β), Eq.{max 1 (succ u1) (succ u2)} (Function.Embedding.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) (Equiv.toEmbedding.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β) (Equiv.finsetCongr.{u1, u2} α β e)) (RelEmbedding.toEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (LE.le.{u1} (Finset.{u1} α) (Preorder.toHasLe.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α)))) (LE.le.{u2} (Finset.{u2} β) (Preorder.toHasLe.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.mapEmbedding.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β e)))
 but is expected to have type
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+  forall {α : Type.{u2}} {β : Type.{u1}} (e : Equiv.{succ u2, succ u1} α β), Eq.{max (succ u2) (succ u1)} (Function.Embedding.{succ u2, succ u1} (Finset.{u2} α) (Finset.{u1} β)) (Equiv.toEmbedding.{succ u2, succ u1} (Finset.{u2} α) (Finset.{u1} β) (Equiv.finsetCongr.{u2, u1} α β e)) (RelEmbedding.toEmbedding.{u2, u1} (Finset.{u2} α) (Finset.{u1} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u2} α) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Finset.{u2} α) => LE.le.{u2} (Finset.{u2} α) (Preorder.toLE.{u2} (Finset.{u2} α) (PartialOrder.toPreorder.{u2} (Finset.{u2} α) (Finset.partialOrder.{u2} α))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u1} β) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Finset.{u1} β) => LE.le.{u1} (Finset.{u1} β) (Preorder.toLE.{u1} (Finset.{u1} β) (PartialOrder.toPreorder.{u1} (Finset.{u1} β) (Finset.partialOrder.{u1} β))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699) (Finset.mapEmbedding.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β e)))
 Case conversion may be inaccurate. Consider using '#align equiv.finset_congr_to_embedding Equiv.finsetCongr_toEmbeddingₓ'. -/
 theorem finsetCongr_toEmbedding (e : α ≃ β) :
     e.finsetCongr.toEmbedding = (Finset.mapEmbedding e.toEmbedding).toEmbedding :=
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -491,9 +491,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -263,13 +263,17 @@ theorem map_subset_map {s₁ s₂ : Finset α} : s₁.map f ⊆ s₂.map f ↔ s
     simp [subset_def, map_subset_map h]⟩
 #align finset.map_subset_map Finset.map_subset_map
 
-#print Finset.mapEmbedding /-
+/- warning: finset.map_embedding -> Finset.mapEmbedding is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}}, (Function.Embedding.{succ u1, succ u2} α β) -> (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toHasLe.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toHasLe.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}}, (Function.Embedding.{succ u1, succ u2} α β) -> (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))))
+Case conversion may be inaccurate. Consider using '#align finset.map_embedding Finset.mapEmbeddingₓ'. -/
 /-- Associate to an embedding `f` from `α` to `β` the order embedding that maps a finset to its
 image under `f`. -/
 def mapEmbedding (f : α ↪ β) : Finset α ↪o Finset β :=
   OrderEmbedding.ofMapLEIff (map f) fun _ _ => map_subset_map
 #align finset.map_embedding Finset.mapEmbedding
--/
 
 /- warning: finset.map_inj -> Finset.map_inj is a dubious translation:
 lean 3 declaration is
@@ -294,7 +298,7 @@ theorem map_injective (f : α ↪ β) : Injective (map f) :=
 
 /- warning: finset.map_embedding_apply -> Finset.mapEmbedding_apply is a dubious translation:
 lean 3 declaration is
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+  forall {α : Type.{u1}} {β : Type.{u2}} {f : Function.Embedding.{succ u1, succ u2} α β} {s : Finset.{u1} α}, Eq.{succ u2} (Finset.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toHasLe.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toHasLe.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (fun (_x : RelEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (LE.le.{u1} (Finset.{u1} α) (Preorder.toHasLe.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α)))) (LE.le.{u2} (Finset.{u2} β) (Preorder.toHasLe.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))))) => (Finset.{u1} α) -> (Finset.{u2} β)) (RelEmbedding.hasCoeToFun.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (LE.le.{u1} (Finset.{u1} α) (Preorder.toHasLe.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α)))) (LE.le.{u2} (Finset.{u2} β) (Preorder.toHasLe.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))))) (Finset.mapEmbedding.{u1, u2} α β f) s) (Finset.map.{u1, u2} α β f s)
 but is expected to have type
   forall {α : Type.{u1}} {β : Type.{u2}} {f : Function.Embedding.{succ u1, succ u2} α β} {s : Finset.{u1} α}, Eq.{succ u2} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Finset.{u1} α) => Finset.{u2} β) s) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.{u1} α) (fun (_x : Finset.{u1} α) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Finset.{u1} α) => Finset.{u2} β) _x) (RelHomClass.toFunLike.{max u1 u2, u1, u2} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.{u1} α) (Finset.{u2} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Finset.{u1} α) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u1} α) => LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Finset.{u2} β) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u2} β) => LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Finset.{u1} α) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u1} α) => LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Finset.{u2} β) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u2} β) => LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Finset.mapEmbedding.{u1, u2} α β f) s) (Finset.map.{u1, u2} α β f s)
 Case conversion may be inaccurate. Consider using '#align finset.map_embedding_apply Finset.mapEmbedding_applyₓ'. -/
@@ -1352,7 +1356,7 @@ theorem finsetCongr_trans (e : α ≃ β) (e' : β ≃ γ) :
 
 /- warning: equiv.finset_congr_to_embedding -> Equiv.finsetCongr_toEmbedding is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} (e : Equiv.{succ u1, succ u2} α β), Eq.{max 1 (succ u1) (succ u2)} (Function.Embedding.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) (Equiv.toEmbedding.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β) (Equiv.finsetCongr.{u1, u2} α β e)) (RelEmbedding.toEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α)))) (LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.mapEmbedding.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β e)))
+  forall {α : Type.{u1}} {β : Type.{u2}} (e : Equiv.{succ u1, succ u2} α β), Eq.{max 1 (succ u1) (succ u2)} (Function.Embedding.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) (Equiv.toEmbedding.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β) (Equiv.finsetCongr.{u1, u2} α β e)) (RelEmbedding.toEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (LE.le.{u1} (Finset.{u1} α) (Preorder.toHasLe.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α)))) (LE.le.{u2} (Finset.{u2} β) (Preorder.toHasLe.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.mapEmbedding.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β e)))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} (e : Equiv.{succ u2, succ u1} α β), Eq.{max (succ u2) (succ u1)} (Function.Embedding.{succ u2, succ u1} (Finset.{u2} α) (Finset.{u1} β)) (Equiv.toEmbedding.{succ u2, succ u1} (Finset.{u2} α) (Finset.{u1} β) (Equiv.finsetCongr.{u2, u1} α β e)) (RelEmbedding.toEmbedding.{u2, u1} (Finset.{u2} α) (Finset.{u1} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Finset.{u2} α) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u2} α) => LE.le.{u2} (Finset.{u2} α) (Preorder.toLE.{u2} (Finset.{u2} α) (PartialOrder.toPreorder.{u2} (Finset.{u2} α) (Finset.partialOrder.{u2} α))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Finset.{u1} β) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u1} β) => LE.le.{u1} (Finset.{u1} β) (Preorder.toLE.{u1} (Finset.{u1} β) (PartialOrder.toPreorder.{u1} (Finset.{u1} β) (Finset.partialOrder.{u1} β))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Finset.mapEmbedding.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β e)))
 Case conversion may be inaccurate. Consider using '#align equiv.finset_congr_to_embedding Equiv.finsetCongr_toEmbeddingₓ'. -/
Diff
@@ -487,9 +487,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} {s : Finset.{u1} α} {t : α -> (Finset.{u2} β)} {f : Function.Embedding.{succ u2, succ u3} β γ} {h : Set.PairwiseDisjoint.{u2, u1} (Finset.{u2} β) α (Finset.partialOrder.{u2} β) (Finset.orderBot.{u2} β) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Finset.{u1} α) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (Finset.Set.hasCoeT.{u1} α))) s) t}, Eq.{succ u3} (Finset.{u3} γ) (Finset.map.{u2, u3} β γ f (Finset.disjUnionₓ.{u1, u2} α β s t h)) (Finset.disjUnionₓ.{u1, u3} α γ s (fun (a : α) => Finset.map.{u2, u3} β γ f (t a)) (fun (a : α) (ha : Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) a ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Finset.{u1} α) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, 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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h
 
 /- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
 theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -472,26 +472,26 @@ theorem disjoint_range_addRightEmbedding (a b : ℕ) :
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_right_embedding Finset.disjoint_range_addRightEmbedding
 
-/- warning: finset.map_disj_Union -> Finset.map_disjUnionᵢ is a dubious translation:
+/- warning: finset.map_disj_Union -> Finset.map_disjiUnion is a dubious translation:
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} {f : Function.Embedding.{succ u1, succ u2} α β} {s : Finset.{u1} α} {t : β -> (Finset.{u3} γ)} {h : Set.PairwiseDisjoint.{u3, u2} (Finset.{u3} γ) β (Finset.partialOrder.{u3} γ) (Finset.orderBot.{u3} γ) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Finset.{u2} β) (Set.{u2} β) (HasLiftT.mk.{succ u2, succ u2} (Finset.{u2} β) (Set.{u2} β) (CoeTCₓ.coe.{succ u2, succ u2} (Finset.{u2} β) (Set.{u2} β) (Finset.Set.hasCoeT.{u2} β))) (Finset.map.{u1, u2} α β f s)) t}, Eq.{succ u3} (Finset.{u3} γ) (Finset.disjUnionₓ.{u2, u3} β γ (Finset.map.{u1, u2} α β f s) t h) (Finset.disjUnionₓ.{u1, u3} α γ s (fun (a : α) => t (coeFn.{max 1 (succ u1) (succ u2), max (succ u1) (succ u2)} (Function.Embedding.{succ u1, succ u2} α β) (fun (_x : Function.Embedding.{succ u1, succ u2} α β) => α -> β) (Function.Embedding.hasCoeToFun.{succ u1, succ u2} α β) f a)) (fun (a : α) (ha : Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) a ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Finset.{u1} α) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (Finset.Set.hasCoeT.{u1} α))) s)) (b : α) (hb : Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) b ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Finset.{u1} α) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (Finset.Set.hasCoeT.{u1} α))) s)) (hab : Ne.{succ u1} α a b) => h (coeFn.{max 1 (succ u1) (succ u2), max (succ u1) (succ u2)} (Function.Embedding.{succ u1, succ u2} α β) (fun (_x : Function.Embedding.{succ u1, succ u2} α β) => α -> β) (Function.Embedding.hasCoeToFun.{succ u1, succ u2} α β) f a) (Finset.mem_map_of_mem.{u1, u2} α β f a s ha) (coeFn.{max 1 (succ u1) (succ u2), max (succ u1) (succ u2)} (Function.Embedding.{succ u1, succ u2} α β) (fun (_x : Function.Embedding.{succ u1, succ u2} α β) => α -> β) (Function.Embedding.hasCoeToFun.{succ u1, succ u2} α β) f b) (Finset.mem_map_of_mem.{u1, u2} α β f b s hb) (Function.Injective.ne.{succ u1, succ u2} α β (coeFn.{max 1 (succ u1) (succ u2), max (succ u1) (succ u2)} (Function.Embedding.{succ u1, succ u2} α β) (fun (_x : Function.Embedding.{succ u1, succ u2} α β) => α -> β) (Function.Embedding.hasCoeToFun.{succ u1, succ u2} α β) f) (Function.Embedding.injective.{succ u1, succ u2} α β f) a b hab)))
 but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align finset.map_disj_Union Finset.map_disjUnionᵢₓ'. -/
-theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h} :
+  forall {α : Type.{u3}} {β : Type.{u2}} {γ : Type.{u1}} {f : Function.Embedding.{succ u3, succ u2} α β} {s : Finset.{u3} α} {t : β -> (Finset.{u1} γ)} {h : Set.PairwiseDisjoint.{u1, u2} (Finset.{u1} γ) β (Finset.partialOrder.{u1} γ) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u1} γ) (Finset.toSet.{u2} β (Finset.map.{u3, u2} α β f s)) t}, Eq.{succ u1} (Finset.{u1} γ) (Finset.disjiUnion.{u2, u1} β γ (Finset.map.{u3, u2} α β f s) t h) (Finset.disjiUnion.{u3, u1} α γ s (fun (a : α) => t (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (Function.Embedding.{succ u3, succ u2} α β) α (fun (_x : α) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u2} (Function.Embedding.{succ u3, succ u2} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u3, succ u2} α β)) f a)) (fun (a : α) (ha : Membership.mem.{u3, u3} α (Set.{u3} α) (Set.instMembershipSet.{u3} α) a (Finset.toSet.{u3} α s)) (b : α) (hb : Membership.mem.{u3, u3} α (Set.{u3} α) (Set.instMembershipSet.{u3} α) b (Finset.toSet.{u3} α s)) (hab : Ne.{succ u3} α a b) => h (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (Function.Embedding.{succ u3, succ u2} α β) α (fun (_x : α) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u2} (Function.Embedding.{succ u3, succ u2} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u3, succ u2} α β)) f a) (Finset.mem_map_of_mem.{u2, u3} α β f a s ha) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (Function.Embedding.{succ u3, succ u2} α β) α (fun (_x : α) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) _x) (EmbeddingLike.toFunLike.{max (succ u3) (succ u2), succ u3, succ u2} (Function.Embedding.{succ u3, succ u2} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u3, succ u2} α β)) f b) (Finset.mem_map_of_mem.{u2, u3} α β f b s hb) (Function.Injective.ne.{succ u2, succ u3} α β (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (Function.Embedding.{succ u3, succ u2} α β) α (fun (_x : α) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u3), succ u3, succ u2} (Function.Embedding.{succ u3, succ u2} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u3, succ u2} α β)) f) (Function.Embedding.injective.{succ u2, succ u3} α β f) a b hab)))
+Case conversion may be inaccurate. Consider using '#align finset.map_disj_Union Finset.map_disjiUnionₓ'. -/
+theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h} :
     (s.map f).disjUnionₓ t h =
       s.disjUnionₓ (fun a => t (f a)) fun a ha b hb hab =>
         h (mem_map_of_mem _ ha) (mem_map_of_mem _ hb) (f.Injective.Ne hab) :=
   eq_of_veq <| Multiset.bind_map _ _ _
-#align finset.map_disj_Union Finset.map_disjUnionᵢ
+#align finset.map_disj_Union Finset.map_disjiUnion
 
-/- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
+/- warning: finset.disj_Union_map -> Finset.disjiUnion_map is a dubious translation:
 lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
-theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
+  forall {α : Type.{u3}} {β : Type.{u2}} {γ : Type.{u1}} {s : Finset.{u3} α} {t : α -> (Finset.{u2} β)} {f : Function.Embedding.{succ u2, succ u1} β γ} {h : Set.PairwiseDisjoint.{u2, u3} (Finset.{u2} β) α (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (Finset.toSet.{u3} α s) t}, Eq.{succ u1} (Finset.{u1} γ) (Finset.map.{u2, u1} β γ f (Finset.disjiUnion.{u3, u2} α β s t h)) (Finset.disjiUnion.{u3, u1} α γ s (fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) (fun (a : α) (ha : Membership.mem.{u3, u3} α (Set.{u3} α) (Set.instMembershipSet.{u3} α) a (Finset.toSet.{u3} α s)) (b : α) (hb : Membership.mem.{u3, u3} α (Set.{u3} α) (Set.instMembershipSet.{u3} α) b (Finset.toSet.{u3} α s)) (hab : Ne.{succ u3} α a b) => Iff.mpr (Disjoint.{u1} (Finset.{u1} γ) (Finset.partialOrder.{u1} γ) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u1} γ) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) (forall {{a_1 : γ}}, (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) a_1 ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Not (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) a_1 ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)))) (Finset.disjoint_left.{u1} γ ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) (fun (x : γ) (hxa : Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) x ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) (hxb : Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) x ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) => Exists.casesOn.{succ u2} β (fun (a_1 : β) => And (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a_1) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f a_1) x)) (fun (_fresh.632.129762 : Exists.{succ u2} β (fun (a_1 : β) => And (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a_1) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f a_1) x))) => False) (Iff.mp (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) x (Finset.map.{u2, u1} β γ f (t a))) (Exists.{succ u2} β (fun (a_1 : β) => And (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a_1) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f a_1) x))) (Finset.mem_map.{u2, u1} β γ f (t a) x) hxa) (fun (xa : β) (h_1 : And (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xa (t a)) (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xa) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ 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(x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xa) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) x)) => False) h_1 (fun (hfa : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xa (t a)) (h_1_h : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xa) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) x) => Eq.ndrec.{0, succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xa) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) (fun (x : γ) => (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) x ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) x ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> False) (fun (hxa : Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) (hxb : Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) => Exists.casesOn.{succ u2} β (fun (a : β) => And (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a (t b)) (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) (fun (_fresh.632.129848 : Exists.{succ u2} β (fun (a : β) => And (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a (t b)) (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa)))) => False) (Iff.mp (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa)) -> False) (fun (hfa : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t a)) (hxa : Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) (hxb : Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
+Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjiUnion_mapₓ'. -/
+theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
       s.disjUnionₓ (fun a => (t a).map f) fun a ha b hb hab =>
         disjoint_left.mpr fun x hxa hxb =>
@@ -501,7 +501,7 @@ theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ}
           obtain rfl := f.injective hfab
           exact disjoint_left.mp (h ha hb hab) hfa hfb :=
   eq_of_veq <| Multiset.map_bind _ _ _
-#align finset.disj_Union_map Finset.disjUnionᵢ_map
+#align finset.disj_Union_map Finset.disjiUnion_map
 
 end Map
 
@@ -1078,45 +1078,45 @@ theorem map_erase [DecidableEq α] (f : α ↪ β) (s : Finset α) (a : α) :
   exact s.image_erase f.2 a
 #align finset.map_erase Finset.map_erase
 
-/- warning: finset.image_bUnion -> Finset.image_bunionᵢ is a dubious translation:
+/- warning: finset.image_bUnion -> Finset.image_biUnion is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} β] [_inst_2 : DecidableEq.{succ u3} γ] {f : α -> β} {s : Finset.{u1} α} {t : β -> (Finset.{u3} γ)}, Eq.{succ u3} (Finset.{u3} γ) (Finset.bunionᵢ.{u2, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) (Finset.image.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f s) t) (Finset.bunionᵢ.{u1, u3} α γ (fun (a : γ) (b : γ) => _inst_2 a b) s (fun (a : α) => t (f a)))
+  forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} β] [_inst_2 : DecidableEq.{succ u3} γ] {f : α -> β} {s : Finset.{u1} α} {t : β -> (Finset.{u3} γ)}, Eq.{succ u3} (Finset.{u3} γ) (Finset.biUnion.{u2, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) (Finset.image.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f s) t) (Finset.biUnion.{u1, u3} α γ (fun (a : γ) (b : γ) => _inst_2 a b) s (fun (a : α) => t (f a)))
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} {γ : Type.{u3}} [_inst_1 : DecidableEq.{succ u1} β] [_inst_2 : DecidableEq.{succ u3} γ] {f : α -> β} {s : Finset.{u2} α} {t : β -> (Finset.{u3} γ)}, Eq.{succ u3} (Finset.{u3} γ) (Finset.bunionᵢ.{u1, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f s) t) (Finset.bunionᵢ.{u2, u3} α γ (fun (a : γ) (b : γ) => _inst_2 a b) s (fun (a : α) => t (f a)))
-Case conversion may be inaccurate. Consider using '#align finset.image_bUnion Finset.image_bunionᵢₓ'. -/
-theorem image_bunionᵢ [DecidableEq γ] {f : α → β} {s : Finset α} {t : β → Finset γ} :
-    (s.image f).bunionᵢ t = s.bunionᵢ fun a => t (f a) :=
+  forall {α : Type.{u2}} {β : Type.{u1}} {γ : Type.{u3}} [_inst_1 : DecidableEq.{succ u1} β] [_inst_2 : DecidableEq.{succ u3} γ] {f : α -> β} {s : Finset.{u2} α} {t : β -> (Finset.{u3} γ)}, Eq.{succ u3} (Finset.{u3} γ) (Finset.biUnion.{u1, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f s) t) (Finset.biUnion.{u2, u3} α γ (fun (a : γ) (b : γ) => _inst_2 a b) s (fun (a : α) => t (f a)))
+Case conversion may be inaccurate. Consider using '#align finset.image_bUnion Finset.image_biUnionₓ'. -/
+theorem image_biUnion [DecidableEq γ] {f : α → β} {s : Finset α} {t : β → Finset γ} :
+    (s.image f).biUnion t = s.biUnion fun a => t (f a) :=
   haveI := Classical.decEq α
   Finset.induction_on s rfl fun a s has ih => by simp only [image_insert, bUnion_insert, ih]
-#align finset.image_bUnion Finset.image_bunionᵢ
+#align finset.image_bUnion Finset.image_biUnion
 
-/- warning: finset.bUnion_image -> Finset.bunionᵢ_image is a dubious translation:
+/- warning: finset.bUnion_image -> Finset.biUnion_image is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} β] [_inst_2 : DecidableEq.{succ u3} γ] {s : Finset.{u1} α} {t : α -> (Finset.{u2} β)} {f : β -> γ}, Eq.{succ u3} (Finset.{u3} γ) (Finset.image.{u2, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) f (Finset.bunionᵢ.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) s t)) (Finset.bunionᵢ.{u1, u3} α γ (fun (a : γ) (b : γ) => _inst_2 a b) s (fun (a : α) => Finset.image.{u2, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) f (t a)))
+  forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} [_inst_1 : DecidableEq.{succ u2} β] [_inst_2 : DecidableEq.{succ u3} γ] {s : Finset.{u1} α} {t : α -> (Finset.{u2} β)} {f : β -> γ}, Eq.{succ u3} (Finset.{u3} γ) (Finset.image.{u2, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) f (Finset.biUnion.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) s t)) (Finset.biUnion.{u1, u3} α γ (fun (a : γ) (b : γ) => _inst_2 a b) s (fun (a : α) => Finset.image.{u2, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) f (t a)))
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} {γ : Type.{u3}} [_inst_1 : DecidableEq.{succ u1} β] [_inst_2 : DecidableEq.{succ u3} γ] {s : Finset.{u2} α} {t : α -> (Finset.{u1} β)} {f : β -> γ}, Eq.{succ u3} (Finset.{u3} γ) (Finset.image.{u1, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) f (Finset.bunionᵢ.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) s t)) (Finset.bunionᵢ.{u2, u3} α γ (fun (a : γ) (b : γ) => _inst_2 a b) s (fun (a : α) => Finset.image.{u1, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) f (t a)))
-Case conversion may be inaccurate. Consider using '#align finset.bUnion_image Finset.bunionᵢ_imageₓ'. -/
-theorem bunionᵢ_image [DecidableEq γ] {s : Finset α} {t : α → Finset β} {f : β → γ} :
-    (s.bunionᵢ t).image f = s.bunionᵢ fun a => (t a).image f :=
+  forall {α : Type.{u2}} {β : Type.{u1}} {γ : Type.{u3}} [_inst_1 : DecidableEq.{succ u1} β] [_inst_2 : DecidableEq.{succ u3} γ] {s : Finset.{u2} α} {t : α -> (Finset.{u1} β)} {f : β -> γ}, Eq.{succ u3} (Finset.{u3} γ) (Finset.image.{u1, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) f (Finset.biUnion.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) s t)) (Finset.biUnion.{u2, u3} α γ (fun (a : γ) (b : γ) => _inst_2 a b) s (fun (a : α) => Finset.image.{u1, u3} β γ (fun (a : γ) (b : γ) => _inst_2 a b) f (t a)))
+Case conversion may be inaccurate. Consider using '#align finset.bUnion_image Finset.biUnion_imageₓ'. -/
+theorem biUnion_image [DecidableEq γ] {s : Finset α} {t : α → Finset β} {f : β → γ} :
+    (s.biUnion t).image f = s.biUnion fun a => (t a).image f :=
   haveI := Classical.decEq α
   Finset.induction_on s rfl fun a s has ih => by simp only [bUnion_insert, image_union, ih]
-#align finset.bUnion_image Finset.bunionᵢ_image
+#align finset.bUnion_image Finset.biUnion_image
 
-/- warning: finset.image_bUnion_filter_eq -> Finset.image_bunionᵢ_filter_eq is a dubious translation:
+/- warning: finset.image_bUnion_filter_eq -> Finset.image_biUnion_filter_eq is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] [_inst_2 : DecidableEq.{succ u1} α] (s : Finset.{u2} β) (g : β -> α), Eq.{succ u2} (Finset.{u2} β) (Finset.bunionᵢ.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) (Finset.image.{u2, u1} β α (fun (a : α) (b : α) => _inst_2 a b) g s) (fun (a : α) => Finset.filter.{u2} β (fun (c : β) => Eq.{succ u1} α (g c) a) (fun (a_1 : β) => _inst_2 (g a_1) a) s)) s
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] [_inst_2 : DecidableEq.{succ u1} α] (s : Finset.{u2} β) (g : β -> α), Eq.{succ u2} (Finset.{u2} β) (Finset.biUnion.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) (Finset.image.{u2, u1} β α (fun (a : α) (b : α) => _inst_2 a b) g s) (fun (a : α) => Finset.filter.{u2} β (fun (c : β) => Eq.{succ u1} α (g c) a) (fun (a_1 : β) => _inst_2 (g a_1) a) s)) s
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] [_inst_2 : DecidableEq.{succ u2} α] (s : Finset.{u1} β) (g : β -> α), Eq.{succ u1} (Finset.{u1} β) (Finset.bunionᵢ.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) (Finset.image.{u1, u2} β α (fun (a : α) (b : α) => _inst_2 a b) g s) (fun (a : α) => Finset.filter.{u1} β (fun (c : β) => Eq.{succ u2} α (g c) a) (fun (a_1 : β) => _inst_2 (g a_1) a) s)) s
-Case conversion may be inaccurate. Consider using '#align finset.image_bUnion_filter_eq Finset.image_bunionᵢ_filter_eqₓ'. -/
-theorem image_bunionᵢ_filter_eq [DecidableEq α] (s : Finset β) (g : β → α) :
-    ((s.image g).bunionᵢ fun a => s.filterₓ fun c => g c = a) = s :=
-  bunionᵢ_filter_eq_of_maps_to fun x => mem_image_of_mem g
-#align finset.image_bUnion_filter_eq Finset.image_bunionᵢ_filter_eq
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] [_inst_2 : DecidableEq.{succ u2} α] (s : Finset.{u1} β) (g : β -> α), Eq.{succ u1} (Finset.{u1} β) (Finset.biUnion.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) (Finset.image.{u1, u2} β α (fun (a : α) (b : α) => _inst_2 a b) g s) (fun (a : α) => Finset.filter.{u1} β (fun (c : β) => Eq.{succ u2} α (g c) a) (fun (a_1 : β) => _inst_2 (g a_1) a) s)) s
+Case conversion may be inaccurate. Consider using '#align finset.image_bUnion_filter_eq Finset.image_biUnion_filter_eqₓ'. -/
+theorem image_biUnion_filter_eq [DecidableEq α] (s : Finset β) (g : β → α) :
+    ((s.image g).biUnion fun a => s.filterₓ fun c => g c = a) = s :=
+  biUnion_filter_eq_of_maps_to fun x => mem_image_of_mem g
+#align finset.image_bUnion_filter_eq Finset.image_biUnion_filter_eq
 
-#print Finset.bunionᵢ_singleton /-
-theorem bunionᵢ_singleton {f : α → β} : (s.bunionᵢ fun a => {f a}) = s.image f :=
+#print Finset.biUnion_singleton /-
+theorem biUnion_singleton {f : α → β} : (s.biUnion fun a => {f a}) = s.image f :=
   ext fun x => by simp only [mem_bUnion, mem_image, mem_singleton, eq_comm]
-#align finset.bUnion_singleton Finset.bunionᵢ_singleton
+#align finset.bUnion_singleton Finset.biUnion_singleton
 -/
 
 end Image
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -296,7 +296,7 @@ theorem map_injective (f : α ↪ β) : Injective (map f) :=
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {f : Function.Embedding.{succ u1, succ u2} α β} {s : Finset.{u1} α}, Eq.{succ u2} (Finset.{u2} β) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (fun (_x : RelEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α)))) (LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))))) => (Finset.{u1} α) -> (Finset.{u2} β)) (RelEmbedding.hasCoeToFun.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α)))) (LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))))) (Finset.mapEmbedding.{u1, u2} α β f) s) (Finset.map.{u1, u2} α β f s)
 but is expected to have type
-  forall {α : Type.{u1}} {β : Type.{u2}} {f : Function.Embedding.{succ u1, succ u2} α β} {s : Finset.{u1} α}, Eq.{succ u2} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Finset.{u1} α) => Finset.{u2} β) s) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Function.Embedding.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) (Finset.{u1} α) (fun (_x : Finset.{u1} α) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Finset.{u1} α) => Finset.{u2} β) _x) (EmbeddingLike.toFunLike.{max (succ u1) (succ u2), succ u1, succ u2} (Function.Embedding.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) (Finset.{u1} α) (Finset.{u2} β) (Function.instEmbeddingLikeEmbedding.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β))) (RelEmbedding.toEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Finset.{u1} α) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u1} α) => LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Finset.{u2} β) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u2} β) => LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Finset.mapEmbedding.{u1, u2} α β f)) s) (Finset.map.{u1, u2} α β f s)
+  forall {α : Type.{u1}} {β : Type.{u2}} {f : Function.Embedding.{succ u1, succ u2} α β} {s : Finset.{u1} α}, Eq.{succ u2} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Finset.{u1} α) => Finset.{u2} β) s) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.{u1} α) (fun (_x : Finset.{u1} α) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Finset.{u1} α) => Finset.{u2} β) _x) (RelHomClass.toFunLike.{max u1 u2, u1, u2} (OrderEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β)))) (Finset.{u1} α) (Finset.{u2} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Finset.{u1} α) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u1} α) => LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Finset.{u2} β) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u2} β) => LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u1, u2} (Finset.{u1} α) (Finset.{u2} β) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Finset.{u1} α) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Finset.{u1} α) => LE.le.{u1} (Finset.{u1} α) (Preorder.toLE.{u1} (Finset.{u1} α) (PartialOrder.toPreorder.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Finset.{u2} β) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Finset.{u2} β) => LE.le.{u2} (Finset.{u2} β) (Preorder.toLE.{u2} (Finset.{u2} β) (PartialOrder.toPreorder.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Finset.mapEmbedding.{u1, u2} α β f) s) (Finset.map.{u1, u2} α β f s)
 Case conversion may be inaccurate. Consider using '#align finset.map_embedding_apply Finset.mapEmbedding_applyₓ'. -/
 @[simp]
 theorem mapEmbedding_apply : mapEmbedding f s = map f s :=
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} {γ : Type.{u3}} {s : Finset.{u1} α} {t : α -> (Finset.{u2} β)} {f : Function.Embedding.{succ u2, succ u3} β γ} {h : Set.PairwiseDisjoint.{u2, u1} (Finset.{u2} β) α (Finset.partialOrder.{u2} β) (Finset.orderBot.{u2} β) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Finset.{u1} α) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (Finset.Set.hasCoeT.{u1} α))) s) t}, Eq.{succ u3} (Finset.{u3} γ) (Finset.map.{u2, u3} β γ f (Finset.disjUnionₓ.{u1, u2} α β s t h)) (Finset.disjUnionₓ.{u1, u3} α γ s (fun (a : α) => Finset.map.{u2, u3} β γ f (t a)) (fun (a : α) (ha : Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) a ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (Finset.{u1} α) (Set.{u1} α) (HasLiftT.mk.{succ u1, succ u1} (Finset.{u1} α) (Set.{u1} α) (CoeTCₓ.coe.{succ u1, 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -408,7 +408,7 @@ theorem map_insert [DecidableEq α] [DecidableEq β] (f : α ↪ β) (a : α) (s
 lean 3 declaration is
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 but is expected to have type
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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} α β) f a_1 a))))) (Std.Logic._auxLemma.39.{succ u2} α (fun (a : α) => Membership.mem.{u2, u2} α (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) a s) a)))) ha))
+  forall {α : Type.{u2}} {β : Type.{u1}} (f : Function.Embedding.{succ u2, succ u1} α β) (a : α) (s : Finset.{u2} α) (ha : Not (Membership.mem.{u2, u2} α (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) a s)), Eq.{succ u1} (Finset.{u1} β) (Finset.map.{u2, u1} α β f (Finset.cons.{u2} α a s ha)) (Finset.cons.{u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α (fun (_x : α) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} α β)) f a) (Finset.map.{u2, u1} α ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) a) f s) (Eq.mpr.{0} (Not (Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) a) (Finset.{u1} ((fun 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=> β) a)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α (fun (_x : α) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} α β)) f a) (Finset.map.{u2, u1} α ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) a) f s))) (Not (Membership.mem.{u2, u2} α (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) a s))) (congrArg.{1, 1} Prop Prop (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α (fun (a : α) => β) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} α β)) f a) (Finset.map.{u2, u1} α β f s)) (Membership.mem.{u2, u2} α (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) a s) Not (Eq.trans.{1} Prop (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α (fun (_x : α) => β) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} α β)) f a) (Finset.map.{u2, u1} α β f s)) (Exists.{succ u2} α (fun (a_1 : α) => And (Membership.mem.{u2, u2} α (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) a_1 s) (Eq.{succ u2} α a_1 a))) (Membership.mem.{u2, u2} α (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) a s) (Eq.trans.{1} Prop (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α (fun (_x : α) => β) 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(FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α (fun (a : α) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} α β)) f a_1) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α (fun (a : α) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : α) => β) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} α β)) f a)) (Eq.{succ u2} α a_1 a) (And (Membership.mem.{u2, u2} α (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) a_1 s)) (Mathlib.Data.FunLike.Embedding._auxLemma.1.{succ u2, max (succ u2) (succ u1), succ u1} (Function.Embedding.{succ u2, succ u1} α β) α β (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} α β) f a_1 a))))) (Std.Logic._auxLemma.38.{succ u2} α (fun (a : α) => Membership.mem.{u2, u2} α (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) a s) a)))) ha))
 Case conversion may be inaccurate. Consider using '#align finset.map_cons Finset.map_consₓ'. -/
 @[simp]
 theorem map_cons (f : α ↪ β) (a : α) (s : Finset α) (ha : a ∉ s) :
@@ -509,7 +509,7 @@ end Map
 lean 3 declaration is
   forall (n : Nat), Eq.{1} (Finset.{0} Nat) (Finset.range (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))) (Insert.insert.{0, 0} Nat (Finset.{0} Nat) (Finset.hasInsert.{0} Nat (fun (a : Nat) (b : Nat) => Nat.decidableEq a b)) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Finset.map.{0, 0} Nat Nat (Function.Embedding.mk.{1, 1} Nat Nat (fun (i : Nat) => HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) i (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne)))) (fun (i : Nat) (j : Nat) => Nat.succ.inj i j)) (Finset.range n)))
 but is expected to have type
-  forall (n : Nat), Eq.{1} (Finset.{0} Nat) (Finset.range (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Insert.insert.{0, 0} Nat (Finset.{0} Nat) (Finset.instInsertFinset.{0} Nat (fun (a : Nat) (b : Nat) => instDecidableEqNat a b)) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Finset.map.{0, 0} Nat Nat (Function.Embedding.mk.{1, 1} Nat Nat (fun (i : Nat) => HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (fun (i : Nat) (j : Nat) => of_eq_true ((Eq.{1} Nat (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) j (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) -> (Eq.{1} Nat i j)) (Eq.trans.{1} Prop ((Eq.{1} Nat (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) j (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) -> (Eq.{1} Nat i j)) ((Eq.{1} Nat i j) -> (Eq.{1} Nat i j)) True (implies_congr.{0, 0} (Eq.{1} Nat (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) j (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Eq.{1} Nat i j) (Eq.{1} Nat i j) (Eq.{1} Nat i j) (Mathlib.Algebra.Group.Defs._auxLemma.4.{0} Nat instAddNat (IsCancelAdd.toIsRightCancelAdd.{0} Nat instAddNat (AddCancelMonoid.toIsCancelAdd.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) i j) (Eq.refl.{1} Prop (Eq.{1} Nat i j))) (Std.Logic._auxLemma.6 (Eq.{1} Nat i j))))) (Finset.range n)))
+  forall (n : Nat), Eq.{1} (Finset.{0} Nat) (Finset.range (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Insert.insert.{0, 0} Nat (Finset.{0} Nat) (Finset.instInsertFinset.{0} Nat (fun (a : Nat) (b : Nat) => instDecidableEqNat a b)) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Finset.map.{0, 0} Nat Nat (Function.Embedding.mk.{1, 1} Nat Nat (fun (i : Nat) => HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (fun (i : Nat) (j : Nat) => of_eq_true ((Eq.{1} Nat (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) j (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) -> (Eq.{1} Nat i j)) (Eq.trans.{1} Prop ((Eq.{1} Nat (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) j (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) -> (Eq.{1} Nat i j)) ((Eq.{1} Nat i j) -> (Eq.{1} Nat i j)) True (implies_congr.{0, 0} (Eq.{1} Nat (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) i (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) j (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))) (Eq.{1} Nat i j) (Eq.{1} Nat i j) (Eq.{1} Nat i j) (Mathlib.Algebra.Group.Defs._auxLemma.4.{0} Nat instAddNat (IsCancelAdd.toIsRightCancelAdd.{0} Nat instAddNat (AddCancelMonoid.toIsCancelAdd.{0} Nat (AddCancelCommMonoid.toAddCancelMonoid.{0} Nat (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))))) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) i j) (Eq.refl.{1} Prop (Eq.{1} Nat i j))) (Std.Logic._auxLemma.5 (Eq.{1} Nat i j))))) (Finset.range n)))
 Case conversion may be inaccurate. Consider using '#align finset.range_add_one' Finset.range_add_one'ₓ'. -/
 theorem range_add_one' (n : ℕ) :
     range (n + 1) = insert 0 ((range n).map ⟨fun i => i + 1, fun i j => Nat.succ.inj⟩) := by
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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succ u1} β γ)) f xb) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) (hxb : Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -913,6 +913,12 @@ theorem image_eq_empty : s.image f = ∅ ↔ s = ∅ :=
 #align finset.image_eq_empty Finset.image_eq_empty
 -/
 
+/- warning: finset.image_sdiff -> Finset.image_sdiff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] [_inst_2 : DecidableEq.{succ u1} α] {f : α -> β} (s : Finset.{u1} α) (t : Finset.{u1} α), (Function.Injective.{succ u1, succ u2} α β f) -> (Eq.{succ u2} (Finset.{u2} β) (Finset.image.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f (SDiff.sdiff.{u1} (Finset.{u1} α) (Finset.hasSdiff.{u1} α (fun (a : α) (b : α) => _inst_2 a b)) s t)) (SDiff.sdiff.{u2} (Finset.{u2} β) (Finset.hasSdiff.{u2} β (fun (a : β) (b : β) => _inst_1 a b)) (Finset.image.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f s) (Finset.image.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f t)))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} β] [_inst_2 : DecidableEq.{succ u2} α] {f : α -> β} (s : Finset.{u2} α) (t : Finset.{u2} α), (Function.Injective.{succ u2, succ u1} α β f) -> (Eq.{succ u1} (Finset.{u1} β) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f (SDiff.sdiff.{u2} (Finset.{u2} α) (Finset.instSDiffFinset.{u2} α (fun (a : α) (b : α) => _inst_2 a b)) s t)) (SDiff.sdiff.{u1} (Finset.{u1} β) (Finset.instSDiffFinset.{u1} β (fun (a : β) (b : β) => _inst_1 a b)) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f s) (Finset.image.{u2, u1} α β (fun (a : β) (b : β) => _inst_1 a b) f t)))
+Case conversion may be inaccurate. Consider using '#align finset.image_sdiff Finset.image_sdiffₓ'. -/
 theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s \ t).image f = s.image f \ t.image f :=
   coe_injective <| by
@@ -920,6 +926,12 @@ theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Inj
     exact Set.image_diff hf _ _
 #align finset.image_sdiff Finset.image_sdiff
 
+/- warning: finset.image_symm_diff -> Finset.image_symmDiff is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align finset.image_symm_diff Finset.image_symmDiffₓ'. -/
 theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s ∆ t).image f = s.image f ∆ t.image f :=
   coe_injective <| by
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.finset.image
-! leanprover-community/mathlib commit e04043d6bf7264a3c84bc69711dc354958ca4516
+! leanprover-community/mathlib commit b685f506164f8d17a6404048bc4d696739c5d976
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
@@ -840,11 +840,9 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align finset.image_inter_of_inj_on Finset.image_inter_of_injOnₓ'. -/
 theorem image_inter_of_injOn [DecidableEq α] {f : α → β} (s t : Finset α)
     (hf : Set.InjOn f (s ∪ t)) : (s ∩ t).image f = s.image f ∩ t.image f :=
-  (image_inter_subset _ _ _).antisymm fun x =>
-    by
-    simp only [mem_inter, mem_image]
-    rintro ⟨⟨a, ha, rfl⟩, b, hb, h⟩
-    exact ⟨a, ⟨ha, by rwa [← hf (Or.inr hb) (Or.inl ha) h]⟩, rfl⟩
+  coe_injective <| by
+    push_cast
+    exact Set.image_inter_on fun a ha b hb => hf (Or.inr ha) <| Or.inl hb
 #align finset.image_inter_of_inj_on Finset.image_inter_of_injOn
 
 /- warning: finset.image_inter -> Finset.image_inter is a dubious translation:
@@ -915,6 +913,20 @@ theorem image_eq_empty : s.image f = ∅ ↔ s = ∅ :=
 #align finset.image_eq_empty Finset.image_eq_empty
 -/
 
+theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
+    (s \ t).image f = s.image f \ t.image f :=
+  coe_injective <| by
+    push_cast
+    exact Set.image_diff hf _ _
+#align finset.image_sdiff Finset.image_sdiff
+
+theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
+    (s ∆ t).image f = s.image f ∆ t.image f :=
+  coe_injective <| by
+    push_cast
+    exact Set.image_symm_diff hf _ _
+#align finset.image_symm_diff Finset.image_symmDiff
+
 /- warning: disjoint.of_image_finset -> Disjoint.of_image_finset is a dubious translation:
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : DecidableEq.{succ u2} β] {s : Finset.{u1} α} {t : Finset.{u1} α} {f : α -> β}, (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.orderBot.{u2} β) (Finset.image.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f s) (Finset.image.{u1, u2} α β (fun (a : β) (b : β) => _inst_1 a b) f t)) -> (Disjoint.{u1} (Finset.{u1} α) (Finset.partialOrder.{u1} α) (Finset.orderBot.{u1} α) s t)
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa)) => Eq.ndrec.{0, succ u2} β xb (fun (xa : β) => (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xa (t a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa)) -> False) (fun (hfa : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t a)) (hxa : Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) (hxb : Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -97,7 +97,7 @@ theorem mem_map {b : β} : b ∈ s.map f ↔ ∃ a ∈ s, f a = b :=
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {s : Finset.{u1} α} {f : Equiv.{succ u1, succ u2} α β} {b : β}, Iff (Membership.Mem.{u2, u2} β (Finset.{u2} β) (Finset.hasMem.{u2} β) b (Finset.map.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β f) s)) (Membership.Mem.{u1, u1} α (Finset.{u1} α) (Finset.hasMem.{u1} α) (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} β α) (fun (_x : Equiv.{succ u2, succ u1} β α) => β -> α) (Equiv.hasCoeToFun.{succ u2, succ u1} β α) (Equiv.symm.{succ u1, succ u2} α β f) b) s)
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} {s : Finset.{u2} α} {f : Equiv.{succ u2, succ u1} α β} {b : β}, Iff (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) b (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) s)) (Membership.mem.{u2, u2} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : β) => α) b) (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (_x : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : β) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f) b) s)
+  forall {α : Type.{u2}} {β : Type.{u1}} {s : Finset.{u2} α} {f : Equiv.{succ u2, succ u1} α β} {b : β}, Iff (Membership.mem.{u1, u1} β (Finset.{u1} β) (Finset.instMembershipFinset.{u1} β) b (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) s)) (Membership.mem.{u2, u2} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : β) => α) b) (Finset.{u2} α) (Finset.instMembershipFinset.{u2} α) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (_x : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : β) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f) b) s)
 Case conversion may be inaccurate. Consider using '#align finset.mem_map_equiv Finset.mem_map_equivₓ'. -/
 @[simp]
 theorem mem_map_equiv {f : α ≃ β} {b : β} : b ∈ s.map f.toEmbedding ↔ f.symm b ∈ s :=
@@ -314,7 +314,7 @@ theorem filter_map {p : β → Prop} [DecidablePred p] :
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} {s : Finset.{u1} α} {f : Equiv.{succ u1, succ u2} α β} {p : α -> Prop} [_inst_1 : DecidablePred.{succ u1} α p], Eq.{succ u2} (Finset.{u2} β) (Finset.map.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β f) (Finset.filter.{u1} α p (fun (a : α) => _inst_1 a) s)) (Finset.filter.{u2} β (Function.comp.{succ u2, succ u1, 1} β α Prop p (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} β α) (fun (_x : Equiv.{succ u2, succ u1} β α) => β -> α) (Equiv.hasCoeToFun.{succ u2, succ u1} β α) (Equiv.symm.{succ u1, succ u2} α β f))) (fun (a : β) => _inst_1 (coeFn.{max 1 (max (succ u2) (succ u1)) (succ u1) (succ u2), max (succ u2) (succ u1)} (Equiv.{succ u2, succ u1} β α) (fun (_x : Equiv.{succ u2, succ u1} β α) => β -> α) (Equiv.hasCoeToFun.{succ u2, succ u1} β α) (Equiv.symm.{succ u1, succ u2} α β f) a)) (Finset.map.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β f) s))
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} {s : Finset.{u2} α} {f : Equiv.{succ u2, succ u1} α β} {p : α -> Prop} [_inst_1 : DecidablePred.{succ u2} α p], Eq.{succ u1} (Finset.{u1} β) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) (Finset.filter.{u2} α p (fun (a : α) => _inst_1 a) s)) (Finset.filter.{u1} β (Function.comp.{succ u1, succ u2, 1} β α Prop p (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (_x : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : β) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f))) (fun (a : β) => instDecidablePredCompProp.{succ u1, succ u2} β α p (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (a : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : β) => α) a) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f)) (fun (a : α) => _inst_1 a) a) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) s))
+  forall {α : Type.{u2}} {β : Type.{u1}} {s : Finset.{u2} α} {f : Equiv.{succ u2, succ u1} α β} {p : α -> Prop} [_inst_1 : DecidablePred.{succ u2} α p], Eq.{succ u1} (Finset.{u1} β) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) (Finset.filter.{u2} α p (fun (a : α) => _inst_1 a) s)) (Finset.filter.{u1} β (Function.comp.{succ u1, succ u2, 1} β α Prop p (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (_x : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : β) => α) _x) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f))) (fun (a : β) => instDecidablePredCompProp.{succ u1, succ u2} β α p (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (Equiv.{succ u1, succ u2} β α) β (fun (a : β) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : β) => α) a) (Equiv.instFunLikeEquiv.{succ u1, succ u2} β α) (Equiv.symm.{succ u2, succ u1} α β f)) (fun (a : α) => _inst_1 a) a) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β f) s))
 Case conversion may be inaccurate. Consider using '#align finset.map_filter Finset.map_filterₓ'. -/
 theorem map_filter {f : α ≃ β} {p : α → Prop} [DecidablePred p] :
     (s.filterₓ p).map f.toEmbedding = (s.map f.toEmbedding).filterₓ (p ∘ f.symm) := by
@@ -1285,7 +1285,7 @@ protected def finsetCongr (e : α ≃ β) : Finset α ≃ Finset β
 lean 3 declaration is
   forall {α : Type.{u1}} {β : Type.{u2}} (e : Equiv.{succ u1, succ u2} α β) (s : Finset.{u1} α), Eq.{succ u2} (Finset.{u2} β) (coeFn.{max 1 (max (succ u1) (succ u2)) (succ u2) (succ u1), max (succ u1) (succ u2)} (Equiv.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) (fun (_x : Equiv.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) => (Finset.{u1} α) -> (Finset.{u2} β)) (Equiv.hasCoeToFun.{succ u1, succ u2} (Finset.{u1} α) (Finset.{u2} β)) (Equiv.finsetCongr.{u1, u2} α β e) s) (Finset.map.{u1, u2} α β (Equiv.toEmbedding.{succ u1, succ u2} α β e) s)
 but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} (e : Equiv.{succ u2, succ u1} α β) (s : Finset.{u2} α), Eq.{succ u1} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : Finset.{u2} α) => Finset.{u1} β) s) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Equiv.{succ u2, succ u1} (Finset.{u2} α) (Finset.{u1} β)) (Finset.{u2} α) (fun (_x : Finset.{u2} α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.805 : Finset.{u2} α) => Finset.{u1} β) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} (Finset.{u2} α) (Finset.{u1} β)) (Equiv.finsetCongr.{u2, u1} α β e) s) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β e) s)
+  forall {α : Type.{u2}} {β : Type.{u1}} (e : Equiv.{succ u2, succ u1} α β) (s : Finset.{u2} α), Eq.{succ u1} ((fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : Finset.{u2} α) => Finset.{u1} β) s) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Equiv.{succ u2, succ u1} (Finset.{u2} α) (Finset.{u1} β)) (Finset.{u2} α) (fun (_x : Finset.{u2} α) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : Finset.{u2} α) => Finset.{u1} β) _x) (Equiv.instFunLikeEquiv.{succ u2, succ u1} (Finset.{u2} α) (Finset.{u1} β)) (Equiv.finsetCongr.{u2, u1} α β e) s) (Finset.map.{u2, u1} α β (Equiv.toEmbedding.{succ u2, succ u1} α β e) s)
 Case conversion may be inaccurate. Consider using '#align equiv.finset_congr_apply Equiv.finsetCongr_applyₓ'. -/
 @[simp]
 theorem finsetCongr_apply (e : α ≃ β) (s : Finset α) : e.finsetCongr s = s.map e.toEmbedding :=
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -267,7 +267,7 @@ theorem map_subset_map {s₁ s₂ : Finset α} : s₁.map f ⊆ s₂.map f ↔ s
 /-- Associate to an embedding `f` from `α` to `β` the order embedding that maps a finset to its
 image under `f`. -/
 def mapEmbedding (f : α ↪ β) : Finset α ↪o Finset β :=
-  OrderEmbedding.ofMapLeIff (map f) fun _ _ => map_subset_map
+  OrderEmbedding.ofMapLEIff (map f) fun _ _ => map_subset_map
 #align finset.map_embedding Finset.mapEmbedding
 -/
 
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) a)) -> (Membership.mem.{u1, u1} γ (Finset.{u1} γ) (Finset.instMembershipFinset.{u1} γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa) ((fun (a : α) => Finset.map.{u2, u1} β γ f (t a)) b)) -> (Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ 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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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 but is expected to have type
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(Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (a : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) a) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xa))) => False) h_1 (fun (hfb : Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) xb (t b)) (hfab : Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ 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 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =
Diff
@@ -487,9 +487,9 @@ theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ}
 
 /- warning: finset.disj_Union_map -> Finset.disjUnionᵢ_map is a dubious translation:
 lean 3 declaration is
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(Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β (fun (_x : β) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : β) => γ) _x) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Function.Embedding.{succ u2, succ u1} β γ) β γ (Function.instEmbeddingLikeEmbedding.{succ u2, succ u1} β γ)) f xb)) => Iff.mp (Disjoint.{u2} (Finset.{u2} β) (Finset.partialOrder.{u2} β) (Finset.instOrderBotFinsetToLEToPreorderPartialOrder.{u2} β) (t a) (t b)) (forall {{a_1 : β}}, (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t a)) -> (Not (Membership.mem.{u2, u2} β (Finset.{u2} β) (Finset.instMembershipFinset.{u2} β) a_1 (t b)))) (Finset.disjoint_left.{u2} β (t a) (t b)) (h a ha b hb hab) xb hfa hfb) xa (Function.Embedding.injective.{succ u1, succ u2} β γ f xb xa hfab) hfa hxa hxb hfab))) x h_1_h hxa hxb)))))
 Case conversion may be inaccurate. Consider using '#align finset.disj_Union_map Finset.disjUnionᵢ_mapₓ'. -/
 theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
     (s.disjUnionₓ t h).map f =

Changes in mathlib4

mathlib3
mathlib4
chore: unify date formatting in lemma deprecations (#12334)
  • consistently use the YYYY-MM-DD format
  • when easily possible, put the date on the same line as the deprecated attribute
  • when easily possible, format the entire declaration on the same line

Why these changes?

  • consistency makes it easier for tools to parse this information
  • compactness: I don't see a good reason for these declarations taking up more space than needed; as I understand it, deprecated lemmas are not supposed to be used in mathlib anyway
  • putting the date on the same line as the attribute makes it easier to discover un-dated deprecations; they also ease writing a tool to replace these by a machine-readable version using leanprover/lean4#3968
Diff
@@ -435,7 +435,7 @@ protected theorem Nonempty.image (h : s.Nonempty) (f : α → β) : (s.image f).
 
 alias ⟨Nonempty.of_image, _⟩ := image_nonempty
 
-@[deprecated image_nonempty] -- Since 29 December 2023
+@[deprecated image_nonempty] -- 2023-12-29
 theorem Nonempty.image_iff (f : α → β) : (s.image f).Nonempty ↔ s.Nonempty :=
   image_nonempty
 
@@ -901,14 +901,8 @@ theorem finsetCongr_toEmbedding (e : α ≃ β) :
 
 end Equiv
 
-/-!
-### Deprecated lemmas
-
-Those lemmas have been deprecated on 2023-12-27.
--/
-
 namespace Finset
 
-@[deprecated] alias image_filter := filter_image
+@[deprecated] alias image_filter := filter_image -- 2023-12-27
 
 end Finset
chore: remove more bex and ball from lemma names (#11615)

Follow-up to #10816.

Remaining places containing such lemmas are

  • Option.bex_ne_none and Option.ball_ne_none: defined in Lean core
  • Nat.decidableBallLT and Nat.decidableBallLE: defined in Lean core
  • bef_def is still used in a number of places and could be renamed
  • BAll.imp_{left,right}, BEx.imp_{left,right}, BEx.intro and BEx.elim

I only audited the first ~150 lemmas mentioning "ball"; too many lemmas named after Metric.ball/openBall/closedBall.

Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

Diff
@@ -396,7 +396,7 @@ instance canLift (c) (p) [CanLift β α c p] :
 theorem image_congr (h : (s : Set α).EqOn f g) : Finset.image f s = Finset.image g s := by
   ext
   simp_rw [mem_image, ← bex_def]
-  exact bex_congr fun x hx => by rw [h hx]
+  exact exists₂_congr fun x hx => by rw [h hx]
 #align finset.image_congr Finset.image_congr
 
 theorem _root_.Function.Injective.mem_finset_image (hf : Injective f) :
@@ -659,7 +659,7 @@ theorem disjoint_image {s t : Finset α} {f : α → β} (hf : Injective f) :
 
 theorem image_const {s : Finset α} (h : s.Nonempty) (b : β) : (s.image fun _ => b) = singleton b :=
   ext fun b' => by
-    simp only [mem_image, exists_prop, exists_and_right, h.bex, true_and_iff, mem_singleton,
+    simp only [mem_image, exists_prop, exists_and_right, h.exists_mem, true_and_iff, mem_singleton,
       eq_comm]
 #align finset.image_const Finset.image_const
 
chore: Split Data.{Nat,Int}{.Order}.Basic in group vs ring instances (#11924)

Scatter the content of Data.Nat.Basic across:

  • Data.Nat.Defs for the lemmas having no dependencies
  • Algebra.Group.Nat for the monoid instances and the few miscellaneous lemmas needing them.
  • Algebra.Ring.Nat for the semiring instance and the few miscellaneous lemmas following it.

Similarly, scatter

  • Data.Int.Basic across Data.Int.Defs, Algebra.Group.Int, Algebra.Ring.Int
  • Data.Nat.Order.Basic across Data.Nat.Defs, Algebra.Order.Group.Nat, Algebra.Order.Ring.Nat
  • Data.Int.Order.Basic across Data.Int.Defs, Algebra.Order.Group.Int, Algebra.Order.Ring.Int

Also move a few lemmas from Data.Nat.Order.Lemmas to Data.Nat.Defs.

Before pre_11924

After post_11924

Diff
@@ -6,7 +6,7 @@ Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
 import Mathlib.Algebra.Group.Embedding
 import Mathlib.Data.Fin.Basic
 import Mathlib.Data.Finset.Union
-import Mathlib.Data.Int.Order.Basic
+import Mathlib.Algebra.Order.Ring.Int
 
 #align_import data.finset.image from "leanprover-community/mathlib"@"65a1391a0106c9204fe45bc73a039f056558cb83"
 
chore: avoid Ne.def (adaptation for nightly-2024-03-27) (#11801)
Diff
@@ -278,7 +278,7 @@ theorem map_eq_empty : s.map f = ∅ ↔ s = ∅ :=
 
 @[simp, aesop safe apply (rule_sets := [finsetNonempty])]
 theorem map_nonempty : (s.map f).Nonempty ↔ s.Nonempty := by
-  rw [nonempty_iff_ne_empty, nonempty_iff_ne_empty, Ne.def, map_eq_empty]
+  rw [nonempty_iff_ne_empty, nonempty_iff_ne_empty, Ne, map_eq_empty]
 #align finset.map_nonempty Finset.map_nonempty
 
 alias ⟨_, Nonempty.map⟩ := map_nonempty
chore(Data/Finset/Basic): Depend on less order theory (#11732)

Move Finset.biUnion and Finset.disjiUnion to a new file so that Data.Finset.Basic doesn't depend on that much order theory.

Diff
@@ -5,7 +5,7 @@ Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
 -/
 import Mathlib.Algebra.Group.Embedding
 import Mathlib.Data.Fin.Basic
-import Mathlib.Data.Finset.Basic
+import Mathlib.Data.Finset.Union
 import Mathlib.Data.Int.Order.Basic
 
 #align_import data.finset.image from "leanprover-community/mathlib"@"65a1391a0106c9204fe45bc73a039f056558cb83"
chore: replace λ by fun (#11301)

Per the style guidelines, λ is disallowed in mathlib. This is close to exhaustive; I left some tactic code alone when it seemed to me that tactic could be upstreamed soon.

Notes

  • In lines I was modifying anyway, I also converted => to .
  • Also contains some mild in-passing indentation fixes in Mathlib/Order/SupClosed.
  • Some doc comments still contained Lean 3 syntax λ x, , which I also replaced.
Diff
@@ -514,7 +514,7 @@ theorem coe_image_subset_range : ↑(s.image f) ⊆ Set.range f :=
 #align finset.coe_image_subset_range Finset.coe_image_subset_range
 
 theorem filter_image {p : β → Prop} [DecidablePred p] :
-    (s.image f).filter p = (s.filter λ a ↦ p (f a)).image f :=
+    (s.image f).filter p = (s.filter fun a ↦ p (f a)).image f :=
   ext fun b => by
     simp only [mem_filter, mem_image, exists_prop]
     exact
style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

  • converts "--porting note" into "-- Porting note";
  • converts "porting note" into "Porting note".
Diff
@@ -69,7 +69,7 @@ theorem mem_map {b : β} : b ∈ s.map f ↔ ∃ a ∈ s, f a = b :=
   Multiset.mem_map
 #align finset.mem_map Finset.mem_map
 
---Porting note: Higher priority to apply before `mem_map`.
+-- Porting note: Higher priority to apply before `mem_map`.
 @[simp 1100]
 theorem mem_map_equiv {f : α ≃ β} {b : β} : b ∈ s.map f.toEmbedding ↔ f.symm b ∈ s := by
   rw [mem_map]
chore: bump aesop; update syntax (#10955)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -276,7 +276,7 @@ theorem map_eq_empty : s.map f = ∅ ↔ s = ∅ :=
     e.symm ▸ rfl⟩
 #align finset.map_eq_empty Finset.map_eq_empty
 
-@[simp, aesop safe apply (rule_sets [finsetNonempty])]
+@[simp, aesop safe apply (rule_sets := [finsetNonempty])]
 theorem map_nonempty : (s.map f).Nonempty ↔ s.Nonempty := by
   rw [nonempty_iff_ne_empty, nonempty_iff_ne_empty, Ne.def, map_eq_empty]
 #align finset.map_nonempty Finset.map_nonempty
@@ -424,7 +424,7 @@ theorem coe_image : ↑(s.image f) = f '' ↑s :=
   Set.ext <| by simp only [mem_coe, mem_image, Set.mem_image, implies_true]
 #align finset.coe_image Finset.coe_image
 
-@[simp, aesop safe apply (rule_sets [finsetNonempty])]
+@[simp, aesop safe apply (rule_sets := [finsetNonempty])]
 lemma image_nonempty : (s.image f).Nonempty ↔ s.Nonempty := by
   exact_mod_cast Set.image_nonempty (f := f) (s := (s : Set α))
 #align finset.nonempty.image_iff Finset.image_nonempty
feat: Positivity extension for Finset.sum (#10538)

Also define a new aesop rule-set and an auxiliary metaprogram proveFinsetNonempty for dealing with Finset.Nonempty conditions.

From LeanAPAP

Co-authored-by: Alex J. Best <alex.j.best@gmail.com>

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Alex J Best <alex.j.best@gmail.com>

Diff
@@ -276,7 +276,7 @@ theorem map_eq_empty : s.map f = ∅ ↔ s = ∅ :=
     e.symm ▸ rfl⟩
 #align finset.map_eq_empty Finset.map_eq_empty
 
-@[simp]
+@[simp, aesop safe apply (rule_sets [finsetNonempty])]
 theorem map_nonempty : (s.map f).Nonempty ↔ s.Nonempty := by
   rw [nonempty_iff_ne_empty, nonempty_iff_ne_empty, Ne.def, map_eq_empty]
 #align finset.map_nonempty Finset.map_nonempty
@@ -424,7 +424,7 @@ theorem coe_image : ↑(s.image f) = f '' ↑s :=
   Set.ext <| by simp only [mem_coe, mem_image, Set.mem_image, implies_true]
 #align finset.coe_image Finset.coe_image
 
-@[simp]
+@[simp, aesop safe apply (rule_sets [finsetNonempty])]
 lemma image_nonempty : (s.image f).Nonempty ↔ s.Nonempty := by
   exact_mod_cast Set.image_nonempty (f := f) (s := (s : Set α))
 #align finset.nonempty.image_iff Finset.image_nonempty
chore: rename Equiv.subset_image (#9800)

Finset versions of the renamed lemmas are also added.

Diff
@@ -162,6 +162,18 @@ theorem map_subset_map {s₁ s₂ : Finset α} : s₁.map f ⊆ s₂.map f ↔ s
    fun h => by simp [subset_def, Multiset.map_subset_map h]⟩
 #align finset.map_subset_map Finset.map_subset_map
 
+/-- The `Finset` version of `Equiv.subset_symm_image`. -/
+theorem subset_map_symm {t : Finset β} {f : α ≃ β} : s ⊆ t.map f.symm ↔ s.map f ⊆ t := by
+  constructor <;> intro h x hx
+  · simp only [mem_map_equiv, Equiv.symm_symm] at hx
+    simpa using h hx
+  · simp only [mem_map_equiv]
+    exact h (by simp [hx])
+
+/-- The `Finset` version of `Equiv.symm_image_subset`. -/
+theorem map_symm_subset {t : Finset β} {f : α ≃ β} : t.map f.symm ⊆ s ↔ t ⊆ s.map f := by
+  simp only [← subset_map_symm, Equiv.symm_symm]
+
 /-- Associate to an embedding `f` from `α` to `β` the order embedding that maps a finset to its
 image under `f`. -/
 def mapEmbedding (f : α ↪ β) : Finset α ↪o Finset β :=
chore: scope symmDiff notations (#9844)

Those notations are not scoped whereas the file is very low in the import hierarchy.

Diff
@@ -573,6 +573,7 @@ theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Inj
     exact Set.image_diff hf _ _
 #align finset.image_sdiff Finset.image_sdiff
 
+open scoped symmDiff in
 theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
     (s ∆ t).image f = s.image f ∆ t.image f :=
   coe_injective <| by
chore(Finset/Image): fix a @[deprecated] tag (#9789)

Since Finset.Nonempty.image_iff and Finset.nonempty_image have different explicitness/implicitness of arguments, @[deprecated] doesn't suggest using Finset.image_nonempty without a hint.

Diff
@@ -423,7 +423,7 @@ protected theorem Nonempty.image (h : s.Nonempty) (f : α → β) : (s.image f).
 
 alias ⟨Nonempty.of_image, _⟩ := image_nonempty
 
-@[deprecated] -- Since 29 December 2023
+@[deprecated image_nonempty] -- Since 29 December 2023
 theorem Nonempty.image_iff (f : α → β) : (s.image f).Nonempty ↔ s.Nonempty :=
   image_nonempty
 
feat(Finset/{NAry,Pointwise}): add lemmas about Finset.sup etc (#8950)
Diff
@@ -818,6 +818,8 @@ theorem fin_map {n} {s : Finset ℕ} : (s.fin n).map Fin.valEmbedding = s.filter
   simp [Finset.fin, Finset.map_map]
 #align finset.fin_map Finset.fin_map
 
+/-- If a `Finset` is a subset of the image of a `Set` under `f`,
+then it is equal to the `Finset.image` of a `Finset` subset of that `Set`. -/
 theorem subset_image_iff [DecidableEq β] {s : Set α} {t : Finset β} {f : α → β} :
     ↑t ⊆ f '' s ↔ ∃ s' : Finset α, ↑s' ⊆ s ∧ s'.image f = t := by
   constructor; swap
chore(Data/Finset): drop some Nonempty arguments (#9377)
  • rename Finset.Nonempty.image_iff to Finset.image_nonempty, deprecate the old version;
  • rename Set.nonempty_image_iff to Set.image_nonempty, deprecate the old version;
  • drop unneeded Finset.Nonempty arguments here and there;
  • add versions of some lemmas that assume Nonempty s instead of Nonempty (s.image f) or Nonempty (s.map f).
Diff
@@ -408,22 +408,24 @@ theorem fiber_nonempty_iff_mem_image (f : α → β) (s : Finset α) (y : β) :
 #align finset.fiber_nonempty_iff_mem_image Finset.fiber_nonempty_iff_mem_image
 
 @[simp, norm_cast]
-theorem coe_image {f : α → β} : ↑(s.image f) = f '' ↑s :=
+theorem coe_image : ↑(s.image f) = f '' ↑s :=
   Set.ext <| by simp only [mem_coe, mem_image, Set.mem_image, implies_true]
 #align finset.coe_image Finset.coe_image
 
+@[simp]
+lemma image_nonempty : (s.image f).Nonempty ↔ s.Nonempty := by
+  exact_mod_cast Set.image_nonempty (f := f) (s := (s : Set α))
+#align finset.nonempty.image_iff Finset.image_nonempty
+
 protected theorem Nonempty.image (h : s.Nonempty) (f : α → β) : (s.image f).Nonempty :=
-  let ⟨a, ha⟩ := h
-  ⟨f a, mem_image_of_mem f ha⟩
+  image_nonempty.2 h
 #align finset.nonempty.image Finset.Nonempty.image
 
-@[simp]
+alias ⟨Nonempty.of_image, _⟩ := image_nonempty
+
+@[deprecated] -- Since 29 December 2023
 theorem Nonempty.image_iff (f : α → β) : (s.image f).Nonempty ↔ s.Nonempty :=
-  ⟨fun ⟨_, hy⟩ =>
-    let ⟨x, hx, _⟩ := mem_image.mp hy
-    ⟨x, hx⟩,
-    fun h => h.image f⟩
-#align finset.nonempty.image_iff Finset.Nonempty.image_iff
+  image_nonempty
 
 theorem image_toFinset [DecidableEq α] {s : Multiset α} :
     s.toFinset.image f = (s.map f).toFinset :=
chore: Improve Finset lemma names (#8894)

Change a few lemma names that have historically bothered me.

  • Finset.card_le_of_subsetFinset.card_le_card
  • Multiset.card_le_of_leMultiset.card_le_card
  • Multiset.card_lt_of_ltMultiset.card_lt_card
  • Set.ncard_le_of_subsetSet.ncard_le_ncard
  • Finset.image_filterFinset.filter_image
  • CompleteLattice.finset_sup_compact_of_compactCompleteLattice.isCompactElement_finset_sup
Diff
@@ -499,14 +499,14 @@ theorem coe_image_subset_range : ↑(s.image f) ⊆ Set.range f :=
     _ ⊆ Set.range f := Set.image_subset_range f ↑s
 #align finset.coe_image_subset_range Finset.coe_image_subset_range
 
-theorem image_filter {p : β → Prop} [DecidablePred p] :
+theorem filter_image {p : β → Prop} [DecidablePred p] :
     (s.image f).filter p = (s.filter λ a ↦ p (f a)).image f :=
   ext fun b => by
     simp only [mem_filter, mem_image, exists_prop]
     exact
       ⟨by rintro ⟨⟨x, h1, rfl⟩, h2⟩; exact ⟨x, ⟨h1, h2⟩, rfl⟩,
        by rintro ⟨x, ⟨h1, h2⟩, rfl⟩; exact ⟨⟨x, h1, rfl⟩, h2⟩⟩
-#align finset.image_filter Finset.image_filter
+#align finset.image_filter Finset.filter_image
 
 theorem image_union [DecidableEq α] {f : α → β} (s₁ s₂ : Finset α) :
     (s₁ ∪ s₂).image f = s₁.image f ∪ s₂.image f :=
@@ -883,3 +883,15 @@ theorem finsetCongr_toEmbedding (e : α ≃ β) :
 #align equiv.finset_congr_to_embedding Equiv.finsetCongr_toEmbedding
 
 end Equiv
+
+/-!
+### Deprecated lemmas
+
+Those lemmas have been deprecated on 2023-12-27.
+-/
+
+namespace Finset
+
+@[deprecated] alias image_filter := filter_image
+
+end Finset
chore: space after (#8178)

Co-authored-by: Moritz Firsching <firsching@google.com>

Diff
@@ -490,7 +490,7 @@ theorem image_subset_image_iff {t : Finset α} (hf : Injective f) :
 #align finset.image_subset_image_iff Finset.image_subset_image_iff
 
 lemma image_ssubset_image {t : Finset α} (hf : Injective f) : s.image f ⊂ t.image f ↔ s ⊂ t := by
-  simp_rw [←lt_iff_ssubset]
+  simp_rw [← lt_iff_ssubset]
   exact lt_iff_lt_of_le_iff_le' (image_subset_image_iff hf) (image_subset_image_iff hf)
 
 theorem coe_image_subset_range : ↑(s.image f) ⊆ Set.range f :=
@@ -716,7 +716,7 @@ theorem filterMap_some : s.filterMap some (by simp) = s :=
 
 theorem filterMap_mono (h : s ⊆ t) :
     filterMap f s f_inj ⊆ filterMap f t f_inj := by
-  rw [←val_le_iff] at h ⊢
+  rw [← val_le_iff] at h ⊢
   exact Multiset.filterMap_le_filterMap f h
 
 end FilterMap
perf(FunLike.Basic): beta reduce CoeFun.coe (#7905)

This eliminates (fun a ↦ β) α in the type when applying a FunLike.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

Diff
@@ -66,7 +66,7 @@ variable {f : α ↪ β} {s : Finset α}
 
 @[simp]
 theorem mem_map {b : β} : b ∈ s.map f ↔ ∃ a ∈ s, f a = b :=
-  mem_map.trans <| by simp only [exists_prop]; rfl
+  Multiset.mem_map
 #align finset.mem_map Finset.mem_map
 
 --Porting note: Higher priority to apply before `mem_map`.
Diff
@@ -8,7 +8,7 @@ import Mathlib.Data.Fin.Basic
 import Mathlib.Data.Finset.Basic
 import Mathlib.Data.Int.Order.Basic
 
-#align_import data.finset.image from "leanprover-community/mathlib"@"b685f506164f8d17a6404048bc4d696739c5d976"
+#align_import data.finset.image from "leanprover-community/mathlib"@"65a1391a0106c9204fe45bc73a039f056558cb83"
 
 /-! # Image and map operations on finite sets
 
@@ -187,6 +187,25 @@ theorem filter_map {p : β → Prop} [DecidablePred p] :
   eq_of_veq (map_filter _ _ _)
 #align finset.filter_map Finset.filter_map
 
+lemma map_filter' (p : α → Prop) [DecidablePred p] (f : α ↪ β) (s : Finset α)
+    [DecidablePred (∃ a, p a ∧ f a = ·)] :
+    (s.filter p).map f = (s.map f).filter fun b => ∃ a, p a ∧ f a = b := by
+  simp [(· ∘ ·), filter_map, f.injective.eq_iff]
+#align finset.map_filter' Finset.map_filter'
+
+lemma filter_attach' [DecidableEq α] (s : Finset α) (p : s → Prop) [DecidablePred p] :
+    s.attach.filter p =
+      (s.filter fun x => ∃ h, p ⟨x, h⟩).attach.map
+        ⟨Subtype.map id <| filter_subset _ _, Subtype.map_injective _ injective_id⟩ :=
+  eq_of_veq <| Multiset.filter_attach' _ _
+#align finset.filter_attach' Finset.filter_attach'
+
+lemma filter_attach (p : α → Prop) [DecidablePred p] (s : Finset α) :
+    s.attach.filter (fun a : s ↦ p a) =
+      (s.filter p).attach.map ((Embedding.refl _).subtypeMap mem_of_mem_filter) :=
+  eq_of_veq <| Multiset.filter_attach _ _
+#align finset.filter_attach Finset.filter_attach
+
 theorem map_filter {f : α ≃ β} {p : α → Prop} [DecidablePred p] :
     (s.filter p).map f.toEmbedding = (s.map f.toEmbedding).filter (p ∘ f.symm) := by
   simp only [filter_map, Function.comp, Equiv.toEmbedding_apply, Equiv.symm_apply_apply]
refactor(Algebra/Hom): transpose Hom and file name (#8095)

I believe the file defining a type of morphisms belongs alongside the file defining the structure this morphism works on. So I would like to reorganize the files in the Mathlib.Algebra.Hom folder so that e.g. Mathlib.Algebra.Hom.Ring becomes Mathlib.Algebra.Ring.Hom and Mathlib.Algebra.Hom.NonUnitalAlg becomes Mathlib.Algebra.Algebra.NonUnitalHom.

While fixing the imports I went ahead and sorted them for good luck.

The full list of changes is: renamed: Mathlib/Algebra/Hom/NonUnitalAlg.lean -> Mathlib/Algebra/Algebra/NonUnitalHom.lean renamed: Mathlib/Algebra/Hom/Aut.lean -> Mathlib/Algebra/Group/Aut.lean renamed: Mathlib/Algebra/Hom/Commute.lean -> Mathlib/Algebra/Group/Commute/Hom.lean renamed: Mathlib/Algebra/Hom/Embedding.lean -> Mathlib/Algebra/Group/Embedding.lean renamed: Mathlib/Algebra/Hom/Equiv/Basic.lean -> Mathlib/Algebra/Group/Equiv/Basic.lean renamed: Mathlib/Algebra/Hom/Equiv/TypeTags.lean -> Mathlib/Algebra/Group/Equiv/TypeTags.lean renamed: Mathlib/Algebra/Hom/Equiv/Units/Basic.lean -> Mathlib/Algebra/Group/Units/Equiv.lean renamed: Mathlib/Algebra/Hom/Equiv/Units/GroupWithZero.lean -> Mathlib/Algebra/GroupWithZero/Units/Equiv.lean renamed: Mathlib/Algebra/Hom/Freiman.lean -> Mathlib/Algebra/Group/Freiman.lean renamed: Mathlib/Algebra/Hom/Group/Basic.lean -> Mathlib/Algebra/Group/Hom/Basic.lean renamed: Mathlib/Algebra/Hom/Group/Defs.lean -> Mathlib/Algebra/Group/Hom/Defs.lean renamed: Mathlib/Algebra/Hom/GroupAction.lean -> Mathlib/GroupTheory/GroupAction/Hom.lean renamed: Mathlib/Algebra/Hom/GroupInstances.lean -> Mathlib/Algebra/Group/Hom/Instances.lean renamed: Mathlib/Algebra/Hom/Iterate.lean -> Mathlib/Algebra/GroupPower/IterateHom.lean renamed: Mathlib/Algebra/Hom/Centroid.lean -> Mathlib/Algebra/Ring/CentroidHom.lean renamed: Mathlib/Algebra/Hom/Ring/Basic.lean -> Mathlib/Algebra/Ring/Hom/Basic.lean renamed: Mathlib/Algebra/Hom/Ring/Defs.lean -> Mathlib/Algebra/Ring/Hom/Defs.lean renamed: Mathlib/Algebra/Hom/Units.lean -> Mathlib/Algebra/Group/Units/Hom.lean

Zulip thread: https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Reorganizing.20.60Mathlib.2EAlgebra.2EHom.60

Diff
@@ -3,7 +3,7 @@ Copyright (c) 2015 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
 -/
-import Mathlib.Algebra.Hom.Embedding
+import Mathlib.Algebra.Group.Embedding
 import Mathlib.Data.Fin.Basic
 import Mathlib.Data.Finset.Basic
 import Mathlib.Data.Int.Order.Basic
feat(Data.Finset): add Finset.filterMap (#7672)
Diff
@@ -23,6 +23,8 @@ choosing between `insert` and `Finset.cons`, or between `Finset.union` and `Fins
 
 * `Finset.image`: Given a function `f : α → β`, `s.image f` is the image finset in `β`.
 * `Finset.map`: Given an embedding `f : α ↪ β`, `s.map f` is the image finset in `β`.
+* `Finset.filterMap` Given a function `f : α → Option β`, `s.filterMap f` is the
+  image finset in `β`, filtering out `none`s.
 * `Finset.subtype`: `s.subtype p` is the finset of `Subtype p` whose elements belong to `s`.
 * `Finset.fin`:`s.fin n` is the finset of all elements of `s` less than `n`.
 
@@ -657,6 +659,49 @@ theorem biUnion_singleton {f : α → β} : (s.biUnion fun a => {f a}) = s.image
 
 end Image
 
+/-! ### filterMap -/
+
+section FilterMap
+
+/-- `filterMap f s` is a combination filter/map operation on `s`.
+  The function `f : α → Option β` is applied to each element of `s`;
+  if `f a` is `some b` then `b` is included in the result, otherwise
+  `a` is excluded from the resulting finset.
+
+  In notation, `filterMap f s` is the finset `{b : β | ∃ a ∈ s , f a = some b}`. -/
+-- TODO: should there be `filterImage` too?
+def filterMap (f : α → Option β) (s : Finset α)
+    (f_inj : ∀ a a' b, b ∈ f a → b ∈ f a' → a = a') : Finset β :=
+  ⟨s.val.filterMap f, s.nodup.filterMap f f_inj⟩
+
+variable (f : α → Option β) (s' : Finset α) {s t : Finset α}
+  {f_inj : ∀ a a' b, b ∈ f a → b ∈ f a' → a = a'}
+
+@[simp]
+theorem filterMap_val : (filterMap f s' f_inj).1 = s'.1.filterMap f := rfl
+
+@[simp]
+theorem filterMap_empty : (∅ : Finset α).filterMap f f_inj = ∅ := rfl
+
+@[simp]
+theorem mem_filterMap {b : β} : b ∈ s.filterMap f f_inj ↔ ∃ a ∈ s, f a = some b :=
+  s.val.mem_filterMap f
+
+@[simp, norm_cast]
+theorem coe_filterMap : (s.filterMap f f_inj : Set β) = {b | ∃ a ∈ s, f a = some b} :=
+  Set.ext (by simp only [mem_coe, mem_filterMap, Option.mem_def, Set.mem_setOf_eq, implies_true])
+
+@[simp]
+theorem filterMap_some : s.filterMap some (by simp) = s :=
+  ext fun _ => by simp only [mem_filterMap, Option.some.injEq, exists_eq_right]
+
+theorem filterMap_mono (h : s ⊆ t) :
+    filterMap f s f_inj ⊆ filterMap f t f_inj := by
+  rw [←val_le_iff] at h ⊢
+  exact Multiset.filterMap_le_filterMap f h
+
+end FilterMap
+
 /-! ### Subtype -/
 
 
feat: Miscellaneous Finset lemmas (#7379)
Diff
@@ -337,6 +337,10 @@ theorem forall_image {p : β → Prop} : (∀ b ∈ s.image f, p b) ↔ ∀ a 
   simp only [mem_image, forall_exists_index, and_imp, forall_apply_eq_imp_iff₂]
 #align finset.forall_image Finset.forall_image
 
+theorem map_eq_image (f : α ↪ β) (s : Finset α) : s.map f = s.image f :=
+  eq_of_veq (s.map f).2.dedup.symm
+#align finset.map_eq_image Finset.map_eq_image
+
 --@[simp] Porting note: removing simp, `simp` [Nonempty] can prove it
 theorem mem_image_const : c ∈ s.image (const α b) ↔ s.Nonempty ∧ b = c := by
   rw [mem_image]
@@ -451,6 +455,12 @@ theorem image_subset_iff : s.image f ⊆ t ↔ ∀ x ∈ s, f x ∈ t :=
 theorem image_mono (f : α → β) : Monotone (Finset.image f) := fun _ _ => image_subset_image
 #align finset.image_mono Finset.image_mono
 
+lemma image_injective (hf : Injective f) : Injective (image f) := by
+  simpa only [funext (map_eq_image _)] using map_injective ⟨f, hf⟩
+
+lemma image_inj {t : Finset α} (hf : Injective f) : s.image f = t.image f ↔ s = t :=
+  (image_injective hf).eq_iff
+
 theorem image_subset_image_iff {t : Finset α} (hf : Injective f) :
     s.image f ⊆ t.image f ↔ s ⊆ t := by
   simp_rw [← coe_subset]
@@ -458,6 +468,10 @@ theorem image_subset_image_iff {t : Finset α} (hf : Injective f) :
   exact Set.image_subset_image_iff hf
 #align finset.image_subset_image_iff Finset.image_subset_image_iff
 
+lemma image_ssubset_image {t : Finset α} (hf : Injective f) : s.image f ⊂ t.image f ↔ s ⊂ t := by
+  simp_rw [←lt_iff_ssubset]
+  exact lt_iff_lt_of_le_iff_le' (image_subset_image_iff hf) (image_subset_image_iff hf)
+
 theorem coe_image_subset_range : ↑(s.image f) ⊆ Set.range f :=
   calc
     ↑(s.image f) = f '' ↑s := coe_image
@@ -465,7 +479,7 @@ theorem coe_image_subset_range : ↑(s.image f) ⊆ Set.range f :=
 #align finset.coe_image_subset_range Finset.coe_image_subset_range
 
 theorem image_filter {p : β → Prop} [DecidablePred p] :
-    (s.image f).filter p = (s.filter (p ∘ f)).image f :=
+    (s.image f).filter p = (s.filter λ a ↦ p (f a)).image f :=
   ext fun b => by
     simp only [mem_filter, mem_image, exists_prop]
     exact
@@ -600,10 +614,6 @@ theorem attach_insert [DecidableEq α] {a : α} {s : Finset α} :
       fun _ => Finset.mem_attach _ _⟩
 #align finset.attach_insert Finset.attach_insert
 
-theorem map_eq_image (f : α ↪ β) (s : Finset α) : s.map f = s.image f :=
-  eq_of_veq (s.map f).2.dedup.symm
-#align finset.map_eq_image Finset.map_eq_image
-
 @[simp]
 theorem disjoint_image {s t : Finset α} {f : α → β} (hf : Injective f) :
     Disjoint (s.image f) (t.image f) ↔ Disjoint s t := by
feat: patch for new alias command (#6172)
Diff
@@ -248,7 +248,7 @@ theorem map_nonempty : (s.map f).Nonempty ↔ s.Nonempty := by
   rw [nonempty_iff_ne_empty, nonempty_iff_ne_empty, Ne.def, map_eq_empty]
 #align finset.map_nonempty Finset.map_nonempty
 
-alias map_nonempty ↔ _ Nonempty.map
+alias ⟨_, Nonempty.map⟩ := map_nonempty
 #align finset.nonempty.map Finset.Nonempty.map
 
 theorem attach_map_val {s : Finset α} : s.attach.map (Embedding.subtype _) = s :=
chore: adjust priorities of mem_map lemmas (#6327)

The mem_map lemmas were inconsistently either not simp lemmas at all, simp lemmas, or simp lemmas with a lowered priority.

This PR makes them uniformly low priority simp lemmas, and adds a few simp attributes to "better" simp lemmas instead. (However these lemmas are themselves quite inconsistent across different algebraic structures, and I haven't attempted to add missing ones.)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -62,13 +62,13 @@ theorem map_empty (f : α ↪ β) : (∅ : Finset α).map f = ∅ :=
 
 variable {f : α ↪ β} {s : Finset α}
 
---Porting note: Lower priority because `mem_map_equiv` is better when it applies
-@[simp 900]
+@[simp]
 theorem mem_map {b : β} : b ∈ s.map f ↔ ∃ a ∈ s, f a = b :=
   mem_map.trans <| by simp only [exists_prop]; rfl
 #align finset.mem_map Finset.mem_map
 
-@[simp]
+--Porting note: Higher priority to apply before `mem_map`.
+@[simp 1100]
 theorem mem_map_equiv {f : α ≃ β} {b : β} : b ∈ s.map f.toEmbedding ↔ f.symm b ∈ s := by
   rw [mem_map]
   exact
@@ -77,6 +77,10 @@ theorem mem_map_equiv {f : α ≃ β} {b : β} : b ∈ s.map f.toEmbedding ↔ f
       simpa, fun h => ⟨_, h, by simp⟩⟩
 #align finset.mem_map_equiv Finset.mem_map_equiv
 
+-- The simpNF linter says that the LHS can be simplified via `Finset.mem_map`.
+-- However this is a higher priority lemma.
+-- https://github.com/leanprover/std4/issues/207
+@[simp 1100, nolint simpNF]
 theorem mem_map' (f : α ↪ β) {a} {s : Finset α} : f a ∈ s.map f ↔ a ∈ s :=
   mem_map_of_injective f.2
 #align finset.mem_map' Finset.mem_map'
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
@@ -29,7 +29,7 @@ choosing between `insert` and `Finset.cons`, or between `Finset.union` and `Fins
 -/
 
 
-variable {α β γ : Type _}
+variable {α β γ : Type*}
 
 open Multiset
 
feat: add MeasureTheory.MeasurePreserving.measure_symmDiff_preimage_iterate_le (#6175)

Also some minor loosely-related other changes.

Diff
@@ -536,7 +536,7 @@ theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf :
     (s ∆ t).image f = s.image f ∆ t.image f :=
   coe_injective <| by
     push_cast
-    exact Set.image_symm_diff hf _ _
+    exact Set.image_symmDiff hf _ _
 #align finset.image_symm_diff Finset.image_symmDiff
 
 @[simp]
feat: let convert infer instances from goal and allow tc failure (#6041)

Changes the way the term is elaborated so that typeclass inference is tolerated and so that instances are allowed to come from the goal without re-inferring them.

Diff
@@ -603,8 +603,7 @@ theorem map_eq_image (f : α ↪ β) (s : Finset α) : s.map f = s.image f :=
 @[simp]
 theorem disjoint_image {s t : Finset α} {f : α → β} (hf : Injective f) :
     Disjoint (s.image f) (t.image f) ↔ Disjoint s t := by
-  -- Porting note: was `convert`
-  rw [←disjoint_map ⟨_, hf⟩]
+  convert disjoint_map ⟨_, hf⟩ using 1
   simp [map_eq_image]
 #align finset.disjoint_image Finset.disjoint_image
 
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
@@ -2,17 +2,14 @@
 Copyright (c) 2015 Microsoft Corporation. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
-
-! This file was ported from Lean 3 source module data.finset.image
-! leanprover-community/mathlib commit b685f506164f8d17a6404048bc4d696739c5d976
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Hom.Embedding
 import Mathlib.Data.Fin.Basic
 import Mathlib.Data.Finset.Basic
 import Mathlib.Data.Int.Order.Basic
 
+#align_import data.finset.image from "leanprover-community/mathlib"@"b685f506164f8d17a6404048bc4d696739c5d976"
+
 /-! # Image and map operations on finite sets
 
 This file provides the finite analog of `Set.image`, along with some other similar functions.
chore: fix many typos (#4983)

These are all doc fixes

Diff
@@ -26,7 +26,7 @@ choosing between `insert` and `Finset.cons`, or between `Finset.union` and `Fins
 
 * `Finset.image`: Given a function `f : α → β`, `s.image f` is the image finset in `β`.
 * `Finset.map`: Given an embedding `f : α ↪ β`, `s.map f` is the image finset in `β`.
-* `Finset.subtype`: `s.subtype p` is the the finset of `Subtype p` whose elements belong to `s`.
+* `Finset.subtype`: `s.subtype p` is the finset of `Subtype p` whose elements belong to `s`.
 * `Finset.fin`:`s.fin n` is the finset of all elements of `s` less than `n`.
 
 -/
chore: fix typos (#4518)

I ran codespell Mathlib and got tired halfway through the suggestions.

Diff
@@ -15,7 +15,7 @@ import Mathlib.Data.Int.Order.Basic
 
 /-! # Image and map operations on finite sets
 
-Thie file provides the finite analog of `Set.image`, along with some other similar functions.
+This file provides the finite analog of `Set.image`, along with some other similar functions.
 
 Note there are two ways to take the image over a finset; via `Finset.image` which applies the
 function then removes duplicates (requiring `DecidableEq`), or via `Finset.map` which exploits
chore: fix upper/lowercase in comments (#4360)
  • Run a non-interactive version of fix-comments.py on all files.
  • Go through the diff and manually add/discard/edit chunks.
Diff
@@ -652,7 +652,7 @@ end Image
 
 section Subtype
 
-/-- Given a finset `s` and a predicate `p`, `s.subtype p` is the finset of `subtype p` whose
+/-- Given a finset `s` and a predicate `p`, `s.subtype p` is the finset of `Subtype p` whose
 elements belong to `s`. -/
 protected def subtype {α} (p : α → Prop) [DecidablePred p] (s : Finset α) : Finset (Subtype p) :=
   (s.filter p).attach.map
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
@@ -274,23 +274,23 @@ theorem disjoint_range_addRightEmbedding (a b : ℕ) :
   simpa [← ha] using hk.1
 #align finset.disjoint_range_add_right_embedding Finset.disjoint_range_addRightEmbedding
 
-theorem map_disjUnionᵢ {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h} :
-    (s.map f).disjUnionᵢ t h =
-      s.disjUnionᵢ (fun a => t (f a)) fun _ ha _ hb hab =>
+theorem map_disjiUnion {f : α ↪ β} {s : Finset α} {t : β → Finset γ} {h} :
+    (s.map f).disjiUnion t h =
+      s.disjiUnion (fun a => t (f a)) fun _ ha _ hb hab =>
         h (mem_map_of_mem _ ha) (mem_map_of_mem _ hb) (f.injective.ne hab) :=
   eq_of_veq <| Multiset.bind_map _ _ _
-#align finset.map_disj_Union Finset.map_disjUnionᵢ
+#align finset.map_disj_Union Finset.map_disjiUnion
 
-theorem disjUnionᵢ_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
-    (s.disjUnionᵢ t h).map f =
-      s.disjUnionᵢ (fun a => (t a).map f) fun a ha b hb hab =>
+theorem disjiUnion_map {s : Finset α} {t : α → Finset β} {f : β ↪ γ} {h} :
+    (s.disjiUnion t h).map f =
+      s.disjiUnion (fun a => (t a).map f) fun a ha b hb hab =>
         disjoint_left.mpr fun x hxa hxb => by
           obtain ⟨xa, hfa, rfl⟩ := mem_map.mp hxa
           obtain ⟨xb, hfb, hfab⟩ := mem_map.mp hxb
           obtain rfl := f.injective hfab
           exact disjoint_left.mp (h ha hb hab) hfa hfb :=
   eq_of_veq <| Multiset.map_bind _ _ _
-#align finset.disj_Union_map Finset.disjUnionᵢ_map
+#align finset.disj_Union_map Finset.disjiUnion_map
 
 end Map
 
@@ -624,26 +624,26 @@ theorem map_erase [DecidableEq α] (f : α ↪ β) (s : Finset α) (a : α) :
   exact s.image_erase f.2 a
 #align finset.map_erase Finset.map_erase
 
-theorem image_bunionᵢ [DecidableEq γ] {f : α → β} {s : Finset α} {t : β → Finset γ} :
-    (s.image f).bunionᵢ t = s.bunionᵢ fun a => t (f a) :=
+theorem image_biUnion [DecidableEq γ] {f : α → β} {s : Finset α} {t : β → Finset γ} :
+    (s.image f).biUnion t = s.biUnion fun a => t (f a) :=
   haveI := Classical.decEq α
-  Finset.induction_on s rfl fun a s _ ih => by simp only [image_insert, bunionᵢ_insert, ih]
-#align finset.image_bUnion Finset.image_bunionᵢ
+  Finset.induction_on s rfl fun a s _ ih => by simp only [image_insert, biUnion_insert, ih]
+#align finset.image_bUnion Finset.image_biUnion
 
-theorem bunionᵢ_image [DecidableEq γ] {s : Finset α} {t : α → Finset β} {f : β → γ} :
-    (s.bunionᵢ t).image f = s.bunionᵢ fun a => (t a).image f :=
+theorem biUnion_image [DecidableEq γ] {s : Finset α} {t : α → Finset β} {f : β → γ} :
+    (s.biUnion t).image f = s.biUnion fun a => (t a).image f :=
   haveI := Classical.decEq α
-  Finset.induction_on s rfl fun a s _ ih => by simp only [bunionᵢ_insert, image_union, ih]
-#align finset.bUnion_image Finset.bunionᵢ_image
+  Finset.induction_on s rfl fun a s _ ih => by simp only [biUnion_insert, image_union, ih]
+#align finset.bUnion_image Finset.biUnion_image
 
-theorem image_bunionᵢ_filter_eq [DecidableEq α] (s : Finset β) (g : β → α) :
-    ((s.image g).bunionᵢ fun a => s.filter fun c => g c = a) = s :=
-  bunionᵢ_filter_eq_of_maps_to fun _ => mem_image_of_mem g
-#align finset.image_bUnion_filter_eq Finset.image_bunionᵢ_filter_eq
+theorem image_biUnion_filter_eq [DecidableEq α] (s : Finset β) (g : β → α) :
+    ((s.image g).biUnion fun a => s.filter fun c => g c = a) = s :=
+  biUnion_filter_eq_of_maps_to fun _ => mem_image_of_mem g
+#align finset.image_bUnion_filter_eq Finset.image_biUnion_filter_eq
 
-theorem bunionᵢ_singleton {f : α → β} : (s.bunionᵢ fun a => {f a}) = s.image f :=
-  ext fun x => by simp only [mem_bunionᵢ, mem_image, mem_singleton, eq_comm]
-#align finset.bUnion_singleton Finset.bunionᵢ_singleton
+theorem biUnion_singleton {f : α → β} : (s.biUnion fun a => {f a}) = s.image f :=
+  ext fun x => by simp only [mem_biUnion, mem_image, mem_singleton, eq_comm]
+#align finset.bUnion_singleton Finset.biUnion_singleton
 
 end Image
 
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
@@ -694,8 +694,7 @@ theorem subtype_map_of_mem {p : α → Prop} [DecidablePred p] {s : Finset α} (
 `Embedding.subtype`, all elements of the result have the property of
 the subtype. -/
 theorem property_of_mem_map_subtype {p : α → Prop} (s : Finset { x // p x }) {a : α}
-    (h : a ∈ s.map (Embedding.subtype _)) : p a :=
-  by
+    (h : a ∈ s.map (Embedding.subtype _)) : p a := by
   rcases mem_map.1 h with ⟨x, _, rfl⟩
   exact x.2
 #align finset.property_of_mem_map_subtype Finset.property_of_mem_map_subtype
chore: fix #align lines (#3640)

This PR fixes two things:

  • Most align statements for definitions and theorems and instances that are separated by two newlines from the relevant declaration (s/\n\n#align/\n#align). This is often seen in the mathport output after ending calc blocks.
  • All remaining more-than-one-line #align statements. (This was needed for a script I wrote for #3630.)
Diff
@@ -109,7 +109,6 @@ theorem coe_map_subset_range (f : α ↪ β) (s : Finset α) : (s.map f : Set β
   calc
     ↑(s.map f) = f '' s := coe_map f s
     _ ⊆ Set.range f := Set.image_subset_range f ↑s
-
 #align finset.coe_map_subset_range Finset.coe_map_subset_range
 
 /-- If the only elements outside `s` are those left fixed by `σ`, then mapping by `σ` has no effect.
@@ -446,7 +445,6 @@ theorem image_subset_iff : s.image f ⊆ t ↔ ∀ x ∈ s, f x ∈ t :=
   calc
     s.image f ⊆ t ↔ f '' ↑s ⊆ ↑t := by norm_cast
     _ ↔ _ := Set.image_subset_iff
-
 #align finset.image_subset_iff Finset.image_subset_iff
 
 theorem image_mono (f : α → β) : Monotone (Finset.image f) := fun _ _ => image_subset_image
@@ -463,7 +461,6 @@ theorem coe_image_subset_range : ↑(s.image f) ⊆ Set.range f :=
   calc
     ↑(s.image f) = f '' ↑s := coe_image
     _ ⊆ Set.range f := Set.image_subset_range f ↑s
-
 #align finset.coe_image_subset_range Finset.coe_image_subset_range
 
 theorem image_filter {p : β → Prop} [DecidablePred p] :
chore: forward-port mathlib #18682 (#3200)
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
 
 ! This file was ported from Lean 3 source module data.finset.image
-! leanprover-community/mathlib commit 9003f28797c0664a49e4179487267c494477d853
+! leanprover-community/mathlib commit b685f506164f8d17a6404048bc4d696739c5d976
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -488,10 +488,9 @@ theorem image_inter_subset [DecidableEq α] (f : α → β) (s t : Finset α) :
 
 theorem image_inter_of_injOn [DecidableEq α] {f : α → β} (s t : Finset α)
     (hf : Set.InjOn f (s ∪ t)) : (s ∩ t).image f = s.image f ∩ t.image f :=
-  (image_inter_subset _ _ _).antisymm fun x => by
-    simp only [mem_inter, mem_image]
-    rintro ⟨⟨a, ha, rfl⟩, b, hb, h⟩
-    exact ⟨a, ⟨ha, by rwa [← hf (Or.inr hb) (Or.inl ha) h]⟩, rfl⟩
+  coe_injective <| by
+    push_cast
+    exact Set.image_inter_on fun a ha b hb => hf (Or.inr ha) <| Or.inl hb
 #align finset.image_inter_of_inj_on Finset.image_inter_of_injOn
 
 theorem image_inter [DecidableEq α] (s₁ s₂ : Finset α) (hf : Injective f) :
@@ -532,6 +531,20 @@ theorem image_eq_empty : s.image f = ∅ ↔ s = ∅ :=
    fun e => e.symm ▸ rfl⟩
 #align finset.image_eq_empty Finset.image_eq_empty
 
+theorem image_sdiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
+    (s \ t).image f = s.image f \ t.image f :=
+  coe_injective <| by
+    push_cast
+    exact Set.image_diff hf _ _
+#align finset.image_sdiff Finset.image_sdiff
+
+theorem image_symmDiff [DecidableEq α] {f : α → β} (s t : Finset α) (hf : Injective f) :
+    (s ∆ t).image f = s.image f ∆ t.image f :=
+  coe_injective <| by
+    push_cast
+    exact Set.image_symm_diff hf _ _
+#align finset.image_symm_diff Finset.image_symmDiff
+
 @[simp]
 theorem _root_.Disjoint.of_image_finset {s t : Finset α} {f : α → β}
     (h : Disjoint (s.image f) (t.image f)) : Disjoint s t :=
chore: tidy various files (#2742)
Diff
@@ -163,7 +163,7 @@ theorem map_subset_map {s₁ s₂ : Finset α} : s₁.map f ⊆ s₂.map f ↔ s
 /-- Associate to an embedding `f` from `α` to `β` the order embedding that maps a finset to its
 image under `f`. -/
 def mapEmbedding (f : α ↪ β) : Finset α ↪o Finset β :=
-  OrderEmbedding.ofMapLeIff (map f) fun _ _ => map_subset_map
+  OrderEmbedding.ofMapLEIff (map f) fun _ _ => map_subset_map
 #align finset.map_embedding Finset.mapEmbedding
 
 @[simp]
feat: quick version of mono tactic (#1740)

This is an extremely partial port of the mono* tactic from Lean 3, implemented as a macro on top of solve_by_elim. The original mono had many configuration options and no documentation, so quite a bit is missing (and almost all the Lean 3 tests fail). Nonetheless I think it's worth merging this, because

  • it will get rid of errors in mathport output which come from lemmas being tagged with a nonexistent attribute @[mono]
  • in most mathlib3 uses of mono, only the basic version was used, not the various configuration options; thus I would guess that this version of mono will succeed fairly often in the port even though it fails nearly all the tests

Co-authored-by: thorimur <68410468+thorimur@users.noreply.github.com>

Diff
@@ -660,7 +660,7 @@ theorem subtype_eq_empty {p : α → Prop} [DecidablePred p] {s : Finset α} :
     s.subtype p = ∅ ↔ ∀ x, p x → x ∉ s := by simp [ext_iff, Subtype.forall, Subtype.coe_mk]
 #align finset.subtype_eq_empty Finset.subtype_eq_empty
 
---@[mono] Porting note: `mono` is not ported yet.
+@[mono]
 theorem subtype_mono {p : α → Prop} [DecidablePred p] : Monotone (Finset.subtype p) :=
   fun _ _ h _ hx => mem_subtype.2 <| h <| mem_subtype.1 hx
 #align finset.subtype_mono Finset.subtype_mono
@@ -724,7 +724,7 @@ theorem mem_fin {n} {s : Finset ℕ} : ∀ a : Fin n, a ∈ s.fin n ↔ (a : ℕ
   | ⟨a, ha⟩ => by simp [Finset.fin, ha, and_comm]
 #align finset.mem_fin Finset.mem_fin
 
---@[mono] Porting note: `mono` is not ported yet.
+@[mono]
 theorem fin_mono {n} : Monotone (Finset.fin n) := fun s t h x => by simpa using @h x
 #align finset.fin_mono Finset.fin_mono
 
chore: fix casing errors per naming scheme (#1670)
Diff
@@ -763,7 +763,7 @@ theorem Multiset.toFinset_map [DecidableEq α] [DecidableEq β] (f : α → β)
 
 namespace Equiv
 
-/-- Given an equivalence `α` to `β`, produce an equivalence between `finset α` and `finset β`. -/
+/-- Given an equivalence `α` to `β`, produce an equivalence between `Finset α` and `Finset β`. -/
 protected def finsetCongr (e : α ≃ β) : Finset α ≃ Finset β where
   toFun s := s.map e.toEmbedding
   invFun s := s.map e.symm.toEmbedding
chore: the style linter shouldn't complain about long #align lines (#1643)
Diff
@@ -550,8 +550,7 @@ theorem mem_range_iff_mem_finset_range_of_mod_eq' [DecidableEq α] {f : ℕ →
     simp only [mem_image, exists_prop, Set.mem_range, mem_range] at *
     rcases h with ⟨i, _, ha⟩
     exact ⟨i, ha⟩
-#align
-  finset.mem_range_iff_mem_finset_range_of_mod_eq' Finset.mem_range_iff_mem_finset_range_of_mod_eq'
+#align finset.mem_range_iff_mem_finset_range_of_mod_eq' Finset.mem_range_iff_mem_finset_range_of_mod_eq'
 
 theorem mem_range_iff_mem_finset_range_of_mod_eq [DecidableEq α] {f : ℤ → α} {a : α} {n : ℕ}
     (hn : 0 < n) (h : ∀ i, f (i % n) = f i) :
@@ -565,8 +564,7 @@ theorem mem_range_iff_mem_finset_range_of_mod_eq [DecidableEq α] {f : ℤ → 
         rw [← Int.ofNat_lt, Int.toNat_of_nonneg this]; exact ⟨Int.emod_lt_of_pos i hn', hi⟩⟩)
     fun ⟨i, hi, ha⟩ =>
     ⟨i, by rw [Int.emod_eq_of_lt (Int.ofNat_zero_le _) (Int.ofNat_lt_ofNat_of_lt hi), ha]⟩
-#align
-  finset.mem_range_iff_mem_finset_range_of_mod_eq Finset.mem_range_iff_mem_finset_range_of_mod_eq
+#align finset.mem_range_iff_mem_finset_range_of_mod_eq Finset.mem_range_iff_mem_finset_range_of_mod_eq
 
 theorem range_add (a b : ℕ) : range (a + b) = range a ∪ (range b).map (addLeftEmbedding a) := by
   rw [← val_inj, union_val]
feat: port Data.Finset.Image (#1586)

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>

Dependencies 2 + 152

153 files ported (98.7%)
70730 lines ported (99.8%)
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The unported dependencies are