order.succ_pred.limitMathlib.Order.SuccPred.Limit

This file has been ported!

Changes since the initial port

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

Changes in mathlib3

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(last sync)

Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -118,7 +118,7 @@ theorem IsSuccLimit.isMin_of_noMax [NoMaxOrder α] (h : IsSuccLimit a) : IsMin a
   by
   rcases hb.exists_succ_iterate with ⟨_ | n, rfl⟩
   · exact le_rfl
-  · rw [iterate_succ_apply'] at h 
+  · rw [iterate_succ_apply'] at h
     exact (not_is_succ_limit_succ _ h).elim
 #align order.is_succ_limit.is_min_of_no_max Order.IsSuccLimit.isMin_of_noMax
 -/
Diff
@@ -212,7 +212,8 @@ noncomputable def isSuccLimitRecOn (b : α) (hs : ∀ a, ¬IsMax a → C (succ a
 
 #print Order.isSuccLimitRecOn_limit /-
 theorem isSuccLimitRecOn_limit (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a, IsSuccLimit a → C a)
-    (hb : IsSuccLimit b) : @isSuccLimitRecOn α _ _ C b hs hl = hl b hb := by classical
+    (hb : IsSuccLimit b) : @isSuccLimitRecOn α _ _ C b hs hl = hl b hb := by
+  classical exact dif_pos hb
 #align order.is_succ_limit_rec_on_limit Order.isSuccLimitRecOn_limit
 -/
 
Diff
@@ -212,8 +212,7 @@ noncomputable def isSuccLimitRecOn (b : α) (hs : ∀ a, ¬IsMax a → C (succ a
 
 #print Order.isSuccLimitRecOn_limit /-
 theorem isSuccLimitRecOn_limit (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a, IsSuccLimit a → C a)
-    (hb : IsSuccLimit b) : @isSuccLimitRecOn α _ _ C b hs hl = hl b hb := by
-  classical exact dif_pos hb
+    (hb : IsSuccLimit b) : @isSuccLimitRecOn α _ _ C b hs hl = hl b hb := by classical
 #align order.is_succ_limit_rec_on_limit Order.isSuccLimitRecOn_limit
 -/
 
Diff
@@ -47,15 +47,15 @@ def IsSuccLimit (a : α) : Prop :=
 #align order.is_succ_limit Order.IsSuccLimit
 -/
 
-#print Order.not_isSuccLimit_iff_exists_covby /-
-theorem not_isSuccLimit_iff_exists_covby (a : α) : ¬IsSuccLimit a ↔ ∃ b, b ⋖ a := by
+#print Order.not_isSuccLimit_iff_exists_covBy /-
+theorem not_isSuccLimit_iff_exists_covBy (a : α) : ¬IsSuccLimit a ↔ ∃ b, b ⋖ a := by
   simp [is_succ_limit]
-#align order.not_is_succ_limit_iff_exists_covby Order.not_isSuccLimit_iff_exists_covby
+#align order.not_is_succ_limit_iff_exists_covby Order.not_isSuccLimit_iff_exists_covBy
 -/
 
 #print Order.isSuccLimit_of_dense /-
 @[simp]
-theorem isSuccLimit_of_dense [DenselyOrdered α] (a : α) : IsSuccLimit a := fun b => not_covby
+theorem isSuccLimit_of_dense [DenselyOrdered α] (a : α) : IsSuccLimit a := fun b => not_covBy
 #align order.is_succ_limit_of_dense Order.isSuccLimit_of_dense
 -/
 
@@ -305,14 +305,14 @@ def IsPredLimit (a : α) : Prop :=
 #align order.is_pred_limit Order.IsPredLimit
 -/
 
-#print Order.not_isPredLimit_iff_exists_covby /-
-theorem not_isPredLimit_iff_exists_covby (a : α) : ¬IsPredLimit a ↔ ∃ b, a ⋖ b := by
+#print Order.not_isPredLimit_iff_exists_covBy /-
+theorem not_isPredLimit_iff_exists_covBy (a : α) : ¬IsPredLimit a ↔ ∃ b, a ⋖ b := by
   simp [is_pred_limit]
-#align order.not_is_pred_limit_iff_exists_covby Order.not_isPredLimit_iff_exists_covby
+#align order.not_is_pred_limit_iff_exists_covby Order.not_isPredLimit_iff_exists_covBy
 -/
 
 #print Order.isPredLimit_of_dense /-
-theorem isPredLimit_of_dense [DenselyOrdered α] (a : α) : IsPredLimit a := fun b => not_covby
+theorem isPredLimit_of_dense [DenselyOrdered α] (a : α) : IsPredLimit a := fun b => not_covBy
 #align order.is_pred_limit_of_dense Order.isPredLimit_of_dense
 -/
 
Diff
@@ -251,7 +251,7 @@ theorem isSuccLimit_iff_succ_ne : IsSuccLimit a ↔ ∀ b, succ b ≠ a :=
 
 #print Order.not_isSuccLimit_iff' /-
 theorem not_isSuccLimit_iff' : ¬IsSuccLimit a ↔ a ∈ range (@succ α _ _) := by
-  simp_rw [is_succ_limit_iff_succ_ne, not_forall, not_ne_iff]; rfl
+  simp_rw [is_succ_limit_iff_succ_ne, Classical.not_forall, not_ne_iff]; rfl
 #align order.not_is_succ_limit_iff' Order.not_isSuccLimit_iff'
 -/
 
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Violeta Hernández Palacios
 -/
-import Mathbin.Order.SuccPred.Basic
+import Order.SuccPred.Basic
 
 #align_import order.succ_pred.limit from "leanprover-community/mathlib"@"baba818b9acea366489e8ba32d2cc0fcaf50a1f7"
 
Diff
@@ -330,10 +330,10 @@ theorem isPredLimit_toDual_iff : IsPredLimit (toDual a) ↔ IsSuccLimit a := by
 #align order.is_pred_limit_to_dual_iff Order.isPredLimit_toDual_iff
 -/
 
-alias is_succ_limit_to_dual_iff ↔ _ is_pred_limit.dual
+alias ⟨_, is_pred_limit.dual⟩ := is_succ_limit_to_dual_iff
 #align order.is_pred_limit.dual Order.isPredLimit.dual
 
-alias is_pred_limit_to_dual_iff ↔ _ is_succ_limit.dual
+alias ⟨_, is_succ_limit.dual⟩ := is_pred_limit_to_dual_iff
 #align order.is_succ_limit.dual Order.isSuccLimit.dual
 
 end LT
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Violeta Hernández Palacios
-
-! This file was ported from Lean 3 source module order.succ_pred.limit
-! leanprover-community/mathlib commit baba818b9acea366489e8ba32d2cc0fcaf50a1f7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Order.SuccPred.Basic
 
+#align_import order.succ_pred.limit from "leanprover-community/mathlib"@"baba818b9acea366489e8ba32d2cc0fcaf50a1f7"
+
 /-!
 # Successor and predecessor limits
 
Diff
@@ -74,9 +74,11 @@ protected theorem IsMin.isSuccLimit : IsMin a → IsSuccLimit a := fun h b hab =
 #align is_min.is_succ_limit IsMin.isSuccLimit
 -/
 
+#print Order.isSuccLimit_bot /-
 theorem isSuccLimit_bot [OrderBot α] : IsSuccLimit (⊥ : α) :=
   isMin_bot.IsSuccLimit
 #align order.is_succ_limit_bot Order.isSuccLimit_bot
+-/
 
 variable [SuccOrder α]
 
@@ -211,11 +213,14 @@ noncomputable def isSuccLimitRecOn (b : α) (hs : ∀ a, ¬IsMax a → C (succ a
 #align order.is_succ_limit_rec_on Order.isSuccLimitRecOn
 -/
 
+#print Order.isSuccLimitRecOn_limit /-
 theorem isSuccLimitRecOn_limit (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a, IsSuccLimit a → C a)
     (hb : IsSuccLimit b) : @isSuccLimitRecOn α _ _ C b hs hl = hl b hb := by
   classical exact dif_pos hb
 #align order.is_succ_limit_rec_on_limit Order.isSuccLimitRecOn_limit
+-/
 
+#print Order.isSuccLimitRecOn_succ' /-
 theorem isSuccLimitRecOn_succ' (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a, IsSuccLimit a → C a)
     {b : α} (hb : ¬IsMax b) : @isSuccLimitRecOn α _ _ C (succ b) hs hl = hs b hb :=
   by
@@ -227,16 +232,19 @@ theorem isSuccLimitRecOn_succ' (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀
   · exact (succ_eq_succ_iff_of_not_is_max H.1 hb).1 H.2
   · apply proof_irrel_heq
 #align order.is_succ_limit_rec_on_succ' Order.isSuccLimitRecOn_succ'
+-/
 
 section NoMaxOrder
 
 variable [NoMaxOrder α]
 
+#print Order.isSuccLimitRecOn_succ /-
 @[simp]
 theorem isSuccLimitRecOn_succ (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a, IsSuccLimit a → C a)
     (b : α) : @isSuccLimitRecOn α _ _ C (succ b) hs hl = hs b (not_isMax b) :=
   isSuccLimitRecOn_succ' _ _ _
 #align order.is_succ_limit_rec_on_succ Order.isSuccLimitRecOn_succ
+-/
 
 #print Order.isSuccLimit_iff_succ_ne /-
 theorem isSuccLimit_iff_succ_ne : IsSuccLimit a ↔ ∀ b, succ b ≠ a :=
@@ -343,9 +351,11 @@ protected theorem IsMax.isPredLimit : IsMax a → IsPredLimit a := fun h b hab =
 #align is_max.is_pred_limit IsMax.isPredLimit
 -/
 
+#print Order.isPredLimit_top /-
 theorem isPredLimit_top [OrderTop α] : IsPredLimit (⊤ : α) :=
   isMax_top.IsPredLimit
 #align order.is_pred_limit_top Order.isPredLimit_top
+-/
 
 variable [PredOrder α]
 
@@ -461,25 +471,31 @@ noncomputable def isPredLimitRecOn (b : α) (hs : ∀ a, ¬IsMin a → C (pred a
 #align order.is_pred_limit_rec_on Order.isPredLimitRecOn
 -/
 
+#print Order.isPredLimitRecOn_limit /-
 theorem isPredLimitRecOn_limit (hs : ∀ a, ¬IsMin a → C (pred a)) (hl : ∀ a, IsPredLimit a → C a)
     (hb : IsPredLimit b) : @isPredLimitRecOn α _ _ C b hs hl = hl b hb :=
   isSuccLimitRecOn_limit _ _ hb.dual
 #align order.is_pred_limit_rec_on_limit Order.isPredLimitRecOn_limit
+-/
 
+#print Order.isPredLimitRecOn_pred' /-
 theorem isPredLimitRecOn_pred' (hs : ∀ a, ¬IsMin a → C (pred a)) (hl : ∀ a, IsPredLimit a → C a)
     {b : α} (hb : ¬IsMin b) : @isPredLimitRecOn α _ _ C (pred b) hs hl = hs b hb :=
   isSuccLimitRecOn_succ' _ _ _
 #align order.is_pred_limit_rec_on_pred' Order.isPredLimitRecOn_pred'
+-/
 
 section NoMinOrder
 
 variable [NoMinOrder α]
 
+#print Order.isPredLimitRecOn_pred /-
 @[simp]
 theorem isPredLimitRecOn_pred (hs : ∀ a, ¬IsMin a → C (pred a)) (hl : ∀ a, IsPredLimit a → C a)
     (b : α) : @isPredLimitRecOn α _ _ C (pred b) hs hl = hs b (not_isMin b) :=
   isSuccLimitRecOn_succ _ _ _
 #align order.is_pred_limit_rec_on_pred Order.isPredLimitRecOn_pred
+-/
 
 end NoMinOrder
 
Diff
@@ -119,7 +119,7 @@ theorem IsSuccLimit.isMin_of_noMax [NoMaxOrder α] (h : IsSuccLimit a) : IsMin a
   by
   rcases hb.exists_succ_iterate with ⟨_ | n, rfl⟩
   · exact le_rfl
-  · rw [iterate_succ_apply'] at h
+  · rw [iterate_succ_apply'] at h 
     exact (not_is_succ_limit_succ _ h).elim
 #align order.is_succ_limit.is_min_of_no_max Order.IsSuccLimit.isMin_of_noMax
 -/
@@ -262,7 +262,7 @@ protected theorem IsSuccLimit.isMin (h : IsSuccLimit a) : IsMin a := fun b hb =>
   revert h
   refine' Succ.rec (fun _ => le_rfl) (fun c hbc H hc => _) hb
   have := hc.is_max.succ_eq
-  rw [this] at hc⊢
+  rw [this] at hc ⊢
   exact H hc
 #align order.is_succ_limit.is_min Order.IsSuccLimit.isMin
 -/
Diff
@@ -68,9 +68,11 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
+#print IsMin.isSuccLimit /-
 protected theorem IsMin.isSuccLimit : IsMin a → IsSuccLimit a := fun h b hab =>
   not_isMin_of_lt hab.lt h
 #align is_min.is_succ_limit IsMin.isSuccLimit
+-/
 
 theorem isSuccLimit_bot [OrderBot α] : IsSuccLimit (⊥ : α) :=
   isMin_bot.IsSuccLimit
@@ -78,25 +80,33 @@ theorem isSuccLimit_bot [OrderBot α] : IsSuccLimit (⊥ : α) :=
 
 variable [SuccOrder α]
 
+#print Order.IsSuccLimit.isMax /-
 protected theorem IsSuccLimit.isMax (h : IsSuccLimit (succ a)) : IsMax a := by by_contra H;
   exact h a (covby_succ_of_not_is_max H)
 #align order.is_succ_limit.is_max Order.IsSuccLimit.isMax
+-/
 
+#print Order.not_isSuccLimit_succ_of_not_isMax /-
 theorem not_isSuccLimit_succ_of_not_isMax (ha : ¬IsMax a) : ¬IsSuccLimit (succ a) := by
   contrapose! ha; exact ha.is_max
 #align order.not_is_succ_limit_succ_of_not_is_max Order.not_isSuccLimit_succ_of_not_isMax
+-/
 
 section NoMaxOrder
 
 variable [NoMaxOrder α]
 
+#print Order.IsSuccLimit.succ_ne /-
 theorem IsSuccLimit.succ_ne (h : IsSuccLimit a) (b : α) : succ b ≠ a := by rintro rfl;
   exact not_isMax _ h.is_max
 #align order.is_succ_limit.succ_ne Order.IsSuccLimit.succ_ne
+-/
 
+#print Order.not_isSuccLimit_succ /-
 @[simp]
 theorem not_isSuccLimit_succ (a : α) : ¬IsSuccLimit (succ a) := fun h => h.succ_ne _ rfl
 #align order.not_is_succ_limit_succ Order.not_isSuccLimit_succ
+-/
 
 end NoMaxOrder
 
@@ -104,6 +114,7 @@ section IsSuccArchimedean
 
 variable [IsSuccArchimedean α]
 
+#print Order.IsSuccLimit.isMin_of_noMax /-
 theorem IsSuccLimit.isMin_of_noMax [NoMaxOrder α] (h : IsSuccLimit a) : IsMin a := fun b hb =>
   by
   rcases hb.exists_succ_iterate with ⟨_ | n, rfl⟩
@@ -111,14 +122,19 @@ theorem IsSuccLimit.isMin_of_noMax [NoMaxOrder α] (h : IsSuccLimit a) : IsMin a
   · rw [iterate_succ_apply'] at h
     exact (not_is_succ_limit_succ _ h).elim
 #align order.is_succ_limit.is_min_of_no_max Order.IsSuccLimit.isMin_of_noMax
+-/
 
+#print Order.isSuccLimit_iff_of_noMax /-
 @[simp]
 theorem isSuccLimit_iff_of_noMax [NoMaxOrder α] : IsSuccLimit a ↔ IsMin a :=
   ⟨IsSuccLimit.isMin_of_noMax, IsMin.isSuccLimit⟩
 #align order.is_succ_limit_iff_of_no_max Order.isSuccLimit_iff_of_noMax
+-/
 
+#print Order.not_isSuccLimit_of_noMax /-
 theorem not_isSuccLimit_of_noMax [NoMinOrder α] [NoMaxOrder α] : ¬IsSuccLimit a := by simp
 #align order.not_is_succ_limit_of_no_max Order.not_isSuccLimit_of_noMax
+-/
 
 end IsSuccArchimedean
 
@@ -128,9 +144,12 @@ section PartialOrder
 
 variable [PartialOrder α] [SuccOrder α] {a b : α} {C : α → Sort _}
 
+#print Order.isSuccLimit_of_succ_ne /-
 theorem isSuccLimit_of_succ_ne (h : ∀ b, succ b ≠ a) : IsSuccLimit a := fun b hba => h b hba.succ_eq
 #align order.is_succ_limit_of_succ_ne Order.isSuccLimit_of_succ_ne
+-/
 
+#print Order.not_isSuccLimit_iff /-
 theorem not_isSuccLimit_iff : ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b = a :=
   by
   rw [not_is_succ_limit_iff_exists_covby]
@@ -138,17 +157,23 @@ theorem not_isSuccLimit_iff : ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b =
   rintro ⟨h, rfl⟩
   exact covby_succ_of_not_is_max h
 #align order.not_is_succ_limit_iff Order.not_isSuccLimit_iff
+-/
 
+#print Order.mem_range_succ_of_not_isSuccLimit /-
 /-- See `not_is_succ_limit_iff` for a version that states that `a` is a successor of a value other
 than itself. -/
 theorem mem_range_succ_of_not_isSuccLimit (h : ¬IsSuccLimit a) : a ∈ range (@succ α _ _) := by
   cases' not_is_succ_limit_iff.1 h with b hb; exact ⟨b, hb.2⟩
 #align order.mem_range_succ_of_not_is_succ_limit Order.mem_range_succ_of_not_isSuccLimit
+-/
 
+#print Order.isSuccLimit_of_succ_lt /-
 theorem isSuccLimit_of_succ_lt (H : ∀ a < b, succ a < b) : IsSuccLimit b := fun a hab =>
   (H a hab.lt).Ne hab.succ_eq
 #align order.is_succ_limit_of_succ_lt Order.isSuccLimit_of_succ_lt
+-/
 
+#print Order.IsSuccLimit.succ_lt /-
 theorem IsSuccLimit.succ_lt (hb : IsSuccLimit b) (ha : a < b) : succ a < b :=
   by
   by_cases h : IsMax a
@@ -158,15 +183,21 @@ theorem IsSuccLimit.succ_lt (hb : IsSuccLimit b) (ha : a < b) : succ a < b :=
     subst hab
     exact (h hb.is_max).elim
 #align order.is_succ_limit.succ_lt Order.IsSuccLimit.succ_lt
+-/
 
+#print Order.IsSuccLimit.succ_lt_iff /-
 theorem IsSuccLimit.succ_lt_iff (hb : IsSuccLimit b) : succ a < b ↔ a < b :=
   ⟨fun h => (le_succ a).trans_lt h, hb.succ_lt⟩
 #align order.is_succ_limit.succ_lt_iff Order.IsSuccLimit.succ_lt_iff
+-/
 
+#print Order.isSuccLimit_iff_succ_lt /-
 theorem isSuccLimit_iff_succ_lt : IsSuccLimit b ↔ ∀ a < b, succ a < b :=
   ⟨fun hb a => hb.succ_lt, isSuccLimit_of_succ_lt⟩
 #align order.is_succ_limit_iff_succ_lt Order.isSuccLimit_iff_succ_lt
+-/
 
+#print Order.isSuccLimitRecOn /-
 /-- A value can be built by building it on successors and successor limits. -/
 @[elab_as_elim]
 noncomputable def isSuccLimitRecOn (b : α) (hs : ∀ a, ¬IsMax a → C (succ a))
@@ -178,6 +209,7 @@ noncomputable def isSuccLimitRecOn (b : α) (hs : ∀ a, ¬IsMax a → C (succ a
     rw [← H.2]
     exact hs _ H.1
 #align order.is_succ_limit_rec_on Order.isSuccLimitRecOn
+-/
 
 theorem isSuccLimitRecOn_limit (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a, IsSuccLimit a → C a)
     (hb : IsSuccLimit b) : @isSuccLimitRecOn α _ _ C b hs hl = hl b hb := by
@@ -206,13 +238,17 @@ theorem isSuccLimitRecOn_succ (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a
   isSuccLimitRecOn_succ' _ _ _
 #align order.is_succ_limit_rec_on_succ Order.isSuccLimitRecOn_succ
 
+#print Order.isSuccLimit_iff_succ_ne /-
 theorem isSuccLimit_iff_succ_ne : IsSuccLimit a ↔ ∀ b, succ b ≠ a :=
   ⟨IsSuccLimit.succ_ne, isSuccLimit_of_succ_ne⟩
 #align order.is_succ_limit_iff_succ_ne Order.isSuccLimit_iff_succ_ne
+-/
 
+#print Order.not_isSuccLimit_iff' /-
 theorem not_isSuccLimit_iff' : ¬IsSuccLimit a ↔ a ∈ range (@succ α _ _) := by
   simp_rw [is_succ_limit_iff_succ_ne, not_forall, not_ne_iff]; rfl
 #align order.not_is_succ_limit_iff' Order.not_isSuccLimit_iff'
+-/
 
 end NoMaxOrder
 
@@ -220,6 +256,7 @@ section IsSuccArchimedean
 
 variable [IsSuccArchimedean α]
 
+#print Order.IsSuccLimit.isMin /-
 protected theorem IsSuccLimit.isMin (h : IsSuccLimit a) : IsMin a := fun b hb =>
   by
   revert h
@@ -228,14 +265,19 @@ protected theorem IsSuccLimit.isMin (h : IsSuccLimit a) : IsMin a := fun b hb =>
   rw [this] at hc⊢
   exact H hc
 #align order.is_succ_limit.is_min Order.IsSuccLimit.isMin
+-/
 
+#print Order.isSuccLimit_iff /-
 @[simp]
 theorem isSuccLimit_iff : IsSuccLimit a ↔ IsMin a :=
   ⟨IsSuccLimit.isMin, IsMin.isSuccLimit⟩
 #align order.is_succ_limit_iff Order.isSuccLimit_iff
+-/
 
+#print Order.not_isSuccLimit /-
 theorem not_isSuccLimit [NoMinOrder α] : ¬IsSuccLimit a := by simp
 #align order.not_is_succ_limit Order.not_isSuccLimit
+-/
 
 end IsSuccArchimedean
 
@@ -295,9 +337,11 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
+#print IsMax.isPredLimit /-
 protected theorem IsMax.isPredLimit : IsMax a → IsPredLimit a := fun h b hab =>
   not_isMax_of_lt hab.lt h
 #align is_max.is_pred_limit IsMax.isPredLimit
+-/
 
 theorem isPredLimit_top [OrderTop α] : IsPredLimit (⊤ : α) :=
   isMax_top.IsPredLimit
@@ -305,25 +349,33 @@ theorem isPredLimit_top [OrderTop α] : IsPredLimit (⊤ : α) :=
 
 variable [PredOrder α]
 
+#print Order.IsPredLimit.isMin /-
 protected theorem IsPredLimit.isMin (h : IsPredLimit (pred a)) : IsMin a := by by_contra H;
   exact h a (pred_covby_of_not_is_min H)
 #align order.is_pred_limit.is_min Order.IsPredLimit.isMin
+-/
 
+#print Order.not_isPredLimit_pred_of_not_isMin /-
 theorem not_isPredLimit_pred_of_not_isMin (ha : ¬IsMin a) : ¬IsPredLimit (pred a) := by
   contrapose! ha; exact ha.is_min
 #align order.not_is_pred_limit_pred_of_not_is_min Order.not_isPredLimit_pred_of_not_isMin
+-/
 
 section NoMinOrder
 
 variable [NoMinOrder α]
 
+#print Order.IsPredLimit.pred_ne /-
 theorem IsPredLimit.pred_ne (h : IsPredLimit a) (b : α) : pred b ≠ a := by rintro rfl;
   exact not_isMin _ h.is_min
 #align order.is_pred_limit.pred_ne Order.IsPredLimit.pred_ne
+-/
 
+#print Order.not_isPredLimit_pred /-
 @[simp]
 theorem not_isPredLimit_pred (a : α) : ¬IsPredLimit (pred a) := fun h => h.pred_ne _ rfl
 #align order.not_is_pred_limit_pred Order.not_isPredLimit_pred
+-/
 
 end NoMinOrder
 
@@ -331,17 +383,23 @@ section IsPredArchimedean
 
 variable [IsPredArchimedean α]
 
+#print Order.IsPredLimit.isMax_of_noMin /-
 protected theorem IsPredLimit.isMax_of_noMin [NoMinOrder α] (h : IsPredLimit a) : IsMax a :=
   h.dual.isMin_of_noMax
 #align order.is_pred_limit.is_max_of_no_min Order.IsPredLimit.isMax_of_noMin
+-/
 
+#print Order.isPredLimit_iff_of_noMin /-
 @[simp]
 theorem isPredLimit_iff_of_noMin [NoMinOrder α] : IsPredLimit a ↔ IsMax a :=
   isSuccLimit_toDual_iff.symm.trans isSuccLimit_iff_of_noMax
 #align order.is_pred_limit_iff_of_no_min Order.isPredLimit_iff_of_noMin
+-/
 
+#print Order.not_isPredLimit_of_noMin /-
 theorem not_isPredLimit_of_noMin [NoMinOrder α] [NoMaxOrder α] : ¬IsPredLimit a := by simp
 #align order.not_is_pred_limit_of_no_min Order.not_isPredLimit_of_noMin
+-/
 
 end IsPredArchimedean
 
@@ -351,41 +409,57 @@ section PartialOrder
 
 variable [PartialOrder α] [PredOrder α] {a b : α} {C : α → Sort _}
 
+#print Order.isPredLimit_of_pred_ne /-
 theorem isPredLimit_of_pred_ne (h : ∀ b, pred b ≠ a) : IsPredLimit a := fun b hba => h b hba.pred_eq
 #align order.is_pred_limit_of_pred_ne Order.isPredLimit_of_pred_ne
+-/
 
+#print Order.not_isPredLimit_iff /-
 theorem not_isPredLimit_iff : ¬IsPredLimit a ↔ ∃ b, ¬IsMin b ∧ pred b = a := by
   rw [← is_succ_limit_to_dual_iff]; exact not_is_succ_limit_iff
 #align order.not_is_pred_limit_iff Order.not_isPredLimit_iff
+-/
 
+#print Order.mem_range_pred_of_not_isPredLimit /-
 /-- See `not_is_pred_limit_iff` for a version that states that `a` is a successor of a value other
 than itself. -/
 theorem mem_range_pred_of_not_isPredLimit (h : ¬IsPredLimit a) : a ∈ range (@pred α _ _) := by
   cases' not_is_pred_limit_iff.1 h with b hb; exact ⟨b, hb.2⟩
 #align order.mem_range_pred_of_not_is_pred_limit Order.mem_range_pred_of_not_isPredLimit
+-/
 
+#print Order.isPredLimit_of_pred_lt /-
 theorem isPredLimit_of_pred_lt (H : ∀ a > b, pred a < b) : IsPredLimit b := fun a hab =>
   (H a hab.lt).Ne hab.pred_eq
 #align order.is_pred_limit_of_pred_lt Order.isPredLimit_of_pred_lt
+-/
 
+#print Order.IsPredLimit.lt_pred /-
 theorem IsPredLimit.lt_pred (h : IsPredLimit a) : a < b → a < pred b :=
   h.dual.succ_lt
 #align order.is_pred_limit.lt_pred Order.IsPredLimit.lt_pred
+-/
 
+#print Order.IsPredLimit.lt_pred_iff /-
 theorem IsPredLimit.lt_pred_iff (h : IsPredLimit a) : a < pred b ↔ a < b :=
   h.dual.succ_lt_iff
 #align order.is_pred_limit.lt_pred_iff Order.IsPredLimit.lt_pred_iff
+-/
 
+#print Order.isPredLimit_iff_lt_pred /-
 theorem isPredLimit_iff_lt_pred : IsPredLimit a ↔ ∀ ⦃b⦄, a < b → a < pred b :=
   isSuccLimit_toDual_iff.symm.trans isSuccLimit_iff_succ_lt
 #align order.is_pred_limit_iff_lt_pred Order.isPredLimit_iff_lt_pred
+-/
 
+#print Order.isPredLimitRecOn /-
 /-- A value can be built by building it on predecessors and predecessor limits. -/
 @[elab_as_elim]
 noncomputable def isPredLimitRecOn (b : α) (hs : ∀ a, ¬IsMin a → C (pred a))
     (hl : ∀ a, IsPredLimit a → C a) : C b :=
   @isSuccLimitRecOn αᵒᵈ _ _ _ _ hs fun a ha => hl _ ha.dual
 #align order.is_pred_limit_rec_on Order.isPredLimitRecOn
+-/
 
 theorem isPredLimitRecOn_limit (hs : ∀ a, ¬IsMin a → C (pred a)) (hl : ∀ a, IsPredLimit a → C a)
     (hb : IsPredLimit b) : @isPredLimitRecOn α _ _ C b hs hl = hl b hb :=
@@ -413,17 +487,23 @@ section IsPredArchimedean
 
 variable [IsPredArchimedean α]
 
+#print Order.IsPredLimit.isMax /-
 protected theorem IsPredLimit.isMax (h : IsPredLimit a) : IsMax a :=
   h.dual.IsMin
 #align order.is_pred_limit.is_max Order.IsPredLimit.isMax
+-/
 
+#print Order.isPredLimit_iff /-
 @[simp]
 theorem isPredLimit_iff : IsPredLimit a ↔ IsMax a :=
   isSuccLimit_toDual_iff.symm.trans isSuccLimit_iff
 #align order.is_pred_limit_iff Order.isPredLimit_iff
+-/
 
+#print Order.not_isPredLimit /-
 theorem not_isPredLimit [NoMaxOrder α] : ¬IsPredLimit a := by simp
 #align order.not_is_pred_limit Order.not_isPredLimit
+-/
 
 end IsPredArchimedean
 
Diff
@@ -68,44 +68,20 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
-/- warning: is_min.is_succ_limit -> IsMin.isSuccLimit is a dubious translation:
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align is_min.is_succ_limit IsMin.isSuccLimitₓ'. -/
 protected theorem IsMin.isSuccLimit : IsMin a → IsSuccLimit a := fun h b hab =>
   not_isMin_of_lt hab.lt h
 #align is_min.is_succ_limit IsMin.isSuccLimit
 
-/- warning: order.is_succ_limit_bot -> Order.isSuccLimit_bot is a dubious translation:
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_bot Order.isSuccLimit_botₓ'. -/
 theorem isSuccLimit_bot [OrderBot α] : IsSuccLimit (⊥ : α) :=
   isMin_bot.IsSuccLimit
 #align order.is_succ_limit_bot Order.isSuccLimit_bot
 
 variable [SuccOrder α]
 
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.is_max Order.IsSuccLimit.isMaxₓ'. -/
 protected theorem IsSuccLimit.isMax (h : IsSuccLimit (succ a)) : IsMax a := by by_contra H;
   exact h a (covby_succ_of_not_is_max H)
 #align order.is_succ_limit.is_max Order.IsSuccLimit.isMax
 
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_succ_of_not_is_max Order.not_isSuccLimit_succ_of_not_isMaxₓ'. -/
 theorem not_isSuccLimit_succ_of_not_isMax (ha : ¬IsMax a) : ¬IsSuccLimit (succ a) := by
   contrapose! ha; exact ha.is_max
 #align order.not_is_succ_limit_succ_of_not_is_max Order.not_isSuccLimit_succ_of_not_isMax
@@ -114,22 +90,10 @@ section NoMaxOrder
 
 variable [NoMaxOrder α]
 
-/- warning: order.is_succ_limit.succ_ne -> Order.IsSuccLimit.succ_ne is a dubious translation:
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.succ_ne Order.IsSuccLimit.succ_neₓ'. -/
 theorem IsSuccLimit.succ_ne (h : IsSuccLimit a) (b : α) : succ b ≠ a := by rintro rfl;
   exact not_isMax _ h.is_max
 #align order.is_succ_limit.succ_ne Order.IsSuccLimit.succ_ne
 
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-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)] (a : α), Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.succ.{u1} α _inst_1 _inst_2 a))
-Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_succ Order.not_isSuccLimit_succₓ'. -/
 @[simp]
 theorem not_isSuccLimit_succ (a : α) : ¬IsSuccLimit (succ a) := fun h => h.succ_ne _ rfl
 #align order.not_is_succ_limit_succ Order.not_isSuccLimit_succ
@@ -140,12 +104,6 @@ section IsSuccArchimedean
 
 variable [IsSuccArchimedean α]
 
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-  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : IsSuccArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a) -> (IsMin.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.is_min_of_no_max Order.IsSuccLimit.isMin_of_noMaxₓ'. -/
 theorem IsSuccLimit.isMin_of_noMax [NoMaxOrder α] (h : IsSuccLimit a) : IsMin a := fun b hb =>
   by
   rcases hb.exists_succ_iterate with ⟨_ | n, rfl⟩
@@ -154,23 +112,11 @@ theorem IsSuccLimit.isMin_of_noMax [NoMaxOrder α] (h : IsSuccLimit a) : IsMin a
     exact (not_is_succ_limit_succ _ h).elim
 #align order.is_succ_limit.is_min_of_no_max Order.IsSuccLimit.isMin_of_noMax
 
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_iff_of_no_max Order.isSuccLimit_iff_of_noMaxₓ'. -/
 @[simp]
 theorem isSuccLimit_iff_of_noMax [NoMaxOrder α] : IsSuccLimit a ↔ IsMin a :=
   ⟨IsSuccLimit.isMin_of_noMax, IsMin.isSuccLimit⟩
 #align order.is_succ_limit_iff_of_no_max Order.isSuccLimit_iff_of_noMax
 
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-  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : IsSuccArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)] [_inst_5 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], Not (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a)
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-Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_of_no_max Order.not_isSuccLimit_of_noMaxₓ'. -/
 theorem not_isSuccLimit_of_noMax [NoMinOrder α] [NoMaxOrder α] : ¬IsSuccLimit a := by simp
 #align order.not_is_succ_limit_of_no_max Order.not_isSuccLimit_of_noMax
 
@@ -182,21 +128,9 @@ section PartialOrder
 
 variable [PartialOrder α] [SuccOrder α] {a b : α} {C : α → Sort _}
 
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_of_succ_ne Order.isSuccLimit_of_succ_neₓ'. -/
 theorem isSuccLimit_of_succ_ne (h : ∀ b, succ b ≠ a) : IsSuccLimit a := fun b hba => h b hba.succ_eq
 #align order.is_succ_limit_of_succ_ne Order.isSuccLimit_of_succ_ne
 
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-Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_iff Order.not_isSuccLimit_iffₓ'. -/
 theorem not_isSuccLimit_iff : ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b = a :=
   by
   rw [not_is_succ_limit_iff_exists_covby]
@@ -205,34 +139,16 @@ theorem not_isSuccLimit_iff : ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b =
   exact covby_succ_of_not_is_max h
 #align order.not_is_succ_limit_iff Order.not_isSuccLimit_iff
 
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-Case conversion may be inaccurate. Consider using '#align order.mem_range_succ_of_not_is_succ_limit Order.mem_range_succ_of_not_isSuccLimitₓ'. -/
 /-- See `not_is_succ_limit_iff` for a version that states that `a` is a successor of a value other
 than itself. -/
 theorem mem_range_succ_of_not_isSuccLimit (h : ¬IsSuccLimit a) : a ∈ range (@succ α _ _) := by
   cases' not_is_succ_limit_iff.1 h with b hb; exact ⟨b, hb.2⟩
 #align order.mem_range_succ_of_not_is_succ_limit Order.mem_range_succ_of_not_isSuccLimit
 
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-Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_of_succ_lt Order.isSuccLimit_of_succ_ltₓ'. -/
 theorem isSuccLimit_of_succ_lt (H : ∀ a < b, succ a < b) : IsSuccLimit b := fun a hab =>
   (H a hab.lt).Ne hab.succ_eq
 #align order.is_succ_limit_of_succ_lt Order.isSuccLimit_of_succ_lt
 
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 theorem IsSuccLimit.succ_lt (hb : IsSuccLimit b) (ha : a < b) : succ a < b :=
   by
   by_cases h : IsMax a
@@ -243,32 +159,14 @@ theorem IsSuccLimit.succ_lt (hb : IsSuccLimit b) (ha : a < b) : succ a < b :=
     exact (h hb.is_max).elim
 #align order.is_succ_limit.succ_lt Order.IsSuccLimit.succ_lt
 
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 theorem IsSuccLimit.succ_lt_iff (hb : IsSuccLimit b) : succ a < b ↔ a < b :=
   ⟨fun h => (le_succ a).trans_lt h, hb.succ_lt⟩
 #align order.is_succ_limit.succ_lt_iff Order.IsSuccLimit.succ_lt_iff
 
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 theorem isSuccLimit_iff_succ_lt : IsSuccLimit b ↔ ∀ a < b, succ a < b :=
   ⟨fun hb a => hb.succ_lt, isSuccLimit_of_succ_lt⟩
 #align order.is_succ_limit_iff_succ_lt Order.isSuccLimit_iff_succ_lt
 
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 /-- A value can be built by building it on successors and successor limits. -/
 @[elab_as_elim]
 noncomputable def isSuccLimitRecOn (b : α) (hs : ∀ a, ¬IsMax a → C (succ a))
@@ -281,23 +179,11 @@ noncomputable def isSuccLimitRecOn (b : α) (hs : ∀ a, ¬IsMax a → C (succ a
     exact hs _ H.1
 #align order.is_succ_limit_rec_on Order.isSuccLimitRecOn
 
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 theorem isSuccLimitRecOn_limit (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a, IsSuccLimit a → C a)
     (hb : IsSuccLimit b) : @isSuccLimitRecOn α _ _ C b hs hl = hl b hb := by
   classical exact dif_pos hb
 #align order.is_succ_limit_rec_on_limit Order.isSuccLimitRecOn_limit
 
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 theorem isSuccLimitRecOn_succ' (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a, IsSuccLimit a → C a)
     {b : α} (hb : ¬IsMax b) : @isSuccLimitRecOn α _ _ C (succ b) hs hl = hs b hb :=
   by
@@ -314,34 +200,16 @@ section NoMaxOrder
 
 variable [NoMaxOrder α]
 
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 @[simp]
 theorem isSuccLimitRecOn_succ (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a, IsSuccLimit a → C a)
     (b : α) : @isSuccLimitRecOn α _ _ C (succ b) hs hl = hs b (not_isMax b) :=
   isSuccLimitRecOn_succ' _ _ _
 #align order.is_succ_limit_rec_on_succ Order.isSuccLimitRecOn_succ
 
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 theorem isSuccLimit_iff_succ_ne : IsSuccLimit a ↔ ∀ b, succ b ≠ a :=
   ⟨IsSuccLimit.succ_ne, isSuccLimit_of_succ_ne⟩
 #align order.is_succ_limit_iff_succ_ne Order.isSuccLimit_iff_succ_ne
 
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 theorem not_isSuccLimit_iff' : ¬IsSuccLimit a ↔ a ∈ range (@succ α _ _) := by
   simp_rw [is_succ_limit_iff_succ_ne, not_forall, not_ne_iff]; rfl
 #align order.not_is_succ_limit_iff' Order.not_isSuccLimit_iff'
@@ -352,12 +220,6 @@ section IsSuccArchimedean
 
 variable [IsSuccArchimedean α]
 
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 protected theorem IsSuccLimit.isMin (h : IsSuccLimit a) : IsMin a := fun b hb =>
   by
   revert h
@@ -367,23 +229,11 @@ protected theorem IsSuccLimit.isMin (h : IsSuccLimit a) : IsMin a := fun b hb =>
   exact H hc
 #align order.is_succ_limit.is_min Order.IsSuccLimit.isMin
 
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 @[simp]
 theorem isSuccLimit_iff : IsSuccLimit a ↔ IsMin a :=
   ⟨IsSuccLimit.isMin, IsMin.isSuccLimit⟩
 #align order.is_succ_limit_iff Order.isSuccLimit_iff
 
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 theorem not_isSuccLimit [NoMinOrder α] : ¬IsSuccLimit a := by simp
 #align order.not_is_succ_limit Order.not_isSuccLimit
 
@@ -445,44 +295,20 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
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-Case conversion may be inaccurate. Consider using '#align is_max.is_pred_limit IsMax.isPredLimitₓ'. -/
 protected theorem IsMax.isPredLimit : IsMax a → IsPredLimit a := fun h b hab =>
   not_isMax_of_lt hab.lt h
 #align is_max.is_pred_limit IsMax.isPredLimit
 
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_top Order.isPredLimit_topₓ'. -/
 theorem isPredLimit_top [OrderTop α] : IsPredLimit (⊤ : α) :=
   isMax_top.IsPredLimit
 #align order.is_pred_limit_top Order.isPredLimit_top
 
 variable [PredOrder α]
 
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-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1], (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a)) -> (IsMin.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.is_min Order.IsPredLimit.isMinₓ'. -/
 protected theorem IsPredLimit.isMin (h : IsPredLimit (pred a)) : IsMin a := by by_contra H;
   exact h a (pred_covby_of_not_is_min H)
 #align order.is_pred_limit.is_min Order.IsPredLimit.isMin
 
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-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1], (Not (IsMin.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)) -> (Not (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a)))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_pred_of_not_is_min Order.not_isPredLimit_pred_of_not_isMinₓ'. -/
 theorem not_isPredLimit_pred_of_not_isMin (ha : ¬IsMin a) : ¬IsPredLimit (pred a) := by
   contrapose! ha; exact ha.is_min
 #align order.not_is_pred_limit_pred_of_not_is_min Order.not_isPredLimit_pred_of_not_isMin
@@ -491,22 +317,10 @@ section NoMinOrder
 
 variable [NoMinOrder α]
 
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.pred_ne Order.IsPredLimit.pred_neₓ'. -/
 theorem IsPredLimit.pred_ne (h : IsPredLimit a) (b : α) : pred b ≠ a := by rintro rfl;
   exact not_isMin _ h.is_min
 #align order.is_pred_limit.pred_ne Order.IsPredLimit.pred_ne
 
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-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)] (a : α), Not (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_pred Order.not_isPredLimit_predₓ'. -/
 @[simp]
 theorem not_isPredLimit_pred (a : α) : ¬IsPredLimit (pred a) := fun h => h.pred_ne _ rfl
 #align order.not_is_pred_limit_pred Order.not_isPredLimit_pred
@@ -517,33 +331,15 @@ section IsPredArchimedean
 
 variable [IsPredArchimedean α]
 
-/- warning: order.is_pred_limit.is_max_of_no_min -> Order.IsPredLimit.isMax_of_noMin is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : IsPredArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a) -> (IsMax.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.is_max_of_no_min Order.IsPredLimit.isMax_of_noMinₓ'. -/
 protected theorem IsPredLimit.isMax_of_noMin [NoMinOrder α] (h : IsPredLimit a) : IsMax a :=
   h.dual.isMin_of_noMax
 #align order.is_pred_limit.is_max_of_no_min Order.IsPredLimit.isMax_of_noMin
 
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_iff_of_no_min Order.isPredLimit_iff_of_noMinₓ'. -/
 @[simp]
 theorem isPredLimit_iff_of_noMin [NoMinOrder α] : IsPredLimit a ↔ IsMax a :=
   isSuccLimit_toDual_iff.symm.trans isSuccLimit_iff_of_noMax
 #align order.is_pred_limit_iff_of_no_min Order.isPredLimit_iff_of_noMin
 
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-Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_of_no_min Order.not_isPredLimit_of_noMinₓ'. -/
 theorem not_isPredLimit_of_noMin [NoMinOrder α] [NoMaxOrder α] : ¬IsPredLimit a := by simp
 #align order.not_is_pred_limit_of_no_min Order.not_isPredLimit_of_noMin
 
@@ -555,83 +351,35 @@ section PartialOrder
 
 variable [PartialOrder α] [PredOrder α] {a b : α} {C : α → Sort _}
 
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_of_pred_ne Order.isPredLimit_of_pred_neₓ'. -/
 theorem isPredLimit_of_pred_ne (h : ∀ b, pred b ≠ a) : IsPredLimit a := fun b hba => h b hba.pred_eq
 #align order.is_pred_limit_of_pred_ne Order.isPredLimit_of_pred_ne
 
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-Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_iff Order.not_isPredLimit_iffₓ'. -/
 theorem not_isPredLimit_iff : ¬IsPredLimit a ↔ ∃ b, ¬IsMin b ∧ pred b = a := by
   rw [← is_succ_limit_to_dual_iff]; exact not_is_succ_limit_iff
 #align order.not_is_pred_limit_iff Order.not_isPredLimit_iff
 
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-Case conversion may be inaccurate. Consider using '#align order.mem_range_pred_of_not_is_pred_limit Order.mem_range_pred_of_not_isPredLimitₓ'. -/
 /-- See `not_is_pred_limit_iff` for a version that states that `a` is a successor of a value other
 than itself. -/
 theorem mem_range_pred_of_not_isPredLimit (h : ¬IsPredLimit a) : a ∈ range (@pred α _ _) := by
   cases' not_is_pred_limit_iff.1 h with b hb; exact ⟨b, hb.2⟩
 #align order.mem_range_pred_of_not_is_pred_limit Order.mem_range_pred_of_not_isPredLimit
 
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_of_pred_lt Order.isPredLimit_of_pred_ltₓ'. -/
 theorem isPredLimit_of_pred_lt (H : ∀ a > b, pred a < b) : IsPredLimit b := fun a hab =>
   (H a hab.lt).Ne hab.pred_eq
 #align order.is_pred_limit_of_pred_lt Order.isPredLimit_of_pred_lt
 
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.lt_pred Order.IsPredLimit.lt_predₓ'. -/
 theorem IsPredLimit.lt_pred (h : IsPredLimit a) : a < b → a < pred b :=
   h.dual.succ_lt
 #align order.is_pred_limit.lt_pred Order.IsPredLimit.lt_pred
 
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.lt_pred_iff Order.IsPredLimit.lt_pred_iffₓ'. -/
 theorem IsPredLimit.lt_pred_iff (h : IsPredLimit a) : a < pred b ↔ a < b :=
   h.dual.succ_lt_iff
 #align order.is_pred_limit.lt_pred_iff Order.IsPredLimit.lt_pred_iff
 
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_iff_lt_pred Order.isPredLimit_iff_lt_predₓ'. -/
 theorem isPredLimit_iff_lt_pred : IsPredLimit a ↔ ∀ ⦃b⦄, a < b → a < pred b :=
   isSuccLimit_toDual_iff.symm.trans isSuccLimit_iff_succ_lt
 #align order.is_pred_limit_iff_lt_pred Order.isPredLimit_iff_lt_pred
 
-/- warning: order.is_pred_limit_rec_on -> Order.isPredLimitRecOn is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_rec_on Order.isPredLimitRecOnₓ'. -/
 /-- A value can be built by building it on predecessors and predecessor limits. -/
 @[elab_as_elim]
 noncomputable def isPredLimitRecOn (b : α) (hs : ∀ a, ¬IsMin a → C (pred a))
@@ -639,23 +387,11 @@ noncomputable def isPredLimitRecOn (b : α) (hs : ∀ a, ¬IsMin a → C (pred a
   @isSuccLimitRecOn αᵒᵈ _ _ _ _ hs fun a ha => hl _ ha.dual
 #align order.is_pred_limit_rec_on Order.isPredLimitRecOn
 
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_rec_on_limit Order.isPredLimitRecOn_limitₓ'. -/
 theorem isPredLimitRecOn_limit (hs : ∀ a, ¬IsMin a → C (pred a)) (hl : ∀ a, IsPredLimit a → C a)
     (hb : IsPredLimit b) : @isPredLimitRecOn α _ _ C b hs hl = hl b hb :=
   isSuccLimitRecOn_limit _ _ hb.dual
 #align order.is_pred_limit_rec_on_limit Order.isPredLimitRecOn_limit
 
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_rec_on_pred' Order.isPredLimitRecOn_pred'ₓ'. -/
 theorem isPredLimitRecOn_pred' (hs : ∀ a, ¬IsMin a → C (pred a)) (hl : ∀ a, IsPredLimit a → C a)
     {b : α} (hb : ¬IsMin b) : @isPredLimitRecOn α _ _ C (pred b) hs hl = hs b hb :=
   isSuccLimitRecOn_succ' _ _ _
@@ -665,12 +401,6 @@ section NoMinOrder
 
 variable [NoMinOrder α]
 
-/- warning: order.is_pred_limit_rec_on_pred -> Order.isPredLimitRecOn_pred is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} [_inst_3 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))] (hs : forall (a : α), (Not (IsMin.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) (b : α), Eq.{u2} (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (Order.isPredLimitRecOn.{u1, u2} α _inst_1 _inst_2 C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) hs hl) (hs b (not_isMin.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_3 b))
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_rec_on_pred Order.isPredLimitRecOn_predₓ'. -/
 @[simp]
 theorem isPredLimitRecOn_pred (hs : ∀ a, ¬IsMin a → C (pred a)) (hl : ∀ a, IsPredLimit a → C a)
     (b : α) : @isPredLimitRecOn α _ _ C (pred b) hs hl = hs b (not_isMin b) :=
@@ -683,33 +413,15 @@ section IsPredArchimedean
 
 variable [IsPredArchimedean α]
 
-/- warning: order.is_pred_limit.is_max -> Order.IsPredLimit.isMax is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (IsMax.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.is_max Order.IsPredLimit.isMaxₓ'. -/
 protected theorem IsPredLimit.isMax (h : IsPredLimit a) : IsMax a :=
   h.dual.IsMin
 #align order.is_pred_limit.is_max Order.IsPredLimit.isMax
 
-/- warning: order.is_pred_limit_iff -> Order.isPredLimit_iff is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], Iff (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_iff Order.isPredLimit_iffₓ'. -/
 @[simp]
 theorem isPredLimit_iff : IsPredLimit a ↔ IsMax a :=
   isSuccLimit_toDual_iff.symm.trans isSuccLimit_iff
 #align order.is_pred_limit_iff Order.isPredLimit_iff
 
-/- warning: order.not_is_pred_limit -> Order.not_isPredLimit is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2] [_inst_4 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Not (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2] [_inst_4 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Not (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
-Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit Order.not_isPredLimitₓ'. -/
 theorem not_isPredLimit [NoMaxOrder α] : ¬IsPredLimit a := by simp
 #align order.not_is_pred_limit Order.not_isPredLimit
 
Diff
@@ -96,9 +96,7 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1], (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.succ.{u1} α _inst_1 _inst_2 a)) -> (IsMax.{u1} α (Preorder.toLE.{u1} α _inst_1) a)
 Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.is_max Order.IsSuccLimit.isMaxₓ'. -/
-protected theorem IsSuccLimit.isMax (h : IsSuccLimit (succ a)) : IsMax a :=
-  by
-  by_contra H
+protected theorem IsSuccLimit.isMax (h : IsSuccLimit (succ a)) : IsMax a := by by_contra H;
   exact h a (covby_succ_of_not_is_max H)
 #align order.is_succ_limit.is_max Order.IsSuccLimit.isMax
 
@@ -108,10 +106,8 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1], (Not (IsMax.{u1} α (Preorder.toLE.{u1} α _inst_1) a)) -> (Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.succ.{u1} α _inst_1 _inst_2 a)))
 Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_succ_of_not_is_max Order.not_isSuccLimit_succ_of_not_isMaxₓ'. -/
-theorem not_isSuccLimit_succ_of_not_isMax (ha : ¬IsMax a) : ¬IsSuccLimit (succ a) :=
-  by
-  contrapose! ha
-  exact ha.is_max
+theorem not_isSuccLimit_succ_of_not_isMax (ha : ¬IsMax a) : ¬IsSuccLimit (succ a) := by
+  contrapose! ha; exact ha.is_max
 #align order.not_is_succ_limit_succ_of_not_is_max Order.not_isSuccLimit_succ_of_not_isMax
 
 section NoMaxOrder
@@ -124,9 +120,7 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a) -> (forall (b : α), Ne.{succ u1} α (Order.succ.{u1} α _inst_1 _inst_2 b) a)
 Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.succ_ne Order.IsSuccLimit.succ_neₓ'. -/
-theorem IsSuccLimit.succ_ne (h : IsSuccLimit a) (b : α) : succ b ≠ a :=
-  by
-  rintro rfl
+theorem IsSuccLimit.succ_ne (h : IsSuccLimit a) (b : α) : succ b ≠ a := by rintro rfl;
   exact not_isMax _ h.is_max
 #align order.is_succ_limit.succ_ne Order.IsSuccLimit.succ_ne
 
@@ -219,10 +213,8 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align order.mem_range_succ_of_not_is_succ_limit Order.mem_range_succ_of_not_isSuccLimitₓ'. -/
 /-- See `not_is_succ_limit_iff` for a version that states that `a` is a successor of a value other
 than itself. -/
-theorem mem_range_succ_of_not_isSuccLimit (h : ¬IsSuccLimit a) : a ∈ range (@succ α _ _) :=
-  by
-  cases' not_is_succ_limit_iff.1 h with b hb
-  exact ⟨b, hb.2⟩
+theorem mem_range_succ_of_not_isSuccLimit (h : ¬IsSuccLimit a) : a ∈ range (@succ α _ _) := by
+  cases' not_is_succ_limit_iff.1 h with b hb; exact ⟨b, hb.2⟩
 #align order.mem_range_succ_of_not_is_succ_limit Order.mem_range_succ_of_not_isSuccLimit
 
 /- warning: order.is_succ_limit_of_succ_lt -> Order.isSuccLimit_of_succ_lt is a dubious translation:
@@ -350,10 +342,8 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Iff (Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) (Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) a (Set.range.{u1, succ u1} α α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2)))
 Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_iff' Order.not_isSuccLimit_iff'ₓ'. -/
-theorem not_isSuccLimit_iff' : ¬IsSuccLimit a ↔ a ∈ range (@succ α _ _) :=
-  by
-  simp_rw [is_succ_limit_iff_succ_ne, not_forall, not_ne_iff]
-  rfl
+theorem not_isSuccLimit_iff' : ¬IsSuccLimit a ↔ a ∈ range (@succ α _ _) := by
+  simp_rw [is_succ_limit_iff_succ_ne, not_forall, not_ne_iff]; rfl
 #align order.not_is_succ_limit_iff' Order.not_isSuccLimit_iff'
 
 end NoMaxOrder
@@ -483,9 +473,7 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1], (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a)) -> (IsMin.{u1} α (Preorder.toLE.{u1} α _inst_1) a)
 Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.is_min Order.IsPredLimit.isMinₓ'. -/
-protected theorem IsPredLimit.isMin (h : IsPredLimit (pred a)) : IsMin a :=
-  by
-  by_contra H
+protected theorem IsPredLimit.isMin (h : IsPredLimit (pred a)) : IsMin a := by by_contra H;
   exact h a (pred_covby_of_not_is_min H)
 #align order.is_pred_limit.is_min Order.IsPredLimit.isMin
 
@@ -495,10 +483,8 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1], (Not (IsMin.{u1} α (Preorder.toLE.{u1} α _inst_1) a)) -> (Not (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a)))
 Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_pred_of_not_is_min Order.not_isPredLimit_pred_of_not_isMinₓ'. -/
-theorem not_isPredLimit_pred_of_not_isMin (ha : ¬IsMin a) : ¬IsPredLimit (pred a) :=
-  by
-  contrapose! ha
-  exact ha.is_min
+theorem not_isPredLimit_pred_of_not_isMin (ha : ¬IsMin a) : ¬IsPredLimit (pred a) := by
+  contrapose! ha; exact ha.is_min
 #align order.not_is_pred_limit_pred_of_not_is_min Order.not_isPredLimit_pred_of_not_isMin
 
 section NoMinOrder
@@ -511,9 +497,7 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : NoMinOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a) -> (forall (b : α), Ne.{succ u1} α (Order.pred.{u1} α _inst_1 _inst_2 b) a)
 Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.pred_ne Order.IsPredLimit.pred_neₓ'. -/
-theorem IsPredLimit.pred_ne (h : IsPredLimit a) (b : α) : pred b ≠ a :=
-  by
-  rintro rfl
+theorem IsPredLimit.pred_ne (h : IsPredLimit a) (b : α) : pred b ≠ a := by rintro rfl;
   exact not_isMin _ h.is_min
 #align order.is_pred_limit.pred_ne Order.IsPredLimit.pred_ne
 
@@ -586,10 +570,8 @@ lean 3 declaration is
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, Iff (Not (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) (Exists.{succ u1} α (fun (b : α) => And (Not (IsMin.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)) (Eq.{succ u1} α (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a)))
 Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_iff Order.not_isPredLimit_iffₓ'. -/
-theorem not_isPredLimit_iff : ¬IsPredLimit a ↔ ∃ b, ¬IsMin b ∧ pred b = a :=
-  by
-  rw [← is_succ_limit_to_dual_iff]
-  exact not_is_succ_limit_iff
+theorem not_isPredLimit_iff : ¬IsPredLimit a ↔ ∃ b, ¬IsMin b ∧ pred b = a := by
+  rw [← is_succ_limit_to_dual_iff]; exact not_is_succ_limit_iff
 #align order.not_is_pred_limit_iff Order.not_isPredLimit_iff
 
 /- warning: order.mem_range_pred_of_not_is_pred_limit -> Order.mem_range_pred_of_not_isPredLimit is a dubious translation:
@@ -600,10 +582,8 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align order.mem_range_pred_of_not_is_pred_limit Order.mem_range_pred_of_not_isPredLimitₓ'. -/
 /-- See `not_is_pred_limit_iff` for a version that states that `a` is a successor of a value other
 than itself. -/
-theorem mem_range_pred_of_not_isPredLimit (h : ¬IsPredLimit a) : a ∈ range (@pred α _ _) :=
-  by
-  cases' not_is_pred_limit_iff.1 h with b hb
-  exact ⟨b, hb.2⟩
+theorem mem_range_pred_of_not_isPredLimit (h : ¬IsPredLimit a) : a ∈ range (@pred α _ _) := by
+  cases' not_is_pred_limit_iff.1 h with b hb; exact ⟨b, hb.2⟩
 #align order.mem_range_pred_of_not_is_pred_limit Order.mem_range_pred_of_not_isPredLimit
 
 /- warning: order.is_pred_limit_of_pred_lt -> Order.isPredLimit_of_pred_lt is a dubious translation:
Diff
@@ -68,15 +68,19 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
-#print IsMin.isSuccLimit /-
+/- warning: is_min.is_succ_limit -> IsMin.isSuccLimit is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α}, (IsMin.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a) -> (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α}, (IsMin.{u1} α (Preorder.toLE.{u1} α _inst_1) a) -> (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align is_min.is_succ_limit IsMin.isSuccLimitₓ'. -/
 protected theorem IsMin.isSuccLimit : IsMin a → IsSuccLimit a := fun h b hab =>
   not_isMin_of_lt hab.lt h
 #align is_min.is_succ_limit IsMin.isSuccLimit
--/
 
 /- warning: order.is_succ_limit_bot -> Order.isSuccLimit_bot is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : OrderBot.{u1} α (Preorder.toLE.{u1} α _inst_1)], Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Bot.bot.{u1} α (OrderBot.toHasBot.{u1} α (Preorder.toLE.{u1} α _inst_1) _inst_2))
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : OrderBot.{u1} α (Preorder.toHasLe.{u1} α _inst_1)], Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Bot.bot.{u1} α (OrderBot.toHasBot.{u1} α (Preorder.toHasLe.{u1} α _inst_1) _inst_2))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : OrderBot.{u1} α (Preorder.toLE.{u1} α _inst_1)], Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Bot.bot.{u1} α (OrderBot.toBot.{u1} α (Preorder.toLE.{u1} α _inst_1) _inst_2))
 Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_bot Order.isSuccLimit_botₓ'. -/
@@ -86,39 +90,55 @@ theorem isSuccLimit_bot [OrderBot α] : IsSuccLimit (⊥ : α) :=
 
 variable [SuccOrder α]
 
-#print Order.IsSuccLimit.isMax /-
+/- warning: order.is_succ_limit.is_max -> Order.IsSuccLimit.isMax is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1], (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Order.succ.{u1} α _inst_1 _inst_2 a)) -> (IsMax.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1], (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.succ.{u1} α _inst_1 _inst_2 a)) -> (IsMax.{u1} α (Preorder.toLE.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.is_max Order.IsSuccLimit.isMaxₓ'. -/
 protected theorem IsSuccLimit.isMax (h : IsSuccLimit (succ a)) : IsMax a :=
   by
   by_contra H
   exact h a (covby_succ_of_not_is_max H)
 #align order.is_succ_limit.is_max Order.IsSuccLimit.isMax
--/
 
-#print Order.not_isSuccLimit_succ_of_not_isMax /-
+/- warning: order.not_is_succ_limit_succ_of_not_is_max -> Order.not_isSuccLimit_succ_of_not_isMax is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1], (Not (IsMax.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)) -> (Not (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Order.succ.{u1} α _inst_1 _inst_2 a)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1], (Not (IsMax.{u1} α (Preorder.toLE.{u1} α _inst_1) a)) -> (Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.succ.{u1} α _inst_1 _inst_2 a)))
+Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_succ_of_not_is_max Order.not_isSuccLimit_succ_of_not_isMaxₓ'. -/
 theorem not_isSuccLimit_succ_of_not_isMax (ha : ¬IsMax a) : ¬IsSuccLimit (succ a) :=
   by
   contrapose! ha
   exact ha.is_max
 #align order.not_is_succ_limit_succ_of_not_is_max Order.not_isSuccLimit_succ_of_not_isMax
--/
 
 section NoMaxOrder
 
 variable [NoMaxOrder α]
 
-#print Order.IsSuccLimit.succ_ne /-
+/- warning: order.is_succ_limit.succ_ne -> Order.IsSuccLimit.succ_ne is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a) -> (forall (b : α), Ne.{succ u1} α (Order.succ.{u1} α _inst_1 _inst_2 b) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a) -> (forall (b : α), Ne.{succ u1} α (Order.succ.{u1} α _inst_1 _inst_2 b) a)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.succ_ne Order.IsSuccLimit.succ_neₓ'. -/
 theorem IsSuccLimit.succ_ne (h : IsSuccLimit a) (b : α) : succ b ≠ a :=
   by
   rintro rfl
   exact not_isMax _ h.is_max
 #align order.is_succ_limit.succ_ne Order.IsSuccLimit.succ_ne
--/
 
-#print Order.not_isSuccLimit_succ /-
+/- warning: order.not_is_succ_limit_succ -> Order.not_isSuccLimit_succ is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)] (a : α), Not (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Order.succ.{u1} α _inst_1 _inst_2 a))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)] (a : α), Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.succ.{u1} α _inst_1 _inst_2 a))
+Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_succ Order.not_isSuccLimit_succₓ'. -/
 @[simp]
 theorem not_isSuccLimit_succ (a : α) : ¬IsSuccLimit (succ a) := fun h => h.succ_ne _ rfl
 #align order.not_is_succ_limit_succ Order.not_isSuccLimit_succ
--/
 
 end NoMaxOrder
 
@@ -126,7 +146,12 @@ section IsSuccArchimedean
 
 variable [IsSuccArchimedean α]
 
-#print Order.IsSuccLimit.isMin_of_noMax /-
+/- warning: order.is_succ_limit.is_min_of_no_max -> Order.IsSuccLimit.isMin_of_noMax is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : IsSuccArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a) -> (IsMin.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : IsSuccArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a) -> (IsMin.{u1} α (Preorder.toLE.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.is_min_of_no_max Order.IsSuccLimit.isMin_of_noMaxₓ'. -/
 theorem IsSuccLimit.isMin_of_noMax [NoMaxOrder α] (h : IsSuccLimit a) : IsMin a := fun b hb =>
   by
   rcases hb.exists_succ_iterate with ⟨_ | n, rfl⟩
@@ -134,19 +159,26 @@ theorem IsSuccLimit.isMin_of_noMax [NoMaxOrder α] (h : IsSuccLimit a) : IsMin a
   · rw [iterate_succ_apply'] at h
     exact (not_is_succ_limit_succ _ h).elim
 #align order.is_succ_limit.is_min_of_no_max Order.IsSuccLimit.isMin_of_noMax
--/
 
-#print Order.isSuccLimit_iff_of_noMax /-
+/- warning: order.is_succ_limit_iff_of_no_max -> Order.isSuccLimit_iff_of_noMax is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : IsSuccArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], Iff (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a) (IsMin.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : IsSuccArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], Iff (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a) (IsMin.{u1} α (Preorder.toLE.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_iff_of_no_max Order.isSuccLimit_iff_of_noMaxₓ'. -/
 @[simp]
 theorem isSuccLimit_iff_of_noMax [NoMaxOrder α] : IsSuccLimit a ↔ IsMin a :=
   ⟨IsSuccLimit.isMin_of_noMax, IsMin.isSuccLimit⟩
 #align order.is_succ_limit_iff_of_no_max Order.isSuccLimit_iff_of_noMax
--/
 
-#print Order.not_isSuccLimit_of_noMax /-
+/- warning: order.not_is_succ_limit_of_no_max -> Order.not_isSuccLimit_of_noMax is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : IsSuccArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)] [_inst_5 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], Not (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : SuccOrder.{u1} α _inst_1] [_inst_3 : IsSuccArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)] [_inst_5 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_of_no_max Order.not_isSuccLimit_of_noMaxₓ'. -/
 theorem not_isSuccLimit_of_noMax [NoMinOrder α] [NoMaxOrder α] : ¬IsSuccLimit a := by simp
 #align order.not_is_succ_limit_of_no_max Order.not_isSuccLimit_of_noMax
--/
 
 end IsSuccArchimedean
 
@@ -156,12 +188,21 @@ section PartialOrder
 
 variable [PartialOrder α] [SuccOrder α] {a b : α} {C : α → Sort _}
 
-#print Order.isSuccLimit_of_succ_ne /-
+/- warning: order.is_succ_limit_of_succ_ne -> Order.isSuccLimit_of_succ_ne is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, (forall (b : α), Ne.{succ u1} α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a) -> (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, (forall (b : α), Ne.{succ u1} α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a) -> (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_of_succ_ne Order.isSuccLimit_of_succ_neₓ'. -/
 theorem isSuccLimit_of_succ_ne (h : ∀ b, succ b ≠ a) : IsSuccLimit a := fun b hba => h b hba.succ_eq
 #align order.is_succ_limit_of_succ_ne Order.isSuccLimit_of_succ_ne
--/
 
-#print Order.not_isSuccLimit_iff /-
+/- warning: order.not_is_succ_limit_iff -> Order.not_isSuccLimit_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, Iff (Not (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) (Exists.{succ u1} α (fun (b : α) => And (Not (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)) (Eq.{succ u1} α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, Iff (Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) (Exists.{succ u1} α (fun (b : α) => And (Not (IsMax.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)) (Eq.{succ u1} α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a)))
+Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_iff Order.not_isSuccLimit_iffₓ'. -/
 theorem not_isSuccLimit_iff : ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b = a :=
   by
   rw [not_is_succ_limit_iff_exists_covby]
@@ -169,9 +210,13 @@ theorem not_isSuccLimit_iff : ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b =
   rintro ⟨h, rfl⟩
   exact covby_succ_of_not_is_max h
 #align order.not_is_succ_limit_iff Order.not_isSuccLimit_iff
--/
 
-#print Order.mem_range_succ_of_not_isSuccLimit /-
+/- warning: order.mem_range_succ_of_not_is_succ_limit -> Order.mem_range_succ_of_not_isSuccLimit is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, (Not (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) a (Set.range.{u1, succ u1} α α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, (Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) a (Set.range.{u1, succ u1} α α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2)))
+Case conversion may be inaccurate. Consider using '#align order.mem_range_succ_of_not_is_succ_limit Order.mem_range_succ_of_not_isSuccLimitₓ'. -/
 /-- See `not_is_succ_limit_iff` for a version that states that `a` is a successor of a value other
 than itself. -/
 theorem mem_range_succ_of_not_isSuccLimit (h : ¬IsSuccLimit a) : a ∈ range (@succ α _ _) :=
@@ -179,15 +224,23 @@ theorem mem_range_succ_of_not_isSuccLimit (h : ¬IsSuccLimit a) : a ∈ range (@
   cases' not_is_succ_limit_iff.1 h with b hb
   exact ⟨b, hb.2⟩
 #align order.mem_range_succ_of_not_is_succ_limit Order.mem_range_succ_of_not_isSuccLimit
--/
 
-#print Order.isSuccLimit_of_succ_lt /-
+/- warning: order.is_succ_limit_of_succ_lt -> Order.isSuccLimit_of_succ_lt is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α}, (forall (a : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b)) -> (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α}, (forall (a : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b)) -> (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_of_succ_lt Order.isSuccLimit_of_succ_ltₓ'. -/
 theorem isSuccLimit_of_succ_lt (H : ∀ a < b, succ a < b) : IsSuccLimit b := fun a hab =>
   (H a hab.lt).Ne hab.succ_eq
 #align order.is_succ_limit_of_succ_lt Order.isSuccLimit_of_succ_lt
--/
 
-#print Order.IsSuccLimit.succ_lt /-
+/- warning: order.is_succ_limit.succ_lt -> Order.IsSuccLimit.succ_lt is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} {b : α}, (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b) -> (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} {b : α}, (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b) -> (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.succ_lt Order.IsSuccLimit.succ_ltₓ'. -/
 theorem IsSuccLimit.succ_lt (hb : IsSuccLimit b) (ha : a < b) : succ a < b :=
   by
   by_cases h : IsMax a
@@ -197,21 +250,33 @@ theorem IsSuccLimit.succ_lt (hb : IsSuccLimit b) (ha : a < b) : succ a < b :=
     subst hab
     exact (h hb.is_max).elim
 #align order.is_succ_limit.succ_lt Order.IsSuccLimit.succ_lt
--/
 
-#print Order.IsSuccLimit.succ_lt_iff /-
+/- warning: order.is_succ_limit.succ_lt_iff -> Order.IsSuccLimit.succ_lt_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} {b : α}, (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b) -> (Iff (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b) (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} {b : α}, (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b) -> (Iff (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b) (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b))
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.succ_lt_iff Order.IsSuccLimit.succ_lt_iffₓ'. -/
 theorem IsSuccLimit.succ_lt_iff (hb : IsSuccLimit b) : succ a < b ↔ a < b :=
   ⟨fun h => (le_succ a).trans_lt h, hb.succ_lt⟩
 #align order.is_succ_limit.succ_lt_iff Order.IsSuccLimit.succ_lt_iff
--/
 
-#print Order.isSuccLimit_iff_succ_lt /-
+/- warning: order.is_succ_limit_iff_succ_lt -> Order.isSuccLimit_iff_succ_lt is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α}, Iff (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b) (forall (a : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α}, Iff (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b) (forall (a : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b))
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_iff_succ_lt Order.isSuccLimit_iff_succ_ltₓ'. -/
 theorem isSuccLimit_iff_succ_lt : IsSuccLimit b ↔ ∀ a < b, succ a < b :=
   ⟨fun hb a => hb.succ_lt, isSuccLimit_of_succ_lt⟩
 #align order.is_succ_limit_iff_succ_lt Order.isSuccLimit_iff_succ_lt
--/
 
-#print Order.isSuccLimitRecOn /-
+/- warning: order.is_succ_limit_rec_on -> Order.isSuccLimitRecOn is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} (b : α), (forall (a : α), (Not (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) -> (forall (a : α), (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) -> (C b)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} (b : α), (forall (a : α), (Not (IsMax.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) -> (forall (a : α), (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) -> (C b)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_rec_on Order.isSuccLimitRecOnₓ'. -/
 /-- A value can be built by building it on successors and successor limits. -/
 @[elab_as_elim]
 noncomputable def isSuccLimitRecOn (b : α) (hs : ∀ a, ¬IsMax a → C (succ a))
@@ -223,11 +288,10 @@ noncomputable def isSuccLimitRecOn (b : α) (hs : ∀ a, ¬IsMax a → C (succ a
     rw [← H.2]
     exact hs _ H.1
 #align order.is_succ_limit_rec_on Order.isSuccLimitRecOn
--/
 
 /- warning: order.is_succ_limit_rec_on_limit -> Order.isSuccLimitRecOn_limit is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α} {C : α -> Sort.{u2}} (hs : forall (a : α), (Not (IsMax.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) (hb : Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b), Eq.{u2} (C b) (Order.isSuccLimitRecOn.{u1, u2} α _inst_1 _inst_2 C b hs hl) (hl b hb)
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α} {C : α -> Sort.{u2}} (hs : forall (a : α), (Not (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) (hb : Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b), Eq.{u2} (C b) (Order.isSuccLimitRecOn.{u1, u2} α _inst_1 _inst_2 C b hs hl) (hl b hb)
 but is expected to have type
   forall {α : Type.{u2}} [_inst_1 : PartialOrder.{u2} α] [_inst_2 : SuccOrder.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)] {b : α} {C : α -> Sort.{u1}} (hs : forall (a : α), (Not (IsMax.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a)) -> (C (Order.succ.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsSuccLimit.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a) -> (C a)) (hb : Order.IsSuccLimit.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) b), Eq.{u1} (C b) (Order.isSuccLimitRecOn.{u2, u1} α _inst_1 _inst_2 C b hs hl) (hl b hb)
 Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_rec_on_limit Order.isSuccLimitRecOn_limitₓ'. -/
@@ -238,7 +302,7 @@ theorem isSuccLimitRecOn_limit (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀
 
 /- warning: order.is_succ_limit_rec_on_succ' -> Order.isSuccLimitRecOn_succ' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} (hs : forall (a : α), (Not (IsMax.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) {b : α} (hb : Not (IsMax.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)), Eq.{u2} (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (Order.isSuccLimitRecOn.{u1, u2} α _inst_1 _inst_2 C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) hs hl) (hs b hb)
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} (hs : forall (a : α), (Not (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) {b : α} (hb : Not (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)), Eq.{u2} (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (Order.isSuccLimitRecOn.{u1, u2} α _inst_1 _inst_2 C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) hs hl) (hs b hb)
 but is expected to have type
   forall {α : Type.{u2}} [_inst_1 : PartialOrder.{u2} α] [_inst_2 : SuccOrder.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)] {C : α -> Sort.{u1}} (hs : forall (a : α), (Not (IsMax.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a)) -> (C (Order.succ.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsSuccLimit.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a) -> (C a)) {b : α} (hb : Not (IsMax.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) b)), Eq.{u1} (C (Order.succ.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 b)) (Order.isSuccLimitRecOn.{u2, u1} α _inst_1 _inst_2 C (Order.succ.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 b) hs hl) (hs b hb)
 Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_rec_on_succ' Order.isSuccLimitRecOn_succ'ₓ'. -/
@@ -260,7 +324,7 @@ variable [NoMaxOrder α]
 
 /- warning: order.is_succ_limit_rec_on_succ -> Order.isSuccLimitRecOn_succ is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} [_inst_3 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))] (hs : forall (a : α), (Not (IsMax.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) (b : α), Eq.{u2} (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (Order.isSuccLimitRecOn.{u1, u2} α _inst_1 _inst_2 C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) hs hl) (hs b (not_isMax.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_3 b))
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} [_inst_3 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))] (hs : forall (a : α), (Not (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) (b : α), Eq.{u2} (C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (Order.isSuccLimitRecOn.{u1, u2} α _inst_1 _inst_2 C (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) hs hl) (hs b (not_isMax.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_3 b))
 but is expected to have type
   forall {α : Type.{u2}} [_inst_1 : PartialOrder.{u2} α] [_inst_2 : SuccOrder.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)] {C : α -> Sort.{u1}} [_inst_3 : NoMaxOrder.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1))] (hs : forall (a : α), (Not (IsMax.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a)) -> (C (Order.succ.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsSuccLimit.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a) -> (C a)) (b : α), Eq.{u1} (C (Order.succ.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 b)) (Order.isSuccLimitRecOn.{u2, u1} α _inst_1 _inst_2 C (Order.succ.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 b) hs hl) (hs b (not_isMax.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_3 b))
 Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_rec_on_succ Order.isSuccLimitRecOn_succₓ'. -/
@@ -270,19 +334,27 @@ theorem isSuccLimitRecOn_succ (hs : ∀ a, ¬IsMax a → C (succ a)) (hl : ∀ a
   isSuccLimitRecOn_succ' _ _ _
 #align order.is_succ_limit_rec_on_succ Order.isSuccLimitRecOn_succ
 
-#print Order.isSuccLimit_iff_succ_ne /-
+/- warning: order.is_succ_limit_iff_succ_ne -> Order.isSuccLimit_iff_succ_ne is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Iff (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) (forall (b : α), Ne.{succ u1} α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Iff (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) (forall (b : α), Ne.{succ u1} α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_iff_succ_ne Order.isSuccLimit_iff_succ_neₓ'. -/
 theorem isSuccLimit_iff_succ_ne : IsSuccLimit a ↔ ∀ b, succ b ≠ a :=
   ⟨IsSuccLimit.succ_ne, isSuccLimit_of_succ_ne⟩
 #align order.is_succ_limit_iff_succ_ne Order.isSuccLimit_iff_succ_ne
--/
 
-#print Order.not_isSuccLimit_iff' /-
+/- warning: order.not_is_succ_limit_iff' -> Order.not_isSuccLimit_iff' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Iff (Not (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) (Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) a (Set.range.{u1, succ u1} α α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Iff (Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) (Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) a (Set.range.{u1, succ u1} α α (Order.succ.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2)))
+Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit_iff' Order.not_isSuccLimit_iff'ₓ'. -/
 theorem not_isSuccLimit_iff' : ¬IsSuccLimit a ↔ a ∈ range (@succ α _ _) :=
   by
   simp_rw [is_succ_limit_iff_succ_ne, not_forall, not_ne_iff]
   rfl
 #align order.not_is_succ_limit_iff' Order.not_isSuccLimit_iff'
--/
 
 end NoMaxOrder
 
@@ -290,7 +362,12 @@ section IsSuccArchimedean
 
 variable [IsSuccArchimedean α]
 
-#print Order.IsSuccLimit.isMin /-
+/- warning: order.is_succ_limit.is_min -> Order.IsSuccLimit.isMin is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsSuccArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (IsMin.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsSuccArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (IsMin.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit.is_min Order.IsSuccLimit.isMinₓ'. -/
 protected theorem IsSuccLimit.isMin (h : IsSuccLimit a) : IsMin a := fun b hb =>
   by
   revert h
@@ -299,19 +376,26 @@ protected theorem IsSuccLimit.isMin (h : IsSuccLimit a) : IsMin a := fun b hb =>
   rw [this] at hc⊢
   exact H hc
 #align order.is_succ_limit.is_min Order.IsSuccLimit.isMin
--/
 
-#print Order.isSuccLimit_iff /-
+/- warning: order.is_succ_limit_iff -> Order.isSuccLimit_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsSuccArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], Iff (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) (IsMin.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsSuccArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], Iff (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) (IsMin.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+Case conversion may be inaccurate. Consider using '#align order.is_succ_limit_iff Order.isSuccLimit_iffₓ'. -/
 @[simp]
 theorem isSuccLimit_iff : IsSuccLimit a ↔ IsMin a :=
   ⟨IsSuccLimit.isMin, IsMin.isSuccLimit⟩
 #align order.is_succ_limit_iff Order.isSuccLimit_iff
--/
 
-#print Order.not_isSuccLimit /-
+/- warning: order.not_is_succ_limit -> Order.not_isSuccLimit is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsSuccArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Not (Order.IsSuccLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : SuccOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsSuccArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Not (Order.IsSuccLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+Case conversion may be inaccurate. Consider using '#align order.not_is_succ_limit Order.not_isSuccLimitₓ'. -/
 theorem not_isSuccLimit [NoMinOrder α] : ¬IsSuccLimit a := by simp
 #align order.not_is_succ_limit Order.not_isSuccLimit
--/
 
 end IsSuccArchimedean
 
@@ -371,15 +455,19 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
-#print IsMax.isPredLimit /-
+/- warning: is_max.is_pred_limit -> IsMax.isPredLimit is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α}, (IsMax.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a) -> (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α}, (IsMax.{u1} α (Preorder.toLE.{u1} α _inst_1) a) -> (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align is_max.is_pred_limit IsMax.isPredLimitₓ'. -/
 protected theorem IsMax.isPredLimit : IsMax a → IsPredLimit a := fun h b hab =>
   not_isMax_of_lt hab.lt h
 #align is_max.is_pred_limit IsMax.isPredLimit
--/
 
 /- warning: order.is_pred_limit_top -> Order.isPredLimit_top is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : OrderTop.{u1} α (Preorder.toLE.{u1} α _inst_1)], Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Top.top.{u1} α (OrderTop.toHasTop.{u1} α (Preorder.toLE.{u1} α _inst_1) _inst_2))
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : OrderTop.{u1} α (Preorder.toHasLe.{u1} α _inst_1)], Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Top.top.{u1} α (OrderTop.toHasTop.{u1} α (Preorder.toHasLe.{u1} α _inst_1) _inst_2))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : OrderTop.{u1} α (Preorder.toLE.{u1} α _inst_1)], Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Top.top.{u1} α (OrderTop.toTop.{u1} α (Preorder.toLE.{u1} α _inst_1) _inst_2))
 Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_top Order.isPredLimit_topₓ'. -/
@@ -389,39 +477,55 @@ theorem isPredLimit_top [OrderTop α] : IsPredLimit (⊤ : α) :=
 
 variable [PredOrder α]
 
-#print Order.IsPredLimit.isMin /-
+/- warning: order.is_pred_limit.is_min -> Order.IsPredLimit.isMin is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1], (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a)) -> (IsMin.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1], (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a)) -> (IsMin.{u1} α (Preorder.toLE.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.is_min Order.IsPredLimit.isMinₓ'. -/
 protected theorem IsPredLimit.isMin (h : IsPredLimit (pred a)) : IsMin a :=
   by
   by_contra H
   exact h a (pred_covby_of_not_is_min H)
 #align order.is_pred_limit.is_min Order.IsPredLimit.isMin
--/
 
-#print Order.not_isPredLimit_pred_of_not_isMin /-
+/- warning: order.not_is_pred_limit_pred_of_not_is_min -> Order.not_isPredLimit_pred_of_not_isMin is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1], (Not (IsMin.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)) -> (Not (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1], (Not (IsMin.{u1} α (Preorder.toLE.{u1} α _inst_1) a)) -> (Not (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a)))
+Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_pred_of_not_is_min Order.not_isPredLimit_pred_of_not_isMinₓ'. -/
 theorem not_isPredLimit_pred_of_not_isMin (ha : ¬IsMin a) : ¬IsPredLimit (pred a) :=
   by
   contrapose! ha
   exact ha.is_min
 #align order.not_is_pred_limit_pred_of_not_is_min Order.not_isPredLimit_pred_of_not_isMin
--/
 
 section NoMinOrder
 
 variable [NoMinOrder α]
 
-#print Order.IsPredLimit.pred_ne /-
+/- warning: order.is_pred_limit.pred_ne -> Order.IsPredLimit.pred_ne is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a) -> (forall (b : α), Ne.{succ u1} α (Order.pred.{u1} α _inst_1 _inst_2 b) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : NoMinOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a) -> (forall (b : α), Ne.{succ u1} α (Order.pred.{u1} α _inst_1 _inst_2 b) a)
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.pred_ne Order.IsPredLimit.pred_neₓ'. -/
 theorem IsPredLimit.pred_ne (h : IsPredLimit a) (b : α) : pred b ≠ a :=
   by
   rintro rfl
   exact not_isMin _ h.is_min
 #align order.is_pred_limit.pred_ne Order.IsPredLimit.pred_ne
--/
 
-#print Order.not_isPredLimit_pred /-
+/- warning: order.not_is_pred_limit_pred -> Order.not_isPredLimit_pred is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)] (a : α), Not (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : NoMinOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)] (a : α), Not (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) (Order.pred.{u1} α _inst_1 _inst_2 a))
+Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_pred Order.not_isPredLimit_predₓ'. -/
 @[simp]
 theorem not_isPredLimit_pred (a : α) : ¬IsPredLimit (pred a) := fun h => h.pred_ne _ rfl
 #align order.not_is_pred_limit_pred Order.not_isPredLimit_pred
--/
 
 end NoMinOrder
 
@@ -429,23 +533,35 @@ section IsPredArchimedean
 
 variable [IsPredArchimedean α]
 
-#print Order.IsPredLimit.isMax_of_noMin /-
+/- warning: order.is_pred_limit.is_max_of_no_min -> Order.IsPredLimit.isMax_of_noMin is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : IsPredArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a) -> (IsMax.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : IsPredArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a) -> (IsMax.{u1} α (Preorder.toLE.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.is_max_of_no_min Order.IsPredLimit.isMax_of_noMinₓ'. -/
 protected theorem IsPredLimit.isMax_of_noMin [NoMinOrder α] (h : IsPredLimit a) : IsMax a :=
   h.dual.isMin_of_noMax
 #align order.is_pred_limit.is_max_of_no_min Order.IsPredLimit.isMax_of_noMin
--/
 
-#print Order.isPredLimit_iff_of_noMin /-
+/- warning: order.is_pred_limit_iff_of_no_min -> Order.isPredLimit_iff_of_noMin is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : IsPredArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], Iff (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a) (IsMax.{u1} α (Preorder.toHasLe.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : IsPredArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], Iff (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a) (IsMax.{u1} α (Preorder.toLE.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_iff_of_no_min Order.isPredLimit_iff_of_noMinₓ'. -/
 @[simp]
 theorem isPredLimit_iff_of_noMin [NoMinOrder α] : IsPredLimit a ↔ IsMax a :=
   isSuccLimit_toDual_iff.symm.trans isSuccLimit_iff_of_noMax
 #align order.is_pred_limit_iff_of_no_min Order.isPredLimit_iff_of_noMin
--/
 
-#print Order.not_isPredLimit_of_noMin /-
+/- warning: order.not_is_pred_limit_of_no_min -> Order.not_isPredLimit_of_noMin is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : IsPredArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)] [_inst_5 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α _inst_1)], Not (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α _inst_1) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Preorder.{u1} α] {a : α} [_inst_2 : PredOrder.{u1} α _inst_1] [_inst_3 : IsPredArchimedean.{u1} α _inst_1 _inst_2] [_inst_4 : NoMinOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)] [_inst_5 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α _inst_1)], Not (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α _inst_1) a)
+Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_of_no_min Order.not_isPredLimit_of_noMinₓ'. -/
 theorem not_isPredLimit_of_noMin [NoMinOrder α] [NoMaxOrder α] : ¬IsPredLimit a := by simp
 #align order.not_is_pred_limit_of_no_min Order.not_isPredLimit_of_noMin
--/
 
 end IsPredArchimedean
 
@@ -455,20 +571,33 @@ section PartialOrder
 
 variable [PartialOrder α] [PredOrder α] {a b : α} {C : α → Sort _}
 
-#print Order.isPredLimit_of_pred_ne /-
+/- warning: order.is_pred_limit_of_pred_ne -> Order.isPredLimit_of_pred_ne is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, (forall (b : α), Ne.{succ u1} α (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a) -> (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, (forall (b : α), Ne.{succ u1} α (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a) -> (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_of_pred_ne Order.isPredLimit_of_pred_neₓ'. -/
 theorem isPredLimit_of_pred_ne (h : ∀ b, pred b ≠ a) : IsPredLimit a := fun b hba => h b hba.pred_eq
 #align order.is_pred_limit_of_pred_ne Order.isPredLimit_of_pred_ne
--/
 
-#print Order.not_isPredLimit_iff /-
+/- warning: order.not_is_pred_limit_iff -> Order.not_isPredLimit_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, Iff (Not (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) (Exists.{succ u1} α (fun (b : α) => And (Not (IsMin.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)) (Eq.{succ u1} α (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, Iff (Not (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) (Exists.{succ u1} α (fun (b : α) => And (Not (IsMin.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)) (Eq.{succ u1} α (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) a)))
+Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit_iff Order.not_isPredLimit_iffₓ'. -/
 theorem not_isPredLimit_iff : ¬IsPredLimit a ↔ ∃ b, ¬IsMin b ∧ pred b = a :=
   by
   rw [← is_succ_limit_to_dual_iff]
   exact not_is_succ_limit_iff
 #align order.not_is_pred_limit_iff Order.not_isPredLimit_iff
--/
 
-#print Order.mem_range_pred_of_not_isPredLimit /-
+/- warning: order.mem_range_pred_of_not_is_pred_limit -> Order.mem_range_pred_of_not_isPredLimit is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, (Not (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (Membership.Mem.{u1, u1} α (Set.{u1} α) (Set.hasMem.{u1} α) a (Set.range.{u1, succ u1} α α (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, (Not (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (Membership.mem.{u1, u1} α (Set.{u1} α) (Set.instMembershipSet.{u1} α) a (Set.range.{u1, succ u1} α α (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2)))
+Case conversion may be inaccurate. Consider using '#align order.mem_range_pred_of_not_is_pred_limit Order.mem_range_pred_of_not_isPredLimitₓ'. -/
 /-- See `not_is_pred_limit_iff` for a version that states that `a` is a successor of a value other
 than itself. -/
 theorem mem_range_pred_of_not_isPredLimit (h : ¬IsPredLimit a) : a ∈ range (@pred α _ _) :=
@@ -476,44 +605,63 @@ theorem mem_range_pred_of_not_isPredLimit (h : ¬IsPredLimit a) : a ∈ range (@
   cases' not_is_pred_limit_iff.1 h with b hb
   exact ⟨b, hb.2⟩
 #align order.mem_range_pred_of_not_is_pred_limit Order.mem_range_pred_of_not_isPredLimit
--/
 
-#print Order.isPredLimit_of_pred_lt /-
+/- warning: order.is_pred_limit_of_pred_lt -> Order.isPredLimit_of_pred_lt is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α}, (forall (a : α), (GT.gt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b)) -> (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α}, (forall (a : α), (GT.gt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a) b)) -> (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_of_pred_lt Order.isPredLimit_of_pred_ltₓ'. -/
 theorem isPredLimit_of_pred_lt (H : ∀ a > b, pred a < b) : IsPredLimit b := fun a hab =>
   (H a hab.lt).Ne hab.pred_eq
 #align order.is_pred_limit_of_pred_lt Order.isPredLimit_of_pred_lt
--/
 
-#print Order.IsPredLimit.lt_pred /-
+/- warning: order.is_pred_limit.lt_pred -> Order.IsPredLimit.lt_pred is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} {b : α}, (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} {b : α}, (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b))
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.lt_pred Order.IsPredLimit.lt_predₓ'. -/
 theorem IsPredLimit.lt_pred (h : IsPredLimit a) : a < b → a < pred b :=
   h.dual.succ_lt
 #align order.is_pred_limit.lt_pred Order.IsPredLimit.lt_pred
--/
 
-#print Order.IsPredLimit.lt_pred_iff /-
+/- warning: order.is_pred_limit.lt_pred_iff -> Order.IsPredLimit.lt_pred_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} {b : α}, (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (Iff (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} {b : α}, (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (Iff (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b))
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.lt_pred_iff Order.IsPredLimit.lt_pred_iffₓ'. -/
 theorem IsPredLimit.lt_pred_iff (h : IsPredLimit a) : a < pred b ↔ a < b :=
   h.dual.succ_lt_iff
 #align order.is_pred_limit.lt_pred_iff Order.IsPredLimit.lt_pred_iff
--/
 
-#print Order.isPredLimit_iff_lt_pred /-
+/- warning: order.is_pred_limit_iff_lt_pred -> Order.isPredLimit_iff_lt_pred is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, Iff (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) (forall {{b : α}}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α}, Iff (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) (forall {{b : α}}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a b) -> (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)))
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_iff_lt_pred Order.isPredLimit_iff_lt_predₓ'. -/
 theorem isPredLimit_iff_lt_pred : IsPredLimit a ↔ ∀ ⦃b⦄, a < b → a < pred b :=
   isSuccLimit_toDual_iff.symm.trans isSuccLimit_iff_succ_lt
 #align order.is_pred_limit_iff_lt_pred Order.isPredLimit_iff_lt_pred
--/
 
-#print Order.isPredLimitRecOn /-
+/- warning: order.is_pred_limit_rec_on -> Order.isPredLimitRecOn is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} (b : α), (forall (a : α), (Not (IsMin.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) -> (forall (a : α), (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) -> (C b)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} (b : α), (forall (a : α), (Not (IsMin.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) -> (forall (a : α), (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) -> (C b)
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_rec_on Order.isPredLimitRecOnₓ'. -/
 /-- A value can be built by building it on predecessors and predecessor limits. -/
 @[elab_as_elim]
 noncomputable def isPredLimitRecOn (b : α) (hs : ∀ a, ¬IsMin a → C (pred a))
     (hl : ∀ a, IsPredLimit a → C a) : C b :=
   @isSuccLimitRecOn αᵒᵈ _ _ _ _ hs fun a ha => hl _ ha.dual
 #align order.is_pred_limit_rec_on Order.isPredLimitRecOn
--/
 
 /- warning: order.is_pred_limit_rec_on_limit -> Order.isPredLimitRecOn_limit is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α} {C : α -> Sort.{u2}} (hs : forall (a : α), (Not (IsMin.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) (hb : Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b), Eq.{u2} (C b) (Order.isPredLimitRecOn.{u1, u2} α _inst_1 _inst_2 C b hs hl) (hl b hb)
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {b : α} {C : α -> Sort.{u2}} (hs : forall (a : α), (Not (IsMin.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) (hb : Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b), Eq.{u2} (C b) (Order.isPredLimitRecOn.{u1, u2} α _inst_1 _inst_2 C b hs hl) (hl b hb)
 but is expected to have type
   forall {α : Type.{u2}} [_inst_1 : PartialOrder.{u2} α] [_inst_2 : PredOrder.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)] {b : α} {C : α -> Sort.{u1}} (hs : forall (a : α), (Not (IsMin.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a)) -> (C (Order.pred.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a) -> (C a)) (hb : Order.IsPredLimit.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) b), Eq.{u1} (C b) (Order.isPredLimitRecOn.{u2, u1} α _inst_1 _inst_2 C b hs hl) (hl b hb)
 Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_rec_on_limit Order.isPredLimitRecOn_limitₓ'. -/
@@ -524,7 +672,7 @@ theorem isPredLimitRecOn_limit (hs : ∀ a, ¬IsMin a → C (pred a)) (hl : ∀
 
 /- warning: order.is_pred_limit_rec_on_pred' -> Order.isPredLimitRecOn_pred' is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} (hs : forall (a : α), (Not (IsMin.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) {b : α} (hb : Not (IsMin.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)), Eq.{u2} (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (Order.isPredLimitRecOn.{u1, u2} α _inst_1 _inst_2 C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) hs hl) (hs b hb)
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} (hs : forall (a : α), (Not (IsMin.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) {b : α} (hb : Not (IsMin.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) b)), Eq.{u2} (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (Order.isPredLimitRecOn.{u1, u2} α _inst_1 _inst_2 C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) hs hl) (hs b hb)
 but is expected to have type
   forall {α : Type.{u2}} [_inst_1 : PartialOrder.{u2} α] [_inst_2 : PredOrder.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)] {C : α -> Sort.{u1}} (hs : forall (a : α), (Not (IsMin.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a)) -> (C (Order.pred.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a) -> (C a)) {b : α} (hb : Not (IsMin.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) b)), Eq.{u1} (C (Order.pred.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 b)) (Order.isPredLimitRecOn.{u2, u1} α _inst_1 _inst_2 C (Order.pred.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 b) hs hl) (hs b hb)
 Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_rec_on_pred' Order.isPredLimitRecOn_pred'ₓ'. -/
@@ -539,7 +687,7 @@ variable [NoMinOrder α]
 
 /- warning: order.is_pred_limit_rec_on_pred -> Order.isPredLimitRecOn_pred is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} [_inst_3 : NoMinOrder.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))] (hs : forall (a : α), (Not (IsMin.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) (b : α), Eq.{u2} (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (Order.isPredLimitRecOn.{u1, u2} α _inst_1 _inst_2 C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) hs hl) (hs b (not_isMin.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_3 b))
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {C : α -> Sort.{u2}} [_inst_3 : NoMinOrder.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))] (hs : forall (a : α), (Not (IsMin.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)) -> (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (C a)) (b : α), Eq.{u2} (C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b)) (Order.isPredLimitRecOn.{u1, u2} α _inst_1 _inst_2 C (Order.pred.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2 b) hs hl) (hs b (not_isMin.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_3 b))
 but is expected to have type
   forall {α : Type.{u2}} [_inst_1 : PartialOrder.{u2} α] [_inst_2 : PredOrder.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)] {C : α -> Sort.{u1}} [_inst_3 : NoMinOrder.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1))] (hs : forall (a : α), (Not (IsMin.{u2} α (Preorder.toLE.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a)) -> (C (Order.pred.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 a))) (hl : forall (a : α), (Order.IsPredLimit.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1)) a) -> (C a)) (b : α), Eq.{u1} (C (Order.pred.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 b)) (Order.isPredLimitRecOn.{u2, u1} α _inst_1 _inst_2 C (Order.pred.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_2 b) hs hl) (hs b (not_isMin.{u2} α (PartialOrder.toPreorder.{u2} α _inst_1) _inst_3 b))
 Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_rec_on_pred Order.isPredLimitRecOn_predₓ'. -/
@@ -555,23 +703,35 @@ section IsPredArchimedean
 
 variable [IsPredArchimedean α]
 
-#print Order.IsPredLimit.isMax /-
+/- warning: order.is_pred_limit.is_max -> Order.IsPredLimit.isMax is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) -> (IsMax.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit.is_max Order.IsPredLimit.isMaxₓ'. -/
 protected theorem IsPredLimit.isMax (h : IsPredLimit a) : IsMax a :=
   h.dual.IsMin
 #align order.is_pred_limit.is_max Order.IsPredLimit.isMax
--/
 
-#print Order.isPredLimit_iff /-
+/- warning: order.is_pred_limit_iff -> Order.isPredLimit_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], Iff (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) (IsMax.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2], Iff (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a) (IsMax.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+Case conversion may be inaccurate. Consider using '#align order.is_pred_limit_iff Order.isPredLimit_iffₓ'. -/
 @[simp]
 theorem isPredLimit_iff : IsPredLimit a ↔ IsMax a :=
   isSuccLimit_toDual_iff.symm.trans isSuccLimit_iff
 #align order.is_pred_limit_iff Order.isPredLimit_iff
--/
 
-#print Order.not_isPredLimit /-
+/- warning: order.not_is_pred_limit -> Order.not_isPredLimit is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2] [_inst_4 : NoMaxOrder.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Not (Order.IsPredLimit.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : PartialOrder.{u1} α] [_inst_2 : PredOrder.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)] {a : α} [_inst_3 : IsPredArchimedean.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1) _inst_2] [_inst_4 : NoMaxOrder.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1))], Not (Order.IsPredLimit.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α _inst_1)) a)
+Case conversion may be inaccurate. Consider using '#align order.not_is_pred_limit Order.not_isPredLimitₓ'. -/
 theorem not_isPredLimit [NoMaxOrder α] : ¬IsPredLimit a := by simp
 #align order.not_is_pred_limit Order.not_isPredLimit
--/
 
 end IsPredArchimedean
 
Diff
@@ -68,10 +68,10 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
-#print Order.IsMin.isSuccLimit /-
-protected theorem Order.IsMin.isSuccLimit : IsMin a → IsSuccLimit a := fun h b hab =>
+#print IsMin.isSuccLimit /-
+protected theorem IsMin.isSuccLimit : IsMin a → IsSuccLimit a := fun h b hab =>
   not_isMin_of_lt hab.lt h
-#align is_min.is_succ_limit Order.IsMin.isSuccLimit
+#align is_min.is_succ_limit IsMin.isSuccLimit
 -/
 
 /- warning: order.is_succ_limit_bot -> Order.isSuccLimit_bot is a dubious translation:
@@ -139,7 +139,7 @@ theorem IsSuccLimit.isMin_of_noMax [NoMaxOrder α] (h : IsSuccLimit a) : IsMin a
 #print Order.isSuccLimit_iff_of_noMax /-
 @[simp]
 theorem isSuccLimit_iff_of_noMax [NoMaxOrder α] : IsSuccLimit a ↔ IsMin a :=
-  ⟨IsSuccLimit.isMin_of_noMax, Order.IsMin.isSuccLimit⟩
+  ⟨IsSuccLimit.isMin_of_noMax, IsMin.isSuccLimit⟩
 #align order.is_succ_limit_iff_of_no_max Order.isSuccLimit_iff_of_noMax
 -/
 
@@ -304,7 +304,7 @@ protected theorem IsSuccLimit.isMin (h : IsSuccLimit a) : IsMin a := fun b hb =>
 #print Order.isSuccLimit_iff /-
 @[simp]
 theorem isSuccLimit_iff : IsSuccLimit a ↔ IsMin a :=
-  ⟨IsSuccLimit.isMin, Order.IsMin.isSuccLimit⟩
+  ⟨IsSuccLimit.isMin, IsMin.isSuccLimit⟩
 #align order.is_succ_limit_iff Order.isSuccLimit_iff
 -/
 
@@ -371,10 +371,10 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
-#print Order.IsMax.isPredLimit /-
-protected theorem Order.IsMax.isPredLimit : IsMax a → IsPredLimit a := fun h b hab =>
+#print IsMax.isPredLimit /-
+protected theorem IsMax.isPredLimit : IsMax a → IsPredLimit a := fun h b hab =>
   not_isMax_of_lt hab.lt h
-#align is_max.is_pred_limit Order.IsMax.isPredLimit
+#align is_max.is_pred_limit IsMax.isPredLimit
 -/
 
 /- warning: order.is_pred_limit_top -> Order.isPredLimit_top is a dubious translation:

Changes in mathlib4

mathlib3
mathlib4
chore(Covby): rename Covby to CovBy (#9578)

Rename

  • CovbyCovBy, WcovbyWCovBy
  • *covby**covBy*
  • wcovby.finset_valWCovBy.finset_val, wcovby.finset_coeWCovBy.finset_coe
  • Covby.is_coatomCovBy.isCoatom
Diff
@@ -43,12 +43,12 @@ def IsSuccLimit (a : α) : Prop :=
   ∀ b, ¬b ⋖ a
 #align order.is_succ_limit Order.IsSuccLimit
 
-theorem not_isSuccLimit_iff_exists_covby (a : α) : ¬IsSuccLimit a ↔ ∃ b, b ⋖ a := by
+theorem not_isSuccLimit_iff_exists_covBy (a : α) : ¬IsSuccLimit a ↔ ∃ b, b ⋖ a := by
   simp [IsSuccLimit]
-#align order.not_is_succ_limit_iff_exists_covby Order.not_isSuccLimit_iff_exists_covby
+#align order.not_is_succ_limit_iff_exists_covby Order.not_isSuccLimit_iff_exists_covBy
 
 @[simp]
-theorem isSuccLimit_of_dense [DenselyOrdered α] (a : α) : IsSuccLimit a := fun _ => not_covby
+theorem isSuccLimit_of_dense [DenselyOrdered α] (a : α) : IsSuccLimit a := fun _ => not_covBy
 #align order.is_succ_limit_of_dense Order.isSuccLimit_of_dense
 
 end LT
@@ -69,7 +69,7 @@ variable [SuccOrder α]
 
 protected theorem IsSuccLimit.isMax (h : IsSuccLimit (succ a)) : IsMax a := by
   by_contra H
-  exact h a (covby_succ_of_not_isMax H)
+  exact h a (covBy_succ_of_not_isMax H)
 #align order.is_succ_limit.is_max Order.IsSuccLimit.isMax
 
 theorem not_isSuccLimit_succ_of_not_isMax (ha : ¬IsMax a) : ¬IsSuccLimit (succ a) := by
@@ -120,14 +120,14 @@ section PartialOrder
 variable [PartialOrder α] [SuccOrder α] {a b : α} {C : α → Sort*}
 
 theorem isSuccLimit_of_succ_ne (h : ∀ b, succ b ≠ a) : IsSuccLimit a := fun b hba =>
-  h b (Covby.succ_eq hba)
+  h b (CovBy.succ_eq hba)
 #align order.is_succ_limit_of_succ_ne Order.isSuccLimit_of_succ_ne
 
 theorem not_isSuccLimit_iff : ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b = a := by
-  rw [not_isSuccLimit_iff_exists_covby]
-  refine' exists_congr fun b => ⟨fun hba => ⟨hba.lt.not_isMax, (Covby.succ_eq hba)⟩, _⟩
+  rw [not_isSuccLimit_iff_exists_covBy]
+  refine' exists_congr fun b => ⟨fun hba => ⟨hba.lt.not_isMax, (CovBy.succ_eq hba)⟩, _⟩
   rintro ⟨h, rfl⟩
-  exact covby_succ_of_not_isMax h
+  exact covBy_succ_of_not_isMax h
 #align order.not_is_succ_limit_iff Order.not_isSuccLimit_iff
 
 /-- See `not_isSuccLimit_iff` for a version that states that `a` is a successor of a value other
@@ -138,7 +138,7 @@ theorem mem_range_succ_of_not_isSuccLimit (h : ¬IsSuccLimit a) : a ∈ range (@
 #align order.mem_range_succ_of_not_is_succ_limit Order.mem_range_succ_of_not_isSuccLimit
 
 theorem isSuccLimit_of_succ_lt (H : ∀ a < b, succ a < b) : IsSuccLimit b := fun a hab =>
-  (H a hab.lt).ne (Covby.succ_eq hab)
+  (H a hab.lt).ne (CovBy.succ_eq hab)
 #align order.is_succ_limit_of_succ_lt Order.isSuccLimit_of_succ_lt
 
 theorem IsSuccLimit.succ_lt (hb : IsSuccLimit b) (ha : a < b) : succ a < b := by
@@ -245,11 +245,11 @@ def IsPredLimit (a : α) : Prop :=
   ∀ b, ¬a ⋖ b
 #align order.is_pred_limit Order.IsPredLimit
 
-theorem not_isPredLimit_iff_exists_covby (a : α) : ¬IsPredLimit a ↔ ∃ b, a ⋖ b := by
+theorem not_isPredLimit_iff_exists_covBy (a : α) : ¬IsPredLimit a ↔ ∃ b, a ⋖ b := by
   simp [IsPredLimit]
-#align order.not_is_pred_limit_iff_exists_covby Order.not_isPredLimit_iff_exists_covby
+#align order.not_is_pred_limit_iff_exists_covby Order.not_isPredLimit_iff_exists_covBy
 
-theorem isPredLimit_of_dense [DenselyOrdered α] (a : α) : IsPredLimit a := fun _ => not_covby
+theorem isPredLimit_of_dense [DenselyOrdered α] (a : α) : IsPredLimit a := fun _ => not_covBy
 #align order.is_pred_limit_of_dense Order.isPredLimit_of_dense
 
 @[simp]
@@ -286,7 +286,7 @@ variable [PredOrder α]
 
 protected theorem IsPredLimit.isMin (h : IsPredLimit (pred a)) : IsMin a := by
   by_contra H
-  exact h a (pred_covby_of_not_isMin H)
+  exact h a (pred_covBy_of_not_isMin H)
 #align order.is_pred_limit.is_min Order.IsPredLimit.isMin
 
 theorem not_isPredLimit_pred_of_not_isMin (ha : ¬IsMin a) : ¬IsPredLimit (pred a) := by
@@ -334,7 +334,7 @@ section PartialOrder
 variable [PartialOrder α] [PredOrder α] {a b : α} {C : α → Sort*}
 
 theorem isPredLimit_of_pred_ne (h : ∀ b, pred b ≠ a) : IsPredLimit a := fun b hba =>
-  h b (Covby.pred_eq hba)
+  h b (CovBy.pred_eq hba)
 #align order.is_pred_limit_of_pred_ne Order.isPredLimit_of_pred_ne
 
 theorem not_isPredLimit_iff : ¬IsPredLimit a ↔ ∃ b, ¬IsMin b ∧ pred b = a := by
@@ -350,7 +350,7 @@ theorem mem_range_pred_of_not_isPredLimit (h : ¬IsPredLimit a) : a ∈ range (@
 #align order.mem_range_pred_of_not_is_pred_limit Order.mem_range_pred_of_not_isPredLimit
 
 theorem isPredLimit_of_pred_lt (H : ∀ a > b, pred a < b) : IsPredLimit b := fun a hab =>
-  (H a hab.lt).ne (Covby.pred_eq hab)
+  (H a hab.lt).ne (CovBy.pred_eq hab)
 #align order.is_pred_limit_of_pred_lt Order.isPredLimit_of_pred_lt
 
 theorem IsPredLimit.lt_pred (h : IsPredLimit a) : a < b → a < pred b :=
feat: patch for new alias command (#6172)
Diff
@@ -262,10 +262,10 @@ theorem isPredLimit_toDual_iff : IsPredLimit (toDual a) ↔ IsSuccLimit a := by
   simp [IsSuccLimit, IsPredLimit]
 #align order.is_pred_limit_to_dual_iff Order.isPredLimit_toDual_iff
 
-alias isSuccLimit_toDual_iff ↔ _ isPredLimit.dual
+alias ⟨_, isPredLimit.dual⟩ := isSuccLimit_toDual_iff
 #align order.is_pred_limit.dual Order.isPredLimit.dual
 
-alias isPredLimit_toDual_iff ↔ _ isSuccLimit.dual
+alias ⟨_, isSuccLimit.dual⟩ := isPredLimit_toDual_iff
 #align order.is_succ_limit.dual Order.isSuccLimit.dual
 
 end LT
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
@@ -22,7 +22,7 @@ predicate `Order.IsSuccLimit`.
 -/
 
 
-variable {α : Type _}
+variable {α : Type*}
 
 namespace Order
 
@@ -117,7 +117,7 @@ end Preorder
 
 section PartialOrder
 
-variable [PartialOrder α] [SuccOrder α] {a b : α} {C : α → Sort _}
+variable [PartialOrder α] [SuccOrder α] {a b : α} {C : α → Sort*}
 
 theorem isSuccLimit_of_succ_ne (h : ∀ b, succ b ≠ a) : IsSuccLimit a := fun b hba =>
   h b (Covby.succ_eq hba)
@@ -331,7 +331,7 @@ end Preorder
 
 section PartialOrder
 
-variable [PartialOrder α] [PredOrder α] {a b : α} {C : α → Sort _}
+variable [PartialOrder α] [PredOrder α] {a b : α} {C : α → Sort*}
 
 theorem isPredLimit_of_pred_ne (h : ∀ b, pred b ≠ a) : IsPredLimit a := fun b hba =>
   h b (Covby.pred_eq hba)
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
@@ -2,15 +2,12 @@
 Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Violeta Hernández Palacios
-
-! This file was ported from Lean 3 source module order.succ_pred.limit
-! leanprover-community/mathlib commit 1e05171a5e8cf18d98d9cf7b207540acb044acae
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Order.SuccPred.Basic
 import Mathlib.Order.BoundedOrder
 
+#align_import order.succ_pred.limit from "leanprover-community/mathlib"@"1e05171a5e8cf18d98d9cf7b207540acb044acae"
+
 /-!
 # Successor and predecessor limits
 
chore: clean up spacing around at and goals (#5387)

Changes are of the form

  • some_tactic at h⊢ -> some_tactic at h ⊢
  • some_tactic at h -> some_tactic at h
Diff
@@ -217,7 +217,7 @@ protected theorem IsSuccLimit.isMin (h : IsSuccLimit a) : IsMin a := fun b hb =>
   revert h
   refine' Succ.rec (fun _ => le_rfl) (fun c _ H hc => _) hb
   have := hc.isMax.succ_eq
-  rw [this] at hc⊢
+  rw [this] at hc ⊢
   exact H hc
 #align order.is_succ_limit.is_min Order.IsSuccLimit.isMin
 
fix: add missing _root_ (#3630)

Mathport doesn't understand this, and apparently nor do many of the humans fixing the errors it creates.

If your #align statement complains the def doesn't exist, don't change the #align; work out why it doesn't exist instead.

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

Diff
@@ -60,9 +60,9 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
-protected theorem IsMin.isSuccLimit : IsMin a → IsSuccLimit a := fun h _ hab =>
+protected theorem _root_.IsMin.isSuccLimit : IsMin a → IsSuccLimit a := fun h _ hab =>
   not_isMin_of_lt hab.lt h
-#align is_min.is_succ_limit Order.IsMin.isSuccLimit
+#align is_min.is_succ_limit IsMin.isSuccLimit
 
 theorem isSuccLimit_bot [OrderBot α] : IsSuccLimit (⊥ : α) :=
   IsMin.isSuccLimit isMin_bot
@@ -123,7 +123,7 @@ section PartialOrder
 variable [PartialOrder α] [SuccOrder α] {a b : α} {C : α → Sort _}
 
 theorem isSuccLimit_of_succ_ne (h : ∀ b, succ b ≠ a) : IsSuccLimit a := fun b hba =>
-  h b (Order.Covby.succ_eq hba)
+  h b (Covby.succ_eq hba)
 #align order.is_succ_limit_of_succ_ne Order.isSuccLimit_of_succ_ne
 
 theorem not_isSuccLimit_iff : ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b = a := by
@@ -277,9 +277,9 @@ section Preorder
 
 variable [Preorder α] {a : α}
 
-protected theorem IsMax.isPredLimit : IsMax a → IsPredLimit a := fun h _ hab =>
+protected theorem _root_.IsMax.isPredLimit : IsMax a → IsPredLimit a := fun h _ hab =>
   not_isMax_of_lt hab.lt h
-#align is_max.is_pred_limit Order.IsMax.isPredLimit
+#align is_max.is_pred_limit IsMax.isPredLimit
 
 theorem isPredLimit_top [OrderTop α] : IsPredLimit (⊤ : α) :=
    IsMax.isPredLimit isMax_top
chore: add missing #align statements (#1902)

This PR is the result of a slight variant on the following "algorithm"

  • take all mathlib 3 names, remove _ and make all uppercase letters into lowercase
  • take all mathlib 4 names, remove _ and make all uppercase letters into lowercase
  • look for matches, and create pairs (original_lean3_name, OriginalLean4Name)
  • for pairs that do not have an align statement:
    • use Lean 4 to lookup the file + position of the Lean 4 name
    • add an #align statement just before the next empty line
  • manually fix some tiny mistakes (e.g., empty lines in proofs might cause the #align statement to have been inserted too early)
Diff
@@ -266,8 +266,10 @@ theorem isPredLimit_toDual_iff : IsPredLimit (toDual a) ↔ IsSuccLimit a := by
 #align order.is_pred_limit_to_dual_iff Order.isPredLimit_toDual_iff
 
 alias isSuccLimit_toDual_iff ↔ _ isPredLimit.dual
+#align order.is_pred_limit.dual Order.isPredLimit.dual
 
 alias isPredLimit_toDual_iff ↔ _ isSuccLimit.dual
+#align order.is_succ_limit.dual Order.isSuccLimit.dual
 
 end LT
 
chore: fix most phantom #aligns (#1794)
Diff
@@ -288,7 +288,7 @@ variable [PredOrder α]
 protected theorem IsPredLimit.isMin (h : IsPredLimit (pred a)) : IsMin a := by
   by_contra H
   exact h a (pred_covby_of_not_isMin H)
-#align order.isPredLimit.is_min Order.IsPredLimit.isMin
+#align order.is_pred_limit.is_min Order.IsPredLimit.isMin
 
 theorem not_isPredLimit_pred_of_not_isMin (ha : ¬IsMin a) : ¬IsPredLimit (pred a) := by
   contrapose! ha
@@ -356,7 +356,7 @@ theorem isPredLimit_of_pred_lt (H : ∀ a > b, pred a < b) : IsPredLimit b := fu
 
 theorem IsPredLimit.lt_pred (h : IsPredLimit a) : a < b → a < pred b :=
   (isPredLimit.dual h).succ_lt
-#align order.isPredLimit.lt_pred Order.IsPredLimit.lt_pred
+#align order.is_pred_limit.lt_pred Order.IsPredLimit.lt_pred
 
 theorem IsPredLimit.lt_pred_iff (h : IsPredLimit a) : a < pred b ↔ a < b :=
   (isPredLimit.dual h).succ_lt_iff
@@ -401,7 +401,7 @@ variable [IsPredArchimedean α]
 
 protected theorem IsPredLimit.isMax (h : IsPredLimit a) : IsMax a :=
   (isPredLimit.dual h).isMin
-#align order.isPredLimit.is_max Order.IsPredLimit.isMax
+#align order.is_pred_limit.is_max Order.IsPredLimit.isMax
 
 @[simp]
 theorem isPredLimit_iff : IsPredLimit a ↔ IsMax a :=
chore: fix more casing errors per naming scheme (#1232)

I've avoided anything under Tactic or test.

In correcting the names, I found Option.isNone_iff_eq_none duplicated between Std and Mathlib, so the Mathlib one has been removed.

Co-authored-by: Reid Barton <rwbarton@gmail.com>

Diff
@@ -128,7 +128,7 @@ theorem isSuccLimit_of_succ_ne (h : ∀ b, succ b ≠ a) : IsSuccLimit a := fun
 
 theorem not_isSuccLimit_iff : ¬IsSuccLimit a ↔ ∃ b, ¬IsMax b ∧ succ b = a := by
   rw [not_isSuccLimit_iff_exists_covby]
-  refine' exists_congr fun b => ⟨fun hba => ⟨hba.lt.not_is_max, (Covby.succ_eq hba)⟩, _⟩
+  refine' exists_congr fun b => ⟨fun hba => ⟨hba.lt.not_isMax, (Covby.succ_eq hba)⟩, _⟩
   rintro ⟨h, rfl⟩
   exact covby_succ_of_not_isMax h
 #align order.not_is_succ_limit_iff Order.not_isSuccLimit_iff
feat: port Order.SuccPred.Limit (#1300)

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: Arien Malec <arien.malec@gmail.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com>

Dependencies 68

69 files ported (100.0%)
37120 lines ported (100.0%)

All dependencies are ported!