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

ceb887dd

(last sync)

feat(algebra/char_p/basic): refactor proof of add_pow_char_of_commute to extract a statement true in all rings (#11364)

If x and y commute, the pth power of their sum is the sum of the pth powers plus a multiple of p. This holds in any semiring and easily implies the additivity of frobenius in char p, but is occasionally useful in characteristic 0. Also make the fact that p is 0 in a char_p ring a simp lemma.

From flt-regular

Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

Diff

@@ -34,7 +34,8 @@ instance : is_well_order ℕ∞ (<) := { }
 
 variables {m n : ℕ∞}
 
-@[simp, norm_cast] lemma coe_zero : ((0 : ℕ) : ℕ∞) = 0 := rfl
+-- eligible for `dsimp`
+@[simp, nolint simp_nf, norm_cast] lemma coe_zero : ((0 : ℕ) : ℕ∞) = 0 := rfl
 @[simp, norm_cast] lemma coe_one : ((1 : ℕ) : ℕ∞) = 1 := rfl
 @[simp, norm_cast] lemma coe_add (m n : ℕ) : ↑(m + n) = (m + n : ℕ∞) := rfl
 @[simp, norm_cast] lemma coe_sub (m n : ℕ) : ↑(m - n) = (m - n : ℕ∞) := rfl

9003f287

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

ceb887dd

bump to nightly-2023-10-07-06

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

d191b687

Diff

@@ -27,7 +27,7 @@ about this type.
 def ENat : Type :=
   WithTop ℕ
 deriving Zero, AddCommMonoidWithOne, CanonicallyOrderedCommSemiring, Nontrivial, LinearOrder,
-  OrderBot, OrderTop, Bot, Top, CanonicallyLinearOrderedAddMonoid, Sub, OrderedSub,
+  OrderBot, OrderTop, Bot, Top, CanonicallyLinearOrderedAddCommMonoid, Sub, OrderedSub,
   LinearOrderedAddCommMonoidWithTop, SuccOrder, WellFoundedLT, WellFoundedRelation, CharZero,
   «./././Mathport/Syntax/Translate/Command.lean:43:9: unsupported derive handler has_coe_t[has_coe_t] exprℕ()»
 #align enat ENat

ceb887dd

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,10 +3,10 @@ Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.Data.Nat.SuccPred
-import Mathbin.Algebra.CharZero.Lemmas
-import Mathbin.Algebra.Order.Sub.WithTop
-import Mathbin.Algebra.Order.Ring.WithTop
+import Data.Nat.SuccPred
+import Algebra.CharZero.Lemmas
+import Algebra.Order.Sub.WithTop
+import Algebra.Order.Ring.WithTop
 
 #align_import data.enat.basic from "leanprover-community/mathlib"@"ceb887ddf3344dab425292e497fa2af91498437c"

ceb887dd

bump to nightly-2023-08-23-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

f612b9e0

Diff

@@ -118,7 +118,7 @@ theorem coe_toNat_eq_self : ↑n.toNat = n ↔ n ≠ ⊤ :=
 #align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_self
 -/
 
-alias coe_to_nat_eq_self ↔ _ coe_to_nat
+alias ⟨_, coe_to_nat⟩ := coe_to_nat_eq_self
 #align enat.coe_to_nat ENat.coe_toNat
 
 #print ENat.coe_toNat_le_self /-

ceb887dd

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module data.enat.basic
-! leanprover-community/mathlib commit ceb887ddf3344dab425292e497fa2af91498437c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Nat.SuccPred
 import Mathbin.Algebra.CharZero.Lemmas
 import Mathbin.Algebra.Order.Sub.WithTop
 import Mathbin.Algebra.Order.Ring.WithTop
 
+#align_import data.enat.basic from "leanprover-community/mathlib"@"ceb887ddf3344dab425292e497fa2af91498437c"
+
 /-!
 # Definition and basic properties of extended natural numbers

ceb887dd

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -36,7 +36,6 @@ deriving Zero, AddCommMonoidWithOne, CanonicallyOrderedCommSemiring, Nontrivial,
 #align enat ENat
 -/
 
--- mathport name: «exprℕ∞»
 notation "ℕ∞" => ENat
 
 namespace ENat
@@ -63,10 +62,12 @@ theorem coe_one : ((1 : ℕ) : ℕ∞) = 1 :=
 #align enat.coe_one ENat.coe_one
 -/
 
+#print ENat.coe_add /-
 @[simp, norm_cast]
 theorem coe_add (m n : ℕ) : ↑(m + n) = (m + n : ℕ∞) :=
   rfl
 #align enat.coe_add ENat.coe_add
+-/
 
 #print ENat.coe_sub /-
 @[simp, norm_cast]
@@ -75,10 +76,12 @@ theorem coe_sub (m n : ℕ) : ↑(m - n) = (m - n : ℕ∞) :=
 #align enat.coe_sub ENat.coe_sub
 -/
 
+#print ENat.coe_mul /-
 @[simp, norm_cast]
 theorem coe_mul (m n : ℕ) : ↑(m * n) = (m * n : ℕ∞) :=
   WithTop.coe_mul
 #align enat.coe_mul ENat.coe_mul
+-/
 
 #print ENat.canLift /-
 instance canLift : CanLift ℕ∞ ℕ coe fun n => n ≠ ⊤ :=
@@ -86,6 +89,7 @@ instance canLift : CanLift ℕ∞ ℕ coe fun n => n ≠ ⊤ :=
 #align enat.can_lift ENat.canLift
 -/
 
+#print ENat.toNat /-
 /-- Conversion of `ℕ∞` to `ℕ` sending `∞` to `0`. -/
 def toNat : MonoidWithZeroHom ℕ∞ ℕ
     where
@@ -94,33 +98,45 @@ def toNat : MonoidWithZeroHom ℕ∞ ℕ
   map_zero' := rfl
   map_mul' := WithTop.untop'_zero_mul
 #align enat.to_nat ENat.toNat
+-/
 
+#print ENat.toNat_coe /-
 @[simp]
 theorem toNat_coe (n : ℕ) : toNat n = n :=
   rfl
 #align enat.to_nat_coe ENat.toNat_coe
+-/
 
+#print ENat.toNat_top /-
 @[simp]
 theorem toNat_top : toNat ⊤ = 0 :=
   rfl
 #align enat.to_nat_top ENat.toNat_top
+-/
 
+#print ENat.coe_toNat_eq_self /-
 @[simp]
 theorem coe_toNat_eq_self : ↑n.toNat = n ↔ n ≠ ⊤ :=
   WithTop.recTopCoe (by simp) (by simp) n
 #align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_self
+-/
 
 alias coe_to_nat_eq_self ↔ _ coe_to_nat
 #align enat.coe_to_nat ENat.coe_toNat
 
+#print ENat.coe_toNat_le_self /-
 theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
   WithTop.recTopCoe le_top (fun k => le_rfl) n
 #align enat.coe_to_nat_le_self ENat.coe_toNat_le_self
+-/
 
+#print ENat.toNat_add /-
 theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m + n) = toNat m + toNat n := by
   lift m to ℕ using hm; lift n to ℕ using hn; rfl
 #align enat.to_nat_add ENat.toNat_add
+-/
 
+#print ENat.toNat_sub /-
 theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = toNat m - toNat n :=
   by
   lift n to ℕ using hn
@@ -128,34 +144,49 @@ theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = t
   · rw [WithTop.top_sub_coe, to_nat_top, zero_tsub]
   · rw [← coe_sub, to_nat_coe, to_nat_coe, to_nat_coe]
 #align enat.to_nat_sub ENat.toNat_sub
+-/
 
+#print ENat.toNat_eq_iff /-
 theorem toNat_eq_iff {m : ℕ∞} {n : ℕ} (hn : n ≠ 0) : m.toNat = n ↔ m = n := by
   induction m using WithTop.recTopCoe <;> simp [hn.symm]
 #align enat.to_nat_eq_iff ENat.toNat_eq_iff
+-/
 
+#print ENat.succ_def /-
 @[simp]
 theorem succ_def (m : ℕ∞) : Order.succ m = m + 1 := by cases m <;> rfl
 #align enat.succ_def ENat.succ_def
+-/
 
+#print ENat.add_one_le_of_lt /-
 theorem add_one_le_of_lt (h : m < n) : m + 1 ≤ n :=
   m.succ_def ▸ Order.succ_le_of_lt h
 #align enat.add_one_le_of_lt ENat.add_one_le_of_lt
+-/
 
+#print ENat.add_one_le_iff /-
 theorem add_one_le_iff (hm : m ≠ ⊤) : m + 1 ≤ n ↔ m < n :=
   m.succ_def ▸ (Order.succ_le_iff_of_not_isMax <| by rwa [isMax_iff_eq_top])
 #align enat.add_one_le_iff ENat.add_one_le_iff
+-/
 
+#print ENat.one_le_iff_pos /-
 theorem one_le_iff_pos : 1 ≤ n ↔ 0 < n :=
   add_one_le_iff WithTop.zero_ne_top
 #align enat.one_le_iff_pos ENat.one_le_iff_pos
+-/
 
+#print ENat.one_le_iff_ne_zero /-
 theorem one_le_iff_ne_zero : 1 ≤ n ↔ n ≠ 0 :=
   one_le_iff_pos.trans pos_iff_ne_zero
 #align enat.one_le_iff_ne_zero ENat.one_le_iff_ne_zero
+-/
 
+#print ENat.le_of_lt_add_one /-
 theorem le_of_lt_add_one (h : m < n + 1) : m ≤ n :=
   Order.le_of_lt_succ <| n.succ_def.symm ▸ h
 #align enat.le_of_lt_add_one ENat.le_of_lt_add_one
+-/
 
 #print ENat.nat_induction /-
 @[elab_as_elim]

ceb887dd

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -24,7 +24,7 @@ about this type.
 -/
 
 
-/- ./././Mathport/Syntax/Translate/Command.lean:42:9: unsupported derive handler has_coe_t[has_coe_t] exprℕ() -/
+/- ./././Mathport/Syntax/Translate/Command.lean:43:9: unsupported derive handler has_coe_t[has_coe_t] exprℕ() -/
 #print ENat /-
 /-- Extended natural numbers `ℕ∞ = with_top ℕ`. -/
 def ENat : Type :=
@@ -32,7 +32,7 @@ def ENat : Type :=
 deriving Zero, AddCommMonoidWithOne, CanonicallyOrderedCommSemiring, Nontrivial, LinearOrder,
   OrderBot, OrderTop, Bot, Top, CanonicallyLinearOrderedAddMonoid, Sub, OrderedSub,
   LinearOrderedAddCommMonoidWithTop, SuccOrder, WellFoundedLT, WellFoundedRelation, CharZero,
-  «./././Mathport/Syntax/Translate/Command.lean:42:9: unsupported derive handler has_coe_t[has_coe_t] exprℕ()»
+  «./././Mathport/Syntax/Translate/Command.lean:43:9: unsupported derive handler has_coe_t[has_coe_t] exprℕ()»
 #align enat ENat
 -/

ceb887dd

bump to nightly-2023-06-01-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

b9c87c70

Diff

@@ -28,8 +28,9 @@ about this type.
 #print ENat /-
 /-- Extended natural numbers `ℕ∞ = with_top ℕ`. -/
 def ENat : Type :=
-  WithTop ℕ deriving Zero, AddCommMonoidWithOne, CanonicallyOrderedCommSemiring, Nontrivial,
-  LinearOrder, OrderBot, OrderTop, Bot, Top, CanonicallyLinearOrderedAddMonoid, Sub, OrderedSub,
+  WithTop ℕ
+deriving Zero, AddCommMonoidWithOne, CanonicallyOrderedCommSemiring, Nontrivial, LinearOrder,
+  OrderBot, OrderTop, Bot, Top, CanonicallyLinearOrderedAddMonoid, Sub, OrderedSub,
   LinearOrderedAddCommMonoidWithTop, SuccOrder, WellFoundedLT, WellFoundedRelation, CharZero,
   «./././Mathport/Syntax/Translate/Command.lean:42:9: unsupported derive handler has_coe_t[has_coe_t] exprℕ()»
 #align enat ENat
@@ -163,7 +164,7 @@ theorem nat_induction {P : ℕ∞ → Prop} (a : ℕ∞) (h0 : P 0) (hsuc : ∀
   by
   have A : ∀ n : ℕ, P n := fun n => Nat.recOn n h0 hsuc
   cases a
-  exacts[htop A, A a]
+  exacts [htop A, A a]
 #align enat.nat_induction ENat.nat_induction
 -/

ceb887dd

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -62,12 +62,6 @@ theorem coe_one : ((1 : ℕ) : ℕ∞) = 1 :=
 #align enat.coe_one ENat.coe_one
 -/
 
-/- warning: enat.coe_add -> ENat.coe_add is a dubious translation:
-lean 3 declaration is
-  forall (m : Nat) (n : Nat), Eq.{1} ENat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) m n)) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) m) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) n))
-but is expected to have type
-  forall (m : Nat) (n : Nat), Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) m n)) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) m) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n))
-Case conversion may be inaccurate. Consider using '#align enat.coe_add ENat.coe_addₓ'. -/
 @[simp, norm_cast]
 theorem coe_add (m n : ℕ) : ↑(m + n) = (m + n : ℕ∞) :=
   rfl
@@ -80,12 +74,6 @@ theorem coe_sub (m n : ℕ) : ↑(m - n) = (m - n : ℕ∞) :=
 #align enat.coe_sub ENat.coe_sub
 -/
 
-/- warning: enat.coe_mul -> ENat.coe_mul is a dubious translation:
-lean 3 declaration is
-  forall (m : Nat) (n : Nat), Eq.{1} ENat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (HMul.hMul.{0, 0, 0} Nat Nat Nat (instHMul.{0} Nat Nat.hasMul) m n)) (HMul.hMul.{0, 0, 0} ENat ENat ENat (instHMul.{0} ENat (Distrib.toHasMul.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) m) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) n))
-but is expected to have type
-  forall (m : Nat) (n : Nat), Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (HMul.hMul.{0, 0, 0} Nat Nat Nat (instHMul.{0} Nat instMulNat) m n)) (HMul.hMul.{0, 0, 0} ENat ENat ENat (instHMul.{0} ENat (CanonicallyOrderedCommSemiring.toMul.{0} ENat instENatCanonicallyOrderedCommSemiring)) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) m) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n))
-Case conversion may be inaccurate. Consider using '#align enat.coe_mul ENat.coe_mulₓ'. -/
 @[simp, norm_cast]
 theorem coe_mul (m n : ℕ) : ↑(m * n) = (m * n : ℕ∞) :=
   WithTop.coe_mul
@@ -97,12 +85,6 @@ instance canLift : CanLift ℕ∞ ℕ coe fun n => n ≠ ⊤ :=
 #align enat.can_lift ENat.canLift
 -/
 
-/- warning: enat.to_nat -> ENat.toNat is a dubious translation:
-lean 3 declaration is
-  MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))
-but is expected to have type
-  MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))
-Case conversion may be inaccurate. Consider using '#align enat.to_nat ENat.toNatₓ'. -/
 /-- Conversion of `ℕ∞` to `ℕ` sending `∞` to `0`. -/
 def toNat : MonoidWithZeroHom ℕ∞ ℕ
     where
@@ -112,68 +94,32 @@ def toNat : MonoidWithZeroHom ℕ∞ ℕ
   map_mul' := WithTop.untop'_zero_mul
 #align enat.to_nat ENat.toNat
 
-/- warning: enat.to_nat_coe -> ENat.toNat_coe is a dubious translation:
-lean 3 declaration is
-  forall (n : Nat), Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) n)) n
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align enat.to_nat_coe ENat.toNat_coeₓ'. -/
 @[simp]
 theorem toNat_coe (n : ℕ) : toNat n = n :=
   rfl
 #align enat.to_nat_coe ENat.toNat_coe
 
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-Case conversion may be inaccurate. Consider using '#align enat.to_nat_top ENat.toNat_topₓ'. -/
 @[simp]
 theorem toNat_top : toNat ⊤ = 0 :=
   rfl
 #align enat.to_nat_top ENat.toNat_top
 
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_selfₓ'. -/
 @[simp]
 theorem coe_toNat_eq_self : ↑n.toNat = n ↔ n ≠ ⊤ :=
   WithTop.recTopCoe (by simp) (by simp) n
 #align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_self
 
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-Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat ENat.coe_toNatₓ'. -/
 alias coe_to_nat_eq_self ↔ _ coe_to_nat
 #align enat.coe_to_nat ENat.coe_toNat
 
-/- warning: enat.coe_to_nat_le_self -> ENat.coe_toNat_le_self is a dubious translation:
-lean 3 declaration is
-  forall (n : ENat), LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat_le_self ENat.coe_toNat_le_selfₓ'. -/
 theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
   WithTop.recTopCoe le_top (fun k => le_rfl) n
 #align enat.coe_to_nat_le_self ENat.coe_toNat_le_self
 
-/- warning: enat.to_nat_add -> ENat.toNat_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align enat.to_nat_add ENat.toNat_addₓ'. -/
 theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m + n) = toNat m + toNat n := by
   lift m to ℕ using hm; lift n to ℕ using hn; rfl
 #align enat.to_nat_add ENat.toNat_add
 
-/- warning: enat.to_nat_sub -> ENat.toNat_sub is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align enat.to_nat_sub ENat.toNat_subₓ'. -/
 theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = toNat m - toNat n :=
   by
   lift n to ℕ using hn
@@ -182,72 +128,30 @@ theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = t
   · rw [← coe_sub, to_nat_coe, to_nat_coe, to_nat_coe]
 #align enat.to_nat_sub ENat.toNat_sub
 
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-Case conversion may be inaccurate. Consider using '#align enat.to_nat_eq_iff ENat.toNat_eq_iffₓ'. -/
 theorem toNat_eq_iff {m : ℕ∞} {n : ℕ} (hn : n ≠ 0) : m.toNat = n ↔ m = n := by
   induction m using WithTop.recTopCoe <;> simp [hn.symm]
 #align enat.to_nat_eq_iff ENat.toNat_eq_iff
 
-/- warning: enat.succ_def -> ENat.succ_def is a dubious translation:
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-  forall (m : ENat), Eq.{1} ENat (Order.succ.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))) ENat.instSuccOrderENatToPreorderToPartialOrderToOrderedSemiringToOrderedCommSemiringInstENatCanonicallyOrderedCommSemiring m) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring))))
-Case conversion may be inaccurate. Consider using '#align enat.succ_def ENat.succ_defₓ'. -/
 @[simp]
 theorem succ_def (m : ℕ∞) : Order.succ m = m + 1 := by cases m <;> rfl
 #align enat.succ_def ENat.succ_def
 
-/- warning: enat.add_one_le_of_lt -> ENat.add_one_le_of_lt is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
-  forall {m : ENat} {n : ENat}, (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) m n) -> (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring)))) n)
-Case conversion may be inaccurate. Consider using '#align enat.add_one_le_of_lt ENat.add_one_le_of_ltₓ'. -/
 theorem add_one_le_of_lt (h : m < n) : m + 1 ≤ n :=
   m.succ_def ▸ Order.succ_le_of_lt h
 #align enat.add_one_le_of_lt ENat.add_one_le_of_lt
 
-/- warning: enat.add_one_le_iff -> ENat.add_one_le_iff is a dubious translation:
-lean 3 declaration is
-  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat ENat.hasTop)) -> (Iff (LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne)))))) n) (LT.lt.{0} ENat (Preorder.toHasLt.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m n))
-but is expected to have type
-  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat instENatTop)) -> (Iff (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring)))) n) (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) m n))
-Case conversion may be inaccurate. Consider using '#align enat.add_one_le_iff ENat.add_one_le_iffₓ'. -/
 theorem add_one_le_iff (hm : m ≠ ⊤) : m + 1 ≤ n ↔ m < n :=
   m.succ_def ▸ (Order.succ_le_iff_of_not_isMax <| by rwa [isMax_iff_eq_top])
 #align enat.add_one_le_iff ENat.add_one_le_iff
 
-/- warning: enat.one_le_iff_pos -> ENat.one_le_iff_pos is a dubious translation:
-lean 3 declaration is
-  forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne))))) n) (LT.lt.{0} ENat (Preorder.toHasLt.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (OfNat.ofNat.{0} ENat 0 (OfNat.mk.{0} ENat 0 (Zero.zero.{0} ENat ENat.hasZero))) n)
-but is expected to have type
-  forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring))) n) (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (OfNat.ofNat.{0} ENat 0 (Zero.toOfNat0.{0} ENat instENatZero)) n)
-Case conversion may be inaccurate. Consider using '#align enat.one_le_iff_pos ENat.one_le_iff_posₓ'. -/
 theorem one_le_iff_pos : 1 ≤ n ↔ 0 < n :=
   add_one_le_iff WithTop.zero_ne_top
 #align enat.one_le_iff_pos ENat.one_le_iff_pos
 
-/- warning: enat.one_le_iff_ne_zero -> ENat.one_le_iff_ne_zero is a dubious translation:
-lean 3 declaration is
-  forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne))))) n) (Ne.{1} ENat n (OfNat.ofNat.{0} ENat 0 (OfNat.mk.{0} ENat 0 (Zero.zero.{0} ENat ENat.hasZero))))
-but is expected to have type
-  forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring))) n) (Ne.{1} ENat n (OfNat.ofNat.{0} ENat 0 (Zero.toOfNat0.{0} ENat instENatZero)))
-Case conversion may be inaccurate. Consider using '#align enat.one_le_iff_ne_zero ENat.one_le_iff_ne_zeroₓ'. -/
 theorem one_le_iff_ne_zero : 1 ≤ n ↔ n ≠ 0 :=
   one_le_iff_pos.trans pos_iff_ne_zero
 #align enat.one_le_iff_ne_zero ENat.one_le_iff_ne_zero
 
-/- warning: enat.le_of_lt_add_one -> ENat.le_of_lt_add_one is a dubious translation:
-lean 3 declaration is
-  forall {m : ENat} {n : ENat}, (LT.lt.{0} ENat (Preorder.toHasLt.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) n (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne))))))) -> (LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m n)
-but is expected to have type
-  forall {m : ENat} {n : ENat}, (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) m (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) n (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring))))) -> (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) m n)
-Case conversion may be inaccurate. Consider using '#align enat.le_of_lt_add_one ENat.le_of_lt_add_oneₓ'. -/
 theorem le_of_lt_add_one (h : m < n + 1) : m ≤ n :=
   Order.le_of_lt_succ <| n.succ_def.symm ▸ h
 #align enat.le_of_lt_add_one ENat.le_of_lt_add_one

ceb887dd

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -167,11 +167,8 @@ theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
 /- warning: enat.to_nat_add -> ENat.toNat_add is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_add ENat.toNat_addₓ'. -/
-theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m + n) = toNat m + toNat n :=
-  by
-  lift m to ℕ using hm
-  lift n to ℕ using hn
-  rfl
+theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m + n) = toNat m + toNat n := by
+  lift m to ℕ using hm; lift n to ℕ using hn; rfl
 #align enat.to_nat_add ENat.toNat_add
 
 /- warning: enat.to_nat_sub -> ENat.toNat_sub is a dubious translation:

ceb887dd

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -165,10 +165,7 @@ theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
 #align enat.coe_to_nat_le_self ENat.coe_toNat_le_self
 
 /- warning: enat.to_nat_add -> ENat.toNat_add is a dubious translation:
-lean 3 declaration is
-  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat ENat.hasTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)))
-but is expected to have type
-  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat instENatTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) (instHAdd.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) instAddNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_add ENat.toNat_addₓ'. -/
 theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m + n) = toNat m + toNat n :=
   by
@@ -178,10 +175,7 @@ theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m +
 #align enat.to_nat_add ENat.toNat_add
 
 /- warning: enat.to_nat_sub -> ENat.toNat_sub is a dubious translation:
-lean 3 declaration is
-  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (forall (m : ENat), Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat ENat.hasSub) m n)) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)))
-but is expected to have type
-  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (forall (m : ENat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (HSub.hSub.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) (instHSub.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) instSubNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_sub ENat.toNat_subₓ'. -/
 theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = toNat m - toNat n :=
   by

ceb887dd

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -116,7 +116,7 @@ def toNat : MonoidWithZeroHom ℕ∞ ℕ
 lean 3 declaration is
   forall (n : Nat), Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) n)) n
 but is expected to have type
-  forall (n : Nat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) n
+  forall (n : Nat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) n
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_coe ENat.toNat_coeₓ'. -/
 @[simp]
 theorem toNat_coe (n : ℕ) : toNat n = n :=
@@ -127,7 +127,7 @@ theorem toNat_coe (n : ℕ) : toNat n = n :=
 lean 3 declaration is
   Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (Top.top.{0} ENat ENat.hasTop)) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))
 but is expected to have type
-  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Top.top.{0} ENat instENatTop)) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) 0 (instOfNatNat 0))
+  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Top.top.{0} ENat instENatTop)) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) 0 (instOfNatNat 0))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_top ENat.toNat_topₓ'. -/
 @[simp]
 theorem toNat_top : toNat ⊤ = 0 :=
@@ -138,7 +138,7 @@ theorem toNat_top : toNat ⊤ = 0 :=
 lean 3 declaration is
   forall {n : ENat}, Iff (Eq.{1} ENat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n) (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop))
 but is expected to have type
-  forall {n : ENat}, Iff (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n) (Ne.{1} ENat n (Top.top.{0} ENat instENatTop))
+  forall {n : ENat}, Iff (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n) (Ne.{1} ENat n (Top.top.{0} ENat instENatTop))
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_selfₓ'. -/
 @[simp]
 theorem coe_toNat_eq_self : ↑n.toNat = n ↔ n ≠ ⊤ :=
@@ -149,7 +149,7 @@ theorem coe_toNat_eq_self : ↑n.toNat = n ↔ n ≠ ⊤ :=
 lean 3 declaration is
   forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (Eq.{1} ENat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n)
 but is expected to have type
-  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n)
+  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n)
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat ENat.coe_toNatₓ'. -/
 alias coe_to_nat_eq_self ↔ _ coe_to_nat
 #align enat.coe_to_nat ENat.coe_toNat
@@ -158,7 +158,7 @@ alias coe_to_nat_eq_self ↔ _ coe_to_nat
 lean 3 declaration is
   forall (n : ENat), LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n
 but is expected to have type
-  forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n
+  forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat_le_self ENat.coe_toNat_le_selfₓ'. -/
 theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
   WithTop.recTopCoe le_top (fun k => le_rfl) n
@@ -168,7 +168,7 @@ theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
 lean 3 declaration is
   forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat ENat.hasTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)))
 but is expected to have type
-  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat instENatTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) (instHAdd.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) instAddNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
+  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat instENatTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) (instHAdd.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) instAddNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_add ENat.toNat_addₓ'. -/
 theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m + n) = toNat m + toNat n :=
   by
@@ -181,7 +181,7 @@ theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m +
 lean 3 declaration is
   forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (forall (m : ENat), Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat ENat.hasSub) m n)) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)))
 but is expected to have type
-  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (forall (m : ENat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (HSub.hSub.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) (instHSub.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) instSubNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
+  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (forall (m : ENat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (HSub.hSub.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) (instHSub.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) instSubNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_sub ENat.toNat_subₓ'. -/
 theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = toNat m - toNat n :=
   by
@@ -195,7 +195,7 @@ theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = t
 lean 3 declaration is
   forall {m : ENat} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Iff (Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) n) (Eq.{1} ENat m ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) n)))
 but is expected to have type
-  forall {m : ENat} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Iff (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) n) (Eq.{1} ENat m (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)))
+  forall {m : ENat} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Iff (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) n) (Eq.{1} ENat m (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_eq_iff ENat.toNat_eq_iffₓ'. -/
 theorem toNat_eq_iff {m : ℕ∞} {n : ℕ} (hn : n ≠ 0) : m.toNat = n ↔ m = n := by
   induction m using WithTop.recTopCoe <;> simp [hn.symm]

ceb887dd

bump to nightly-2023-05-16-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

9cb92e8c

Diff

@@ -156,7 +156,7 @@ alias coe_to_nat_eq_self ↔ _ coe_to_nat
 
 /- warning: enat.coe_to_nat_le_self -> ENat.coe_toNat_le_self is a dubious translation:
 lean 3 declaration is
-  forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n
+  forall (n : ENat), LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n
 but is expected to have type
   forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat_le_self ENat.coe_toNat_le_selfₓ'. -/
@@ -213,7 +213,7 @@ theorem succ_def (m : ℕ∞) : Order.succ m = m + 1 := by cases m <;> rfl
 
 /- warning: enat.add_one_le_of_lt -> ENat.add_one_le_of_lt is a dubious translation:
 lean 3 declaration is
-  forall {m : ENat} {n : ENat}, (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m n) -> (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne)))))) n)
+  forall {m : ENat} {n : ENat}, (LT.lt.{0} ENat (Preorder.toHasLt.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m n) -> (LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne)))))) n)
 but is expected to have type
   forall {m : ENat} {n : ENat}, (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) m n) -> (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring)))) n)
 Case conversion may be inaccurate. Consider using '#align enat.add_one_le_of_lt ENat.add_one_le_of_ltₓ'. -/
@@ -223,7 +223,7 @@ theorem add_one_le_of_lt (h : m < n) : m + 1 ≤ n :=
 
 /- warning: enat.add_one_le_iff -> ENat.add_one_le_iff is a dubious translation:
 lean 3 declaration is
-  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat ENat.hasTop)) -> (Iff (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne)))))) n) (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m n))
+  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat ENat.hasTop)) -> (Iff (LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne)))))) n) (LT.lt.{0} ENat (Preorder.toHasLt.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m n))
 but is expected to have type
   forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat instENatTop)) -> (Iff (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring)))) n) (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) m n))
 Case conversion may be inaccurate. Consider using '#align enat.add_one_le_iff ENat.add_one_le_iffₓ'. -/
@@ -233,7 +233,7 @@ theorem add_one_le_iff (hm : m ≠ ⊤) : m + 1 ≤ n ↔ m < n :=
 
 /- warning: enat.one_le_iff_pos -> ENat.one_le_iff_pos is a dubious translation:
 lean 3 declaration is
-  forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne))))) n) (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (OfNat.ofNat.{0} ENat 0 (OfNat.mk.{0} ENat 0 (Zero.zero.{0} ENat ENat.hasZero))) n)
+  forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne))))) n) (LT.lt.{0} ENat (Preorder.toHasLt.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (OfNat.ofNat.{0} ENat 0 (OfNat.mk.{0} ENat 0 (Zero.zero.{0} ENat ENat.hasZero))) n)
 but is expected to have type
   forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring))) n) (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (OfNat.ofNat.{0} ENat 0 (Zero.toOfNat0.{0} ENat instENatZero)) n)
 Case conversion may be inaccurate. Consider using '#align enat.one_le_iff_pos ENat.one_le_iff_posₓ'. -/
@@ -243,7 +243,7 @@ theorem one_le_iff_pos : 1 ≤ n ↔ 0 < n :=
 
 /- warning: enat.one_le_iff_ne_zero -> ENat.one_le_iff_ne_zero is a dubious translation:
 lean 3 declaration is
-  forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne))))) n) (Ne.{1} ENat n (OfNat.ofNat.{0} ENat 0 (OfNat.mk.{0} ENat 0 (Zero.zero.{0} ENat ENat.hasZero))))
+  forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne))))) n) (Ne.{1} ENat n (OfNat.ofNat.{0} ENat 0 (OfNat.mk.{0} ENat 0 (Zero.zero.{0} ENat ENat.hasZero))))
 but is expected to have type
   forall {n : ENat}, Iff (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring))) n) (Ne.{1} ENat n (OfNat.ofNat.{0} ENat 0 (Zero.toOfNat0.{0} ENat instENatZero)))
 Case conversion may be inaccurate. Consider using '#align enat.one_le_iff_ne_zero ENat.one_le_iff_ne_zeroₓ'. -/
@@ -253,7 +253,7 @@ theorem one_le_iff_ne_zero : 1 ≤ n ↔ n ≠ 0 :=
 
 /- warning: enat.le_of_lt_add_one -> ENat.le_of_lt_add_one is a dubious translation:
 lean 3 declaration is
-  forall {m : ENat} {n : ENat}, (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) n (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne))))))) -> (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m n)
+  forall {m : ENat} {n : ENat}, (LT.lt.{0} ENat (Preorder.toHasLt.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) n (OfNat.ofNat.{0} ENat 1 (OfNat.mk.{0} ENat 1 (One.one.{0} ENat (AddMonoidWithOne.toOne.{0} ENat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} ENat ENat.addCommMonoidWithOne))))))) -> (LE.le.{0} ENat (Preorder.toHasLe.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) m n)
 but is expected to have type
   forall {m : ENat} {n : ENat}, (LT.lt.{0} ENat (Preorder.toLT.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) m (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) n (OfNat.ofNat.{0} ENat 1 (One.toOfNat1.{0} ENat (CanonicallyOrderedCommSemiring.toOne.{0} ENat instENatCanonicallyOrderedCommSemiring))))) -> (LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) m n)
 Case conversion may be inaccurate. Consider using '#align enat.le_of_lt_add_one ENat.le_of_lt_add_oneₓ'. -/

ceb887dd

bump to nightly-2023-03-15-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a313d8bba1bad05faba71a4a4e9742ab5bd9efd

4e269297

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module data.enat.basic
-! leanprover-community/mathlib commit a11f9106a169dd302a285019e5165f8ab32ff433
+! leanprover-community/mathlib commit ceb887ddf3344dab425292e497fa2af91498437c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -48,7 +48,8 @@ instance : IsWellOrder ℕ∞ (· < ·) where
 variable {m n : ℕ∞}
 
 #print ENat.coe_zero /-
-@[simp, norm_cast]
+-- eligible for `dsimp`
+@[simp, nolint simp_nf, norm_cast]
 theorem coe_zero : ((0 : ℕ) : ℕ∞) = 0 :=
   rfl
 #align enat.coe_zero ENat.coe_zero

a11f9106

bump to nightly-2023-03-11-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

a8ee822f

Diff

@@ -115,7 +115,7 @@ def toNat : MonoidWithZeroHom ℕ∞ ℕ
 lean 3 declaration is
   forall (n : Nat), Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) n)) n
 but is expected to have type
-  forall (n : Nat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) n
+  forall (n : Nat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) n
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_coe ENat.toNat_coeₓ'. -/
 @[simp]
 theorem toNat_coe (n : ℕ) : toNat n = n :=
@@ -126,7 +126,7 @@ theorem toNat_coe (n : ℕ) : toNat n = n :=
 lean 3 declaration is
   Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (Top.top.{0} ENat ENat.hasTop)) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))
 but is expected to have type
-  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Top.top.{0} ENat instENatTop)) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) 0 (instOfNatNat 0))
+  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Top.top.{0} ENat instENatTop)) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) 0 (instOfNatNat 0))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_top ENat.toNat_topₓ'. -/
 @[simp]
 theorem toNat_top : toNat ⊤ = 0 :=
@@ -137,7 +137,7 @@ theorem toNat_top : toNat ⊤ = 0 :=
 lean 3 declaration is
   forall {n : ENat}, Iff (Eq.{1} ENat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n) (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop))
 but is expected to have type
-  forall {n : ENat}, Iff (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n) (Ne.{1} ENat n (Top.top.{0} ENat instENatTop))
+  forall {n : ENat}, Iff (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n) (Ne.{1} ENat n (Top.top.{0} ENat instENatTop))
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_selfₓ'. -/
 @[simp]
 theorem coe_toNat_eq_self : ↑n.toNat = n ↔ n ≠ ⊤ :=
@@ -148,7 +148,7 @@ theorem coe_toNat_eq_self : ↑n.toNat = n ↔ n ≠ ⊤ :=
 lean 3 declaration is
   forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (Eq.{1} ENat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n)
 but is expected to have type
-  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n)
+  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n)
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat ENat.coe_toNatₓ'. -/
 alias coe_to_nat_eq_self ↔ _ coe_to_nat
 #align enat.coe_to_nat ENat.coe_toNat
@@ -157,7 +157,7 @@ alias coe_to_nat_eq_self ↔ _ coe_to_nat
 lean 3 declaration is
   forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n
 but is expected to have type
-  forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n
+  forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat_le_self ENat.coe_toNat_le_selfₓ'. -/
 theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
   WithTop.recTopCoe le_top (fun k => le_rfl) n
@@ -167,7 +167,7 @@ theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
 lean 3 declaration is
   forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat ENat.hasTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)))
 but is expected to have type
-  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat instENatTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) (instHAdd.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) instAddNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
+  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat instENatTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) (instHAdd.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) instAddNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_add ENat.toNat_addₓ'. -/
 theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m + n) = toNat m + toNat n :=
   by
@@ -180,7 +180,7 @@ theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m +
 lean 3 declaration is
   forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (forall (m : ENat), Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat ENat.hasSub) m n)) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)))
 but is expected to have type
-  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (forall (m : ENat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (HSub.hSub.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) (instHSub.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) instSubNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
+  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (forall (m : ENat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (HSub.hSub.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) (instHSub.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) instSubNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_sub ENat.toNat_subₓ'. -/
 theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = toNat m - toNat n :=
   by
@@ -194,7 +194,7 @@ theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = t
 lean 3 declaration is
   forall {m : ENat} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Iff (Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) n) (Eq.{1} ENat m ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) n)))
 but is expected to have type
-  forall {m : ENat} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Iff (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) n) (Eq.{1} ENat m (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)))
+  forall {m : ENat} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Iff (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) n) (Eq.{1} ENat m (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_eq_iff ENat.toNat_eq_iffₓ'. -/
 theorem toNat_eq_iff {m : ℕ∞} {n : ℕ} (hn : n ≠ 0) : m.toNat = n ↔ m = n := by
   induction m using WithTop.recTopCoe <;> simp [hn.symm]

a11f9106

bump to nightly-2023-03-08-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5

10f15343

Diff

@@ -115,7 +115,7 @@ def toNat : MonoidWithZeroHom ℕ∞ ℕ
 lean 3 declaration is
   forall (n : Nat), Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) n)) n
 but is expected to have type
-  forall (n : Nat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) n
+  forall (n : Nat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)) n
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_coe ENat.toNat_coeₓ'. -/
 @[simp]
 theorem toNat_coe (n : ℕ) : toNat n = n :=
@@ -126,7 +126,7 @@ theorem toNat_coe (n : ℕ) : toNat n = n :=
 lean 3 declaration is
   Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (Top.top.{0} ENat ENat.hasTop)) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))
 but is expected to have type
-  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Top.top.{0} ENat instENatTop)) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) 0 (instOfNatNat 0))
+  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (Top.top.{0} ENat instENatTop)) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (Top.top.{0} ENat instENatTop)) 0 (instOfNatNat 0))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_top ENat.toNat_topₓ'. -/
 @[simp]
 theorem toNat_top : toNat ⊤ = 0 :=
@@ -137,7 +137,7 @@ theorem toNat_top : toNat ⊤ = 0 :=
 lean 3 declaration is
   forall {n : ENat}, Iff (Eq.{1} ENat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n) (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop))
 but is expected to have type
-  forall {n : ENat}, Iff (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n) (Ne.{1} ENat n (Top.top.{0} ENat instENatTop))
+  forall {n : ENat}, Iff (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n) (Ne.{1} ENat n (Top.top.{0} ENat instENatTop))
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_selfₓ'. -/
 @[simp]
 theorem coe_toNat_eq_self : ↑n.toNat = n ↔ n ≠ ⊤ :=
@@ -148,7 +148,7 @@ theorem coe_toNat_eq_self : ↑n.toNat = n ↔ n ≠ ⊤ :=
 lean 3 declaration is
   forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (Eq.{1} ENat ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n)
 but is expected to have type
-  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n)
+  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ENat (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n)
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat ENat.coe_toNatₓ'. -/
 alias coe_to_nat_eq_self ↔ _ coe_to_nat
 #align enat.coe_to_nat ENat.coe_toNat
@@ -157,7 +157,7 @@ alias coe_to_nat_eq_self ↔ _ coe_to_nat
 lean 3 declaration is
   forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedAddCommMonoid.toPartialOrder.{0} ENat (OrderedSemiring.toOrderedAddCommMonoid.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)) n
 but is expected to have type
-  forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n
+  forall (n : ENat), LE.le.{0} ENat (Preorder.toLE.{0} ENat (PartialOrder.toPreorder.{0} ENat (OrderedSemiring.toPartialOrder.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)) n
 Case conversion may be inaccurate. Consider using '#align enat.coe_to_nat_le_self ENat.coe_toNat_le_selfₓ'. -/
 theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
   WithTop.recTopCoe le_top (fun k => le_rfl) n
@@ -167,7 +167,7 @@ theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=
 lean 3 declaration is
   forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat ENat.hasTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toHasAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)))
 but is expected to have type
-  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat instENatTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) m) (instHAdd.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) m) instAddNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
+  forall {m : ENat} {n : ENat}, (Ne.{1} ENat m (Top.top.{0} ENat instENatTop)) -> (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HAdd.hAdd.{0, 0, 0} ENat ENat ENat (instHAdd.{0} ENat (Distrib.toAdd.{0} ENat (NonUnitalNonAssocSemiring.toDistrib.{0} ENat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))))) m n)) (HAdd.hAdd.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) (instHAdd.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) instAddNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_add ENat.toNat_addₓ'. -/
 theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m + n) = toNat m + toNat n :=
   by
@@ -180,7 +180,7 @@ theorem toNat_add {m n : ℕ∞} (hm : m ≠ ⊤) (hn : n ≠ ⊤) : toNat (m +
 lean 3 declaration is
   forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat ENat.hasTop)) -> (forall (m : ENat), Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat ENat.hasSub) m n)) (HSub.hSub.{0, 0, 0} Nat Nat Nat (instHSub.{0} Nat Nat.hasSub) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat n)))
 but is expected to have type
-  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (forall (m : ENat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (HSub.hSub.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) m) (instHSub.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) m) instSubNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
+  forall {n : ENat}, (Ne.{1} ENat n (Top.top.{0} ENat instENatTop)) -> (forall (m : ENat), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat (HSub.hSub.{0, 0, 0} ENat ENat ENat (instHSub.{0} ENat instENatSub) m n)) (HSub.hSub.{0, 0, 0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) n) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) (instHSub.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) instSubNat) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat n)))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_sub ENat.toNat_subₓ'. -/
 theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = toNat m - toNat n :=
   by
@@ -194,7 +194,7 @@ theorem toNat_sub {n : ℕ∞} (hn : n ≠ ⊤) (m : ℕ∞) : toNat (m - n) = t
 lean 3 declaration is
   forall {m : ENat} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Iff (Eq.{1} Nat (coeFn.{1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (fun (_x : MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) => ENat -> Nat) (MonoidWithZeroHom.hasCoeToFun.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat ENat.canonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat.toNat m) n) (Eq.{1} ENat m ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat ENat (HasLiftT.mk.{1, 1} Nat ENat (CoeTCₓ.coe.{1, 1} Nat ENat ENat.hasCoeT)) n)))
 but is expected to have type
-  forall {m : ENat} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Iff (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) n) (Eq.{1} ENat m (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)))
+  forall {m : ENat} {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Iff (Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) m) (FunLike.coe.{1, 1, 1} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat (fun (_x : ENat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : ENat) => Nat) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulOneClass.toMul.{0} ENat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))))) (MulOneClass.toMul.{0} Nat (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (MulZeroOneClass.toMulOneClass.{0} ENat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring)))))) (MulZeroOneClass.toMulOneClass.{0} Nat (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (MonoidWithZeroHomClass.toMonoidHomClass.{0, 0, 0} (MonoidWithZeroHom.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)) (MonoidWithZeroHom.monoidWithZeroHomClass.{0, 0} ENat Nat (NonAssocSemiring.toMulZeroOneClass.{0} ENat (Semiring.toNonAssocSemiring.{0} ENat (OrderedSemiring.toSemiring.{0} ENat (OrderedCommSemiring.toOrderedSemiring.{0} ENat (CanonicallyOrderedCommSemiring.toOrderedCommSemiring.{0} ENat instENatCanonicallyOrderedCommSemiring))))) (NonAssocSemiring.toMulZeroOneClass.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring)))))) ENat.toNat m) n) (Eq.{1} ENat m (Nat.cast.{0} ENat (CanonicallyOrderedCommSemiring.toNatCast.{0} ENat instENatCanonicallyOrderedCommSemiring) n)))
 Case conversion may be inaccurate. Consider using '#align enat.to_nat_eq_iff ENat.toNat_eq_iffₓ'. -/
 theorem toNat_eq_iff {m : ℕ∞} {n : ℕ} (hn : n ≠ 0) : m.toNat = n ↔ m = n := by
   induction m using WithTop.recTopCoe <;> simp [hn.symm]

a11f9106

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

ceb887dd

chore: classify new definition porting notes (#11446)

Classifies by adding issue number #11445 to porting notes claiming anything equivalent to:

"new definition"
"added definition"

3fcb743a

Diff

@@ -121,7 +121,7 @@ theorem toNat_top : toNat ⊤ = 0 :=
 
 @[simp] theorem toNat_eq_zero : toNat n = 0 ↔ n = 0 ∨ n = ⊤ := WithTop.untop'_eq_self_iff
 
--- Porting note: new definition copied from `WithTop`
+-- Porting note (#11445): new definition copied from `WithTop`
 /-- Recursor for `ENat` using the preferred forms `⊤` and `↑a`. -/
 @[elab_as_elim]
 def recTopCoe {C : ℕ∞ → Sort*} (top : C ⊤) (coe : ∀ a : ℕ, C a) : ∀ n : ℕ∞, C n

ceb887dd

chore: classify new theorem / theorem porting notes (#11432)

Classifies by adding issue number #10756 to porting notes claiming anything equivalent to:

"added theorem"
"added theorems"
"new theorem"
"new theorems"
"added lemma"
"new lemma"
"new lemmas"

55fe4027

Diff

@@ -128,13 +128,13 @@ def recTopCoe {C : ℕ∞ → Sort*} (top : C ⊤) (coe : ∀ a : ℕ, C a) : 
   | none => top
   | Option.some a => coe a
 
--- Porting note: new theorem copied from `WithTop`
+-- Porting note (#10756): new theorem copied from `WithTop`
 @[simp]
 theorem recTopCoe_top {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a) :
     @recTopCoe C d f ⊤ = d :=
   rfl
 
--- Porting note: new theorem copied from `WithTop`
+-- Porting note (#10756): new theorem copied from `WithTop`
 @[simp]
 theorem recTopCoe_coe {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a) (x : ℕ) :
     @recTopCoe C d f ↑x = f x :=
@@ -154,7 +154,7 @@ theorem recTopCoe_ofNat {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a
     @recTopCoe C d f (no_index (OfNat.ofNat x)) = f (OfNat.ofNat x) :=
   rfl
 
--- Porting note: new theorem copied from `WithTop`
+-- Porting note (#10756): new theorem copied from `WithTop`
 @[simp]
 theorem top_ne_coe (a : ℕ) : ⊤ ≠ (a : ℕ∞) :=
   nofun
@@ -164,7 +164,7 @@ theorem top_ne_coe (a : ℕ) : ⊤ ≠ (a : ℕ∞) :=
 theorem top_ne_ofNat (a : ℕ) [a.AtLeastTwo] : ⊤ ≠ (no_index (OfNat.ofNat a : ℕ∞)) :=
   nofun
 
--- Porting note: new theorem copied from `WithTop`
+-- Porting note (#10756): new theorem copied from `WithTop`
 @[simp]
 theorem coe_ne_top (a : ℕ) : (a : ℕ∞) ≠ ⊤ :=
   nofun
@@ -174,7 +174,7 @@ theorem coe_ne_top (a : ℕ) : (a : ℕ∞) ≠ ⊤ :=
 theorem ofNat_ne_top (a : ℕ) [a.AtLeastTwo] : (no_index (OfNat.ofNat a : ℕ∞)) ≠ ⊤ :=
   nofun
 
--- Porting note: new theorem copied from `WithTop`
+-- Porting note (#10756): new theorem copied from `WithTop`
 @[simp]
 theorem top_sub_coe (a : ℕ) : (⊤ : ℕ∞) - a = ⊤ :=
   WithTop.top_sub_coe
@@ -192,7 +192,7 @@ theorem top_sub_ofNat (a : ℕ) [a.AtLeastTwo] : (⊤ : ℕ∞) - (no_index (OfN
 theorem zero_lt_top : (0 : ℕ∞) < ⊤ :=
   WithTop.zero_lt_top
 
--- Porting note: new theorem copied from `WithTop`
+-- Porting note (#10756): new theorem copied from `WithTop`
 theorem sub_top (a : ℕ∞) : a - ⊤ = 0 :=
   WithTop.sub_top

ceb887dd

chore: move Mathlib to v4.7.0-rc1 (#11162)

This is a very large PR, but it has been reviewed piecemeal already in PRs to the bump/v4.7.0 branch as we update to intermediate nightlies.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: damiano <adomani@gmail.com>

fa48894a

Diff

@@ -157,22 +157,22 @@ theorem recTopCoe_ofNat {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a
 -- Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem top_ne_coe (a : ℕ) : ⊤ ≠ (a : ℕ∞) :=
-  fun.
+  nofun
 
 -- See note [no_index around OfNat.ofNat]
 @[simp]
 theorem top_ne_ofNat (a : ℕ) [a.AtLeastTwo] : ⊤ ≠ (no_index (OfNat.ofNat a : ℕ∞)) :=
-  fun.
+  nofun
 
 -- Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem coe_ne_top (a : ℕ) : (a : ℕ∞) ≠ ⊤ :=
-  fun.
+  nofun
 
 -- See note [no_index around OfNat.ofNat]
 @[simp]
 theorem ofNat_ne_top (a : ℕ) [a.AtLeastTwo] : (no_index (OfNat.ofNat a : ℕ∞)) ≠ ⊤ :=
-  fun.
+  nofun
 
 -- Porting note: new theorem copied from `WithTop`
 @[simp]

ceb887dd

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

converts "--porting note" into "-- Porting note";
converts "porting note" into "Porting note".

8be0b69c

Diff

@@ -44,7 +44,7 @@ notation "ℕ∞" => ENat
 
 namespace ENat
 
---Porting note: instances that derive failed to find
+-- Porting note: instances that derive failed to find
 instance : OrderBot ℕ∞ := WithTop.orderBot
 instance : OrderTop ℕ∞ := WithTop.orderTop
 instance : OrderedSub ℕ∞ := inferInstanceAs (OrderedSub (WithTop ℕ))
@@ -59,19 +59,19 @@ variable {m n : ℕ∞}
 `ℕ → ℕ∞` is `Nat.cast`. -/
 @[simp] theorem some_eq_coe : (WithTop.some : ℕ → ℕ∞) = Nat.cast := rfl
 
---Porting note: `simp` and `norm_cast` can prove it
+-- Porting note: `simp` and `norm_cast` can prove it
 --@[simp, norm_cast]
 theorem coe_zero : ((0 : ℕ) : ℕ∞) = 0 :=
   rfl
 #align enat.coe_zero ENat.coe_zero
 
---Porting note: `simp` and `norm_cast` can prove it
+-- Porting note: `simp` and `norm_cast` can prove it
 --@[simp, norm_cast]
 theorem coe_one : ((1 : ℕ) : ℕ∞) = 1 :=
   rfl
 #align enat.coe_one ENat.coe_one
 
---Porting note: `simp` and `norm_cast` can prove it
+-- Porting note: `simp` and `norm_cast` can prove it
 --@[simp, norm_cast]
 theorem coe_add (m n : ℕ) : ↑(m + n) = (m + n : ℕ∞) :=
   rfl
@@ -121,20 +121,20 @@ theorem toNat_top : toNat ⊤ = 0 :=
 
 @[simp] theorem toNat_eq_zero : toNat n = 0 ↔ n = 0 ∨ n = ⊤ := WithTop.untop'_eq_self_iff
 
---Porting note: new definition copied from `WithTop`
+-- Porting note: new definition copied from `WithTop`
 /-- Recursor for `ENat` using the preferred forms `⊤` and `↑a`. -/
 @[elab_as_elim]
 def recTopCoe {C : ℕ∞ → Sort*} (top : C ⊤) (coe : ∀ a : ℕ, C a) : ∀ n : ℕ∞, C n
   | none => top
   | Option.some a => coe a
 
---Porting note: new theorem copied from `WithTop`
+-- Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem recTopCoe_top {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a) :
     @recTopCoe C d f ⊤ = d :=
   rfl
 
---Porting note: new theorem copied from `WithTop`
+-- Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem recTopCoe_coe {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a) (x : ℕ) :
     @recTopCoe C d f ↑x = f x :=
@@ -154,7 +154,7 @@ theorem recTopCoe_ofNat {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a
     @recTopCoe C d f (no_index (OfNat.ofNat x)) = f (OfNat.ofNat x) :=
   rfl
 
---Porting note: new theorem copied from `WithTop`
+-- Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem top_ne_coe (a : ℕ) : ⊤ ≠ (a : ℕ∞) :=
   fun.
@@ -164,7 +164,7 @@ theorem top_ne_coe (a : ℕ) : ⊤ ≠ (a : ℕ∞) :=
 theorem top_ne_ofNat (a : ℕ) [a.AtLeastTwo] : ⊤ ≠ (no_index (OfNat.ofNat a : ℕ∞)) :=
   fun.
 
---Porting note: new theorem copied from `WithTop`
+-- Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem coe_ne_top (a : ℕ) : (a : ℕ∞) ≠ ⊤ :=
   fun.
@@ -174,7 +174,7 @@ theorem coe_ne_top (a : ℕ) : (a : ℕ∞) ≠ ⊤ :=
 theorem ofNat_ne_top (a : ℕ) [a.AtLeastTwo] : (no_index (OfNat.ofNat a : ℕ∞)) ≠ ⊤ :=
   fun.
 
---Porting note: new theorem copied from `WithTop`
+-- Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem top_sub_coe (a : ℕ) : (⊤ : ℕ∞) - a = ⊤ :=
   WithTop.top_sub_coe
@@ -192,7 +192,7 @@ theorem top_sub_ofNat (a : ℕ) [a.AtLeastTwo] : (⊤ : ℕ∞) - (no_index (OfN
 theorem zero_lt_top : (0 : ℕ∞) < ⊤ :=
   WithTop.zero_lt_top
 
---Porting note: new theorem copied from `WithTop`
+-- Porting note: new theorem copied from `WithTop`
 theorem sub_top (a : ℕ∞) : a - ⊤ = 0 :=
   WithTop.sub_top

ceb887dd

chore: add lemmas for nat literals corresponding to lemmas for nat casts (#8006)

I loogled for every occurrence of "cast", Nat and "natCast" and where the casted nat was n, and made sure there were corresponding @[simp] lemmas for 0, 1, and OfNat.ofNat n. This is necessary in general for simp confluence. Example:

import Mathlib

variable {α : Type*} [LinearOrderedRing α] (m n : ℕ) [m.AtLeastTwo] [n.AtLeastTwo]

example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by
  simp only [Nat.cast_le] -- this `@[simp]` lemma can apply

example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) := by
  simp only [Nat.cast_ofNat] -- and so can this one

example : (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by
  simp -- fails! `simp` doesn't have a lemma to bridge their results. confluence issue.

As far as I know, the only file this PR leaves with ofNat gaps is PartENat.lean. #8002 is addressing that file in parallel.

Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

bbe9baad

Diff

@@ -109,6 +109,11 @@ theorem toNat_coe (n : ℕ) : toNat n = n :=
   rfl
 #align enat.to_nat_coe ENat.toNat_coe
 
+-- See note [no_index around OfNat.ofNat]
+@[simp]
+theorem toNat_ofNat (n : ℕ) [n.AtLeastTwo] : toNat (no_index (OfNat.ofNat n)) = n :=
+  rfl
+
 @[simp]
 theorem toNat_top : toNat ⊤ = 0 :=
   rfl
@@ -135,21 +140,54 @@ theorem recTopCoe_coe {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a)
     @recTopCoe C d f ↑x = f x :=
   rfl
 
+@[simp]
+theorem recTopCoe_zero {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a) : @recTopCoe C d f 0 = f 0 :=
+  rfl
+
+@[simp]
+theorem recTopCoe_one {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a) : @recTopCoe C d f 1 = f 1 :=
+  rfl
+
+-- See note [no_index around OfNat.ofNat]
+@[simp]
+theorem recTopCoe_ofNat {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a) (x : ℕ) [x.AtLeastTwo] :
+    @recTopCoe C d f (no_index (OfNat.ofNat x)) = f (OfNat.ofNat x) :=
+  rfl
+
 --Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem top_ne_coe (a : ℕ) : ⊤ ≠ (a : ℕ∞) :=
   fun.
 
+-- See note [no_index around OfNat.ofNat]
+@[simp]
+theorem top_ne_ofNat (a : ℕ) [a.AtLeastTwo] : ⊤ ≠ (no_index (OfNat.ofNat a : ℕ∞)) :=
+  fun.
+
 --Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem coe_ne_top (a : ℕ) : (a : ℕ∞) ≠ ⊤ :=
   fun.
 
+-- See note [no_index around OfNat.ofNat]
+@[simp]
+theorem ofNat_ne_top (a : ℕ) [a.AtLeastTwo] : (no_index (OfNat.ofNat a : ℕ∞)) ≠ ⊤ :=
+  fun.
+
 --Porting note: new theorem copied from `WithTop`
 @[simp]
 theorem top_sub_coe (a : ℕ) : (⊤ : ℕ∞) - a = ⊤ :=
   WithTop.top_sub_coe
 
+@[simp]
+theorem top_sub_one : (⊤ : ℕ∞) - 1 = ⊤ :=
+  top_sub_coe 1
+
+-- See note [no_index around OfNat.ofNat]
+@[simp]
+theorem top_sub_ofNat (a : ℕ) [a.AtLeastTwo] : (⊤ : ℕ∞) - (no_index (OfNat.ofNat a)) = ⊤ :=
+  top_sub_coe a
+
 @[simp]
 theorem zero_lt_top : (0 : ℕ∞) < ⊤ :=
   WithTop.zero_lt_top
@@ -159,7 +197,7 @@ theorem sub_top (a : ℕ∞) : a - ⊤ = 0 :=
   WithTop.sub_top
 
 @[simp]
-theorem coe_toNat_eq_self : ENat.toNat (n : ℕ∞) = n ↔ n ≠ ⊤ :=
+theorem coe_toNat_eq_self : ENat.toNat n = n ↔ n ≠ ⊤ :=
   ENat.recTopCoe (by decide) (fun _ => by simp [toNat_coe]) n
 #align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_self

ceb887dd

feat(ENat): add several lemmas (#10508)

Add lemmas needed for #10472

5cc14ef3

Diff

@@ -114,6 +114,8 @@ theorem toNat_top : toNat ⊤ = 0 :=
   rfl
 #align enat.to_nat_top ENat.toNat_top
 
+@[simp] theorem toNat_eq_zero : toNat n = 0 ↔ n = 0 ∨ n = ⊤ := WithTop.untop'_eq_self_iff
+
 --Porting note: new definition copied from `WithTop`
 /-- Recursor for `ENat` using the preferred forms `⊤` and `↑a`. -/
 @[elab_as_elim]

ceb887dd

feat: Make the coercion ℝ≥0 → ℝ≥0∞ commute defeqly with nsmul and pow (#10225)

by tweaking the definition of the AddMonoid and MonoidWithZero instances for WithTop. Also unprotect ENNReal.coe_injective and rename ENNReal.coe_eq_coe → ENNReal.coe_inj.

From LeanAPAP

0174e788

Diff

@@ -82,10 +82,8 @@ theorem coe_sub (m n : ℕ) : ↑(m - n) = (m - n : ℕ∞) :=
   rfl
 #align enat.coe_sub ENat.coe_sub
 
---Porting note: `simp` and `norm_cast` can prove it
---@[simp, norm_cast]
-theorem coe_mul (m n : ℕ) : ↑(m * n) = (m * n : ℕ∞) :=
-  WithTop.coe_mul
+-- Eligible for dsimp
+@[simp, nolint simpNF] lemma coe_mul (m n : ℕ) : ↑(m * n) = (m * n : ℕ∞) := rfl
 #align enat.coe_mul ENat.coe_mul
 
 @[simp] theorem mul_top (hm : m ≠ 0) : m * ⊤ = ⊤ := WithTop.mul_top hm

ceb887dd

chore(ENat/Basic): review (#9787)

Add ENat.mul_top and ENat.top_mul.
Remove some newlines.
Rename assumptions in ENat.recTopCoe.

a316e2b3

Diff

@@ -88,8 +88,10 @@ theorem coe_mul (m n : ℕ) : ↑(m * n) = (m * n : ℕ∞) :=
   WithTop.coe_mul
 #align enat.coe_mul ENat.coe_mul
 
-instance canLift : CanLift ℕ∞ ℕ (↑) fun n => n ≠ ⊤ :=
-  WithTop.canLift
+@[simp] theorem mul_top (hm : m ≠ 0) : m * ⊤ = ⊤ := WithTop.mul_top hm
+@[simp] theorem top_mul (hm : m ≠ 0) : ⊤ * m = ⊤ := WithTop.top_mul hm
+
+instance canLift : CanLift ℕ∞ ℕ (↑) (· ≠ ⊤) := WithTop.canLift
 #align enat.can_lift ENat.canLift
 
 instance : WellFoundedRelation ℕ∞ where
@@ -97,8 +99,7 @@ instance : WellFoundedRelation ℕ∞ where
   wf := IsWellFounded.wf
 
 /-- Conversion of `ℕ∞` to `ℕ` sending `∞` to `0`. -/
-def toNat : MonoidWithZeroHom ℕ∞ ℕ
-    where
+def toNat : MonoidWithZeroHom ℕ∞ ℕ where
   toFun := WithTop.untop' 0
   map_one' := rfl
   map_zero' := rfl
@@ -118,9 +119,9 @@ theorem toNat_top : toNat ⊤ = 0 :=
 --Porting note: new definition copied from `WithTop`
 /-- Recursor for `ENat` using the preferred forms `⊤` and `↑a`. -/
 @[elab_as_elim]
-def recTopCoe {C : ℕ∞ → Sort*} (h₁ : C ⊤) (h₂ : ∀ a : ℕ, C a) : ∀ n : ℕ∞, C n
-  | none => h₁
-  | Option.some a => h₂ a
+def recTopCoe {C : ℕ∞ → Sort*} (top : C ⊤) (coe : ∀ a : ℕ, C a) : ∀ n : ℕ∞, C n
+  | none => top
+  | Option.some a => coe a
 
 --Porting note: new theorem copied from `WithTop`
 @[simp]

ceb887dd

chore: bump to v4.3.0-rc2 (#8366)

PR contents

This is the supremum of

#8284
#8056
#8023
#8332
#8226 (already approved)
#7834 (already approved)

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

switching to using explicit lemmas that have the intended level of application
(config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

40b64f79

Diff

@@ -149,13 +149,17 @@ theorem coe_ne_top (a : ℕ) : (a : ℕ∞) ≠ ⊤ :=
 theorem top_sub_coe (a : ℕ) : (⊤ : ℕ∞) - a = ⊤ :=
   WithTop.top_sub_coe
 
+@[simp]
+theorem zero_lt_top : (0 : ℕ∞) < ⊤ :=
+  WithTop.zero_lt_top
+
 --Porting note: new theorem copied from `WithTop`
 theorem sub_top (a : ℕ∞) : a - ⊤ = 0 :=
   WithTop.sub_top
 
 @[simp]
 theorem coe_toNat_eq_self : ENat.toNat (n : ℕ∞) = n ↔ n ≠ ⊤ :=
-  ENat.recTopCoe (by simp) (fun _ => by simp [toNat_coe]) n
+  ENat.recTopCoe (by decide) (fun _ => by simp [toNat_coe]) n
 #align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_self
 
 alias ⟨_, coe_toNat⟩ := coe_toNat_eq_self

ceb887dd

chore: rename CanonicallyOrderedAddMonoid to ..AddCommMonoid (#7503)

Renames:

CanonicallyOrderedMonoid -> CanonicallyOrderedCommMonoid

CanonicallyOrderedAddMonoid -> CanonicallyOrderedAddCommMonoid

CanonicallyLinearOrderedMonoid -> CanonicallyLinearOrderedCommMonoid

CanonicallyLinearOrderedAddMonoid -> CanonicallyLinearOrderedAddCommMonoid

f3bc24c3

Diff

@@ -31,7 +31,7 @@ def ENat : Type :=
 deriving Zero,
   -- AddCommMonoidWithOne,
   CanonicallyOrderedCommSemiring, Nontrivial,
-  LinearOrder, Bot, Top, CanonicallyLinearOrderedAddMonoid, Sub,
+  LinearOrder, Bot, Top, CanonicallyLinearOrderedAddCommMonoid, Sub,
   LinearOrderedAddCommMonoidWithTop, WellFoundedRelation, Inhabited
   -- OrderBot, OrderTop, OrderedSub, SuccOrder, WellFoundedLt, CharZero
 #align enat ENat

ceb887dd

chore: exactly 4 spaces in theorems (#7328)

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

d3263b23

Diff

@@ -119,8 +119,8 @@ theorem toNat_top : toNat ⊤ = 0 :=
 /-- Recursor for `ENat` using the preferred forms `⊤` and `↑a`. -/
 @[elab_as_elim]
 def recTopCoe {C : ℕ∞ → Sort*} (h₁ : C ⊤) (h₂ : ∀ a : ℕ, C a) : ∀ n : ℕ∞, C n
-| none => h₁
-| Option.some a => h₂ a
+  | none => h₁
+  | Option.some a => h₂ a
 
 --Porting note: new theorem copied from `WithTop`
 @[simp]

ceb887dd

feat: patch for new alias command (#6172)

19e0ba92

Diff

@@ -158,7 +158,7 @@ theorem coe_toNat_eq_self : ENat.toNat (n : ℕ∞) = n ↔ n ≠ ⊤ :=
   ENat.recTopCoe (by simp) (fun _ => by simp [toNat_coe]) n
 #align enat.coe_to_nat_eq_self ENat.coe_toNat_eq_self
 
-alias coe_toNat_eq_self ↔ _ coe_toNat
+alias ⟨_, coe_toNat⟩ := coe_toNat_eq_self
 #align enat.coe_to_nat ENat.coe_toNat
 
 theorem coe_toNat_le_self (n : ℕ∞) : ↑(toNat n) ≤ n :=

ceb887dd

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.

32de3f67

Diff

@@ -118,19 +118,19 @@ theorem toNat_top : toNat ⊤ = 0 :=
 --Porting note: new definition copied from `WithTop`
 /-- Recursor for `ENat` using the preferred forms `⊤` and `↑a`. -/
 @[elab_as_elim]
-def recTopCoe {C : ℕ∞ → Sort _} (h₁ : C ⊤) (h₂ : ∀ a : ℕ, C a) : ∀ n : ℕ∞, C n
+def recTopCoe {C : ℕ∞ → Sort*} (h₁ : C ⊤) (h₂ : ∀ a : ℕ, C a) : ∀ n : ℕ∞, C n
 | none => h₁
 | Option.some a => h₂ a
 
 --Porting note: new theorem copied from `WithTop`
 @[simp]
-theorem recTopCoe_top {C : ℕ∞ → Sort _} (d : C ⊤) (f : ∀ a : ℕ, C a) :
+theorem recTopCoe_top {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a) :
     @recTopCoe C d f ⊤ = d :=
   rfl
 
 --Porting note: new theorem copied from `WithTop`
 @[simp]
-theorem recTopCoe_coe {C : ℕ∞ → Sort _} (d : C ⊤) (f : ∀ a : ℕ, C a) (x : ℕ) :
+theorem recTopCoe_coe {C : ℕ∞ → Sort*} (d : C ⊤) (f : ∀ a : ℕ, C a) (x : ℕ) :
     @recTopCoe C d f ↑x = f x :=
   rfl

ceb887dd

feat(Data.Set.Ncard): enat set cardinality (#5908)

This PR is a second attempt at defining the cardinality of a set as extended natural number, with a function encard. The implementation involves a refactor, where the existingncard function is redefined in terms of encard. This shortens a lot of proofs, reduces reliance on the Finset API, and allows for a potential future refactor where ncard is removed if it is decided to be redundant.

Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>

444b9f33

Diff

@@ -92,6 +92,10 @@ instance canLift : CanLift ℕ∞ ℕ (↑) fun n => n ≠ ⊤ :=
   WithTop.canLift
 #align enat.can_lift ENat.canLift
 
+instance : WellFoundedRelation ℕ∞ where
+  rel := (· < ·)
+  wf := IsWellFounded.wf
+
 /-- Conversion of `ℕ∞` to `ℕ` sending `∞` to `0`. -/
 def toNat : MonoidWithZeroHom ℕ∞ ℕ
     where
@@ -202,6 +206,9 @@ theorem le_of_lt_add_one (h : m < n + 1) : m ≤ n :=
   Order.le_of_lt_succ <| n.succ_def.symm ▸ h
 #align enat.le_of_lt_add_one ENat.le_of_lt_add_one
 
+theorem le_coe_iff {n : ℕ∞} {k : ℕ} : n ≤ ↑k ↔ ∃ (n₀ : ℕ), n = n₀ ∧ n₀ ≤ k :=
+  WithTop.le_coe_iff
+
 @[elab_as_elim]
 theorem nat_induction {P : ℕ∞ → Prop} (a : ℕ∞) (h0 : P 0) (hsuc : ∀ n : ℕ, P n → P n.succ)
     (htop : (∀ n : ℕ, P n) → P ⊤) : P a := by

ceb887dd

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module data.enat.basic
-! leanprover-community/mathlib commit ceb887ddf3344dab425292e497fa2af91498437c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Nat.SuccPred
 import Mathlib.Algebra.CharZero.Lemmas
 import Mathlib.Algebra.Order.Sub.WithTop
 import Mathlib.Algebra.Order.Ring.WithTop
 
+#align_import data.enat.basic from "leanprover-community/mathlib"@"ceb887ddf3344dab425292e497fa2af91498437c"
+
 /-!
 # Definition and basic properties of extended natural numbers

ceb887dd

chore: cleanup whitespace (#5988)

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

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

12343aa5

Diff

@@ -36,7 +36,7 @@ deriving Zero,
   CanonicallyOrderedCommSemiring, Nontrivial,
   LinearOrder, Bot, Top, CanonicallyLinearOrderedAddMonoid, Sub,
   LinearOrderedAddCommMonoidWithTop, WellFoundedRelation, Inhabited
-  -- OrderBot, OrderTop, OrderedSub,  SuccOrder, WellFoundedLt, CharZero
+  -- OrderBot, OrderTop, OrderedSub, SuccOrder, WellFoundedLt, CharZero
 #align enat ENat
 
 -- Porting Note: In `Data.Nat.ENatPart` proofs timed out when having

ceb887dd

chore: fix focusing dots (#5708)

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

cb02d09e

Diff

@@ -210,8 +210,8 @@ theorem nat_induction {P : ℕ∞ → Prop} (a : ℕ∞) (h0 : P 0) (hsuc : ∀
     (htop : (∀ n : ℕ, P n) → P ⊤) : P a := by
   have A : ∀ n : ℕ, P n := fun n => Nat.recOn n h0 hsuc
   cases a
-  . exact htop A
-  . exact A _
+  · exact htop A
+  · exact A _
 #align enat.nat_induction ENat.nat_induction
 
 end ENat

ceb887dd

feat: port Order.Height (#2186)

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: int-y1 <jason_yuen2007@hotmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

74e4a559

Diff

@@ -18,6 +18,14 @@ import Mathlib.Algebra.Order.Ring.WithTop
 
 In this file we define `ENat` (notation: `ℕ∞`) to be `WithTop ℕ` and prove some basic lemmas
 about this type.
+
+## Implementation details
+
+There are two natural coercions from `ℕ` to `WithTop ℕ = ENat`: `WithTop.some` and `Nat.cast`.  In
+Lean 3, this difference was hidden in typeclass instances. Since these instances were definitionally
+equal, we did not duplicate generic lemmas about `WithTop α` and `WithTop.some` coercion for `ENat`
+and `Nat.cast` coercion. If you need to apply a lemma about `WithTop`, you may either rewrite back
+and forth using `ENat.some_eq_coe`, or restate the lemma for `ENat`.
 -/
 
 /-- Extended natural numbers `ℕ∞ = WithTop ℕ`. -/
@@ -50,6 +58,10 @@ instance : IsWellOrder ℕ∞ (· < ·) where
 
 variable {m n : ℕ∞}
 
+/-- Lemmas about `WithTop` expect (and can output) `WithTop.some` but the normal form for coercion
+`ℕ → ℕ∞` is `Nat.cast`. -/
+@[simp] theorem some_eq_coe : (WithTop.some : ℕ → ℕ∞) = Nat.cast := rfl
+
 --Porting note: `simp` and `norm_cast` can prove it
 --@[simp, norm_cast]
 theorem coe_zero : ((0 : ℕ) : ℕ∞) = 0 :=

ceb887dd

chore: bump SHA in Data/ENat/Basic (#3178)

data.enat.basic@9003f28797c0664a49e4179487267c494477d853..ceb887ddf3344dab425292e497fa2af91498437c

The change in mathlib3 is irrelevant, as coe_zero is no longer a simp lemma.

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

55a5c6b0

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module data.enat.basic
-! leanprover-community/mathlib commit 9003f28797c0664a49e4179487267c494477d853
+! leanprover-community/mathlib commit ceb887ddf3344dab425292e497fa2af91498437c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/

9003f287

feat: port Data.Nat.PartENat (#1892)

port of data.net.part_enat

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Jon Eugster <eugster.jon@gmail.com>

60855258

Diff

@@ -23,23 +23,22 @@ about this type.
 /-- Extended natural numbers `ℕ∞ = WithTop ℕ`. -/
 def ENat : Type :=
   WithTop ℕ
-deriving Zero, AddCommMonoidWithOne, CanonicallyOrderedCommSemiring, Nontrivial,
+deriving Zero,
+  -- AddCommMonoidWithOne,
+  CanonicallyOrderedCommSemiring, Nontrivial,
   LinearOrder, Bot, Top, CanonicallyLinearOrderedAddMonoid, Sub,
   LinearOrderedAddCommMonoidWithTop, WellFoundedRelation, Inhabited
   -- OrderBot, OrderTop, OrderedSub,  SuccOrder, WellFoundedLt, CharZero
 #align enat ENat
 
+-- Porting Note: In `Data.Nat.ENatPart` proofs timed out when having
+-- the `deriving AddCommMonoidWithOne`, and it seems to work without.
 
 /-- Extended natural numbers `ℕ∞ = WithTop ℕ`. -/
 notation "ℕ∞" => ENat
 
 namespace ENat
 
-/-- The canonical map from `ℕ` to `ℕ∞` -/
-@[coe] def ofNat (n : ℕ) : ℕ∞ := WithTop.some n
-
-instance : Coe ℕ ℕ∞ := ⟨ofNat⟩
-
 --Porting note: instances that derive failed to find
 instance : OrderBot ℕ∞ := WithTop.orderBot
 instance : OrderTop ℕ∞ := WithTop.orderTop

9003f287

chore: use inferInstanceAs (#2074)

Drop

by delta mydef; infer_instance. This generates id _ in the proof.
show _, by infer_instance. This generates let in let; not sure if it's bad for defeq but a reducible inferInstanceAs should not be worse.

f9f9320a

Diff

@@ -43,10 +43,10 @@ instance : Coe ℕ ℕ∞ := ⟨ofNat⟩
 --Porting note: instances that derive failed to find
 instance : OrderBot ℕ∞ := WithTop.orderBot
 instance : OrderTop ℕ∞ := WithTop.orderTop
-instance : OrderedSub ℕ∞ := by delta ENat; infer_instance
-instance : SuccOrder ℕ∞ := by delta ENat; infer_instance
-instance : WellFoundedLT ℕ∞ := by delta ENat; infer_instance
-instance : CharZero ℕ∞ := by delta ENat; infer_instance
+instance : OrderedSub ℕ∞ := inferInstanceAs (OrderedSub (WithTop ℕ))
+instance : SuccOrder ℕ∞ := inferInstanceAs (SuccOrder (WithTop ℕ))
+instance : WellFoundedLT ℕ∞ := inferInstanceAs (WellFoundedLT (WithTop ℕ))
+instance : CharZero ℕ∞ := inferInstanceAs (CharZero (WithTop ℕ))
 instance : IsWellOrder ℕ∞ (· < ·) where
 
 variable {m n : ℕ∞}

9003f287

feat: port Data.ENat.Basic (#1531)

Co-authored-by: Chris Hughes <33847686+ChrisHughes24@users.noreply.github.com>

23df7e4a

`data.enat.basic` ⟷ `Mathlib.Data.ENat.Basic`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

PR contents

Lean PRs involved in this bump

leanprover/lean4#2778

leanprover/lean4#2722

leanprover/lean4#2783

Dependencies 3 + 160

data.enat.basic ⟷ Mathlib.Data.ENat.Basic

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

PR contents

Lean PRs involved in this bump

leanprover/lean4#2778

leanprover/lean4#2722

leanprover/lean4#2783

Dependencies 3 + 160

`data.enat.basic` ⟷ `Mathlib.Data.ENat.Basic`