ring_theory.power_series.well_known | Mathlib porting status

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

8199f671

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

38df578a

bump to nightly-2024-04-06-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

e34029c9

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 -/
-import RingTheory.PowerSeries.Basic
+import RingTheory.MvPowerSeries.Basic
 import Data.Nat.Parity
 import Algebra.BigOperators.NatAntidiagonal
 
@@ -58,7 +58,7 @@ theorem invUnitsSub_mul_X (u : Rˣ) : invUnitsSub u * X = invUnitsSub u * C R u
   by
   ext (_ | n)
   · simp
-  · simp [n.succ_ne_zero, pow_succ]
+  · simp [n.succ_ne_zero, pow_succ']
 #align power_series.inv_units_sub_mul_X PowerSeries.invUnitsSub_mul_X
 -/
 
@@ -220,7 +220,7 @@ theorem exp_pow_eq_rescale_exp [Algebra ℚ A] (k : ℕ) : exp A ^ k = rescale (
     simp only [rescale_zero, constant_coeff_exp, Function.comp_apply, map_one, cast_zero, pow_zero,
       coe_comp]
   simpa only [succ_eq_add_one, cast_add, ← exp_mul_exp_eq_exp_add (k : A), ← h, cast_one, id_apply,
-    rescale_one] using pow_succ' (NormedSpace.exp A) k
+    rescale_one] using pow_succ (NormedSpace.exp A) k
 #align power_series.exp_pow_eq_rescale_exp PowerSeries.exp_pow_eq_rescale_exp
 -/

38df578a

bump to nightly-2023-11-29-11

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

049e2cad

Diff

@@ -181,7 +181,7 @@ theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :
     rescale a (exp A) * rescale b (exp A) = rescale (a + b) (exp A) :=
   by
   ext
-  simp only [coeff_mul, exp, rescale, coeff_mk, coe_mk, factorial,
+  simp only [coeff_mul, NormedSpace.exp, rescale, coeff_mk, coe_mk, factorial,
     nat.sum_antidiagonal_eq_sum_range_succ_mk, add_pow, sum_mul]
   apply sum_congr rfl
   rintro x hx
@@ -220,7 +220,7 @@ theorem exp_pow_eq_rescale_exp [Algebra ℚ A] (k : ℕ) : exp A ^ k = rescale (
     simp only [rescale_zero, constant_coeff_exp, Function.comp_apply, map_one, cast_zero, pow_zero,
       coe_comp]
   simpa only [succ_eq_add_one, cast_add, ← exp_mul_exp_eq_exp_add (k : A), ← h, cast_one, id_apply,
-    rescale_one] using pow_succ' (exp A) k
+    rescale_one] using pow_succ' (NormedSpace.exp A) k
 #align power_series.exp_pow_eq_rescale_exp PowerSeries.exp_pow_eq_rescale_exp
 -/

38df578a

bump to nightly-2023-10-04-06

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

7bd6a14d

Diff

@@ -233,7 +233,7 @@ theorem exp_pow_sum [Algebra ℚ A] (n : ℕ) :
   by
   simp only [exp_pow_eq_rescale_exp, rescale]
   ext
-  simp only [one_div, coeff_mk, coe_mk, coeff_exp, factorial, LinearMap.map_sum]
+  simp only [one_div, coeff_mk, coe_mk, coeff_exp, factorial, map_sum]
 #align power_series.exp_pow_sum PowerSeries.exp_pow_sum
 -/

38df578a

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 -/
-import Mathbin.RingTheory.PowerSeries.Basic
-import Mathbin.Data.Nat.Parity
-import Mathbin.Algebra.BigOperators.NatAntidiagonal
+import RingTheory.PowerSeries.Basic
+import Data.Nat.Parity
+import Algebra.BigOperators.NatAntidiagonal
 
 #align_import ring_theory.power_series.well_known from "leanprover-community/mathlib"@"38df578a6450a8c5142b3727e3ae894c2300cae0"

38df578a

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
-
-! This file was ported from Lean 3 source module ring_theory.power_series.well_known
-! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.RingTheory.PowerSeries.Basic
 import Mathbin.Data.Nat.Parity
 import Mathbin.Algebra.BigOperators.NatAntidiagonal
 
+#align_import ring_theory.power_series.well_known from "leanprover-community/mathlib"@"38df578a6450a8c5142b3727e3ae894c2300cae0"
+
 /-!
 # Definition of well-known power series

38df578a

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -34,21 +34,28 @@ section Ring
 
 variable {R S : Type _} [Ring R] [Ring S]
 
+#print PowerSeries.invUnitsSub /-
 /-- The power series for `1 / (u - x)`. -/
 def invUnitsSub (u : Rˣ) : PowerSeries R :=
   mk fun n => 1 /ₚ u ^ (n + 1)
 #align power_series.inv_units_sub PowerSeries.invUnitsSub
+-/
 
+#print PowerSeries.coeff_invUnitsSub /-
 @[simp]
 theorem coeff_invUnitsSub (u : Rˣ) (n : ℕ) : coeff R n (invUnitsSub u) = 1 /ₚ u ^ (n + 1) :=
   coeff_mk _ _
 #align power_series.coeff_inv_units_sub PowerSeries.coeff_invUnitsSub
+-/
 
+#print PowerSeries.constantCoeff_invUnitsSub /-
 @[simp]
 theorem constantCoeff_invUnitsSub (u : Rˣ) : constantCoeff R (invUnitsSub u) = 1 /ₚ u := by
   rw [← coeff_zero_eq_constant_coeff_apply, coeff_inv_units_sub, zero_add, pow_one]
 #align power_series.constant_coeff_inv_units_sub PowerSeries.constantCoeff_invUnitsSub
+-/
 
+#print PowerSeries.invUnitsSub_mul_X /-
 @[simp]
 theorem invUnitsSub_mul_X (u : Rˣ) : invUnitsSub u * X = invUnitsSub u * C R u - 1 :=
   by
@@ -56,15 +63,20 @@ theorem invUnitsSub_mul_X (u : Rˣ) : invUnitsSub u * X = invUnitsSub u * C R u
   · simp
   · simp [n.succ_ne_zero, pow_succ]
 #align power_series.inv_units_sub_mul_X PowerSeries.invUnitsSub_mul_X
+-/
 
+#print PowerSeries.invUnitsSub_mul_sub /-
 @[simp]
 theorem invUnitsSub_mul_sub (u : Rˣ) : invUnitsSub u * (C R u - X) = 1 := by
   simp [mul_sub, sub_sub_cancel]
 #align power_series.inv_units_sub_mul_sub PowerSeries.invUnitsSub_mul_sub
+-/
 
+#print PowerSeries.map_invUnitsSub /-
 theorem map_invUnitsSub (f : R →+* S) (u : Rˣ) :
     map f (invUnitsSub u) = invUnitsSub (Units.map (f : R →* S) u) := by ext; simp [← map_pow]
 #align power_series.map_inv_units_sub PowerSeries.map_invUnitsSub
+-/
 
 end Ring
 
@@ -97,48 +109,66 @@ def cos : PowerSeries A :=
 
 variable {A A'} (n : ℕ) (f : A →+* A')
 
+#print PowerSeries.coeff_exp /-
 @[simp]
 theorem coeff_exp : coeff A n (exp A) = algebraMap ℚ A (1 / n !) :=
   coeff_mk _ _
 #align power_series.coeff_exp PowerSeries.coeff_exp
+-/
 
+#print PowerSeries.constantCoeff_exp /-
 @[simp]
 theorem constantCoeff_exp : constantCoeff A (exp A) = 1 := by
   rw [← coeff_zero_eq_constant_coeff_apply, coeff_exp]; simp
 #align power_series.constant_coeff_exp PowerSeries.constantCoeff_exp
+-/
 
+#print PowerSeries.coeff_sin_bit0 /-
 @[simp]
 theorem coeff_sin_bit0 : coeff A (bit0 n) (sin A) = 0 := by rw [sin, coeff_mk, if_pos (even_bit0 n)]
 #align power_series.coeff_sin_bit0 PowerSeries.coeff_sin_bit0
+-/
 
+#print PowerSeries.coeff_sin_bit1 /-
 @[simp]
 theorem coeff_sin_bit1 : coeff A (bit1 n) (sin A) = (-1) ^ n * coeff A (bit1 n) (exp A) := by
   rw [sin, coeff_mk, if_neg n.not_even_bit1, Nat.bit1_div_two, ← mul_one_div, map_mul, map_pow,
     map_neg, map_one, coeff_exp]
 #align power_series.coeff_sin_bit1 PowerSeries.coeff_sin_bit1
+-/
 
+#print PowerSeries.coeff_cos_bit0 /-
 @[simp]
 theorem coeff_cos_bit0 : coeff A (bit0 n) (cos A) = (-1) ^ n * coeff A (bit0 n) (exp A) := by
   rw [cos, coeff_mk, if_pos (even_bit0 n), Nat.bit0_div_two, ← mul_one_div, map_mul, map_pow,
     map_neg, map_one, coeff_exp]
 #align power_series.coeff_cos_bit0 PowerSeries.coeff_cos_bit0
+-/
 
+#print PowerSeries.coeff_cos_bit1 /-
 @[simp]
 theorem coeff_cos_bit1 : coeff A (bit1 n) (cos A) = 0 := by
   rw [cos, coeff_mk, if_neg n.not_even_bit1]
 #align power_series.coeff_cos_bit1 PowerSeries.coeff_cos_bit1
+-/
 
+#print PowerSeries.map_exp /-
 @[simp]
 theorem map_exp : map (f : A →+* A') (exp A) = exp A' := by ext; simp
 #align power_series.map_exp PowerSeries.map_exp
+-/
 
+#print PowerSeries.map_sin /-
 @[simp]
 theorem map_sin : map f (sin A) = sin A' := by ext; simp [sin, apply_ite f]
 #align power_series.map_sin PowerSeries.map_sin
+-/
 
+#print PowerSeries.map_cos /-
 @[simp]
 theorem map_cos : map f (cos A) = cos A' := by ext; simp [cos, apply_ite f]
 #align power_series.map_cos PowerSeries.map_cos
+-/
 
 end Field
 
@@ -148,6 +178,7 @@ open Finset Nat
 
 variable {A : Type _} [CommRing A]
 
+#print PowerSeries.exp_mul_exp_eq_exp_add /-
 /-- Shows that $e^{aX} * e^{bX} = e^{(a + b)X}$ -/
 theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :
     rescale a (exp A) * rescale b (exp A) = rescale (a + b) (exp A) :=
@@ -174,12 +205,16 @@ theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :
   · apply mem_range_succ_iff.1 hx
   · rintro h; apply factorial_ne_zero n; rw [cast_eq_zero.1 h]
 #align power_series.exp_mul_exp_eq_exp_add PowerSeries.exp_mul_exp_eq_exp_add
+-/
 
+#print PowerSeries.exp_mul_exp_neg_eq_one /-
 /-- Shows that $e^{x} * e^{-x} = 1$ -/
 theorem exp_mul_exp_neg_eq_one [Algebra ℚ A] : exp A * evalNegHom (exp A) = 1 := by
   convert exp_mul_exp_eq_exp_add (1 : A) (-1) <;> simp
 #align power_series.exp_mul_exp_neg_eq_one PowerSeries.exp_mul_exp_neg_eq_one
+-/
 
+#print PowerSeries.exp_pow_eq_rescale_exp /-
 /-- Shows that $(e^{X})^k = e^{kX}$. -/
 theorem exp_pow_eq_rescale_exp [Algebra ℚ A] (k : ℕ) : exp A ^ k = rescale (k : A) (exp A) :=
   by
@@ -190,7 +225,9 @@ theorem exp_pow_eq_rescale_exp [Algebra ℚ A] (k : ℕ) : exp A ^ k = rescale (
   simpa only [succ_eq_add_one, cast_add, ← exp_mul_exp_eq_exp_add (k : A), ← h, cast_one, id_apply,
     rescale_one] using pow_succ' (exp A) k
 #align power_series.exp_pow_eq_rescale_exp PowerSeries.exp_pow_eq_rescale_exp
+-/
 
+#print PowerSeries.exp_pow_sum /-
 /-- Shows that
 $\sum_{k = 0}^{n - 1} (e^{X})^k = \sum_{p = 0}^{\infty} \sum_{k = 0}^{n - 1} \frac{k^p}{p!}X^p$. -/
 theorem exp_pow_sum [Algebra ℚ A] (n : ℕ) :
@@ -201,6 +238,7 @@ theorem exp_pow_sum [Algebra ℚ A] (n : ℕ) :
   ext
   simp only [one_div, coeff_mk, coe_mk, coeff_exp, factorial, LinearMap.map_sum]
 #align power_series.exp_pow_sum PowerSeries.exp_pow_sum
+-/
 
 end PowerSeries

38df578a

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -72,7 +72,7 @@ section Field
 
 variable (A A' : Type _) [Ring A] [Ring A'] [Algebra ℚ A] [Algebra ℚ A']
 
-open Nat
+open scoped Nat
 
 #print PowerSeries.exp /-
 /-- Power series for the exponential function at zero. -/

38df578a

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -34,45 +34,21 @@ section Ring
 
 variable {R S : Type _} [Ring R] [Ring S]
 
-/- warning: power_series.inv_units_sub -> PowerSeries.invUnitsSub is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R], (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) -> (PowerSeries.{u1} R)
-but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R], (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) -> (PowerSeries.{u1} R)
-Case conversion may be inaccurate. Consider using '#align power_series.inv_units_sub PowerSeries.invUnitsSubₓ'. -/
 /-- The power series for `1 / (u - x)`. -/
 def invUnitsSub (u : Rˣ) : PowerSeries R :=
   mk fun n => 1 /ₚ u ^ (n + 1)
 #align power_series.inv_units_sub PowerSeries.invUnitsSub
 
-/- warning: power_series.coeff_inv_units_sub -> PowerSeries.coeff_invUnitsSub is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] (u : Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (n : Nat), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.module.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.module.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) => (PowerSeries.{u1} R) -> R) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} R R (PowerSeries.{u1} R) R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.module.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.coeff.{u1} R (Ring.toSemiring.{u1} R _inst_1) n) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (divp.{u1} R (Ring.toMonoid.{u1} R _inst_1) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1))))))) (HPow.hPow.{u1, 0, u1} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) Nat (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (instHPow.{u1, 0} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) Nat (Monoid.Pow.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (DivInvMonoid.toMonoid.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (Group.toDivInvMonoid.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (Units.group.{u1} R (Ring.toMonoid.{u1} R _inst_1)))))) u (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))
-but is expected to have type
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 @[simp]
 theorem coeff_invUnitsSub (u : Rˣ) (n : ℕ) : coeff R n (invUnitsSub u) = 1 /ₚ u ^ (n + 1) :=
   coeff_mk _ _
 #align power_series.coeff_inv_units_sub PowerSeries.coeff_invUnitsSub
 
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 @[simp]
 theorem constantCoeff_invUnitsSub (u : Rˣ) : constantCoeff R (invUnitsSub u) = 1 /ₚ u := by
   rw [← coeff_zero_eq_constant_coeff_apply, coeff_inv_units_sub, zero_add, pow_one]
 #align power_series.constant_coeff_inv_units_sub PowerSeries.constantCoeff_invUnitsSub
 
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-Case conversion may be inaccurate. Consider using '#align power_series.inv_units_sub_mul_X PowerSeries.invUnitsSub_mul_Xₓ'. -/
 @[simp]
 theorem invUnitsSub_mul_X (u : Rˣ) : invUnitsSub u * X = invUnitsSub u * C R u - 1 :=
   by
@@ -81,20 +57,11 @@ theorem invUnitsSub_mul_X (u : Rˣ) : invUnitsSub u * X = invUnitsSub u * C R u
   · simp [n.succ_ne_zero, pow_succ]
 #align power_series.inv_units_sub_mul_X PowerSeries.invUnitsSub_mul_X
 
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-Case conversion may be inaccurate. Consider using '#align power_series.inv_units_sub_mul_sub PowerSeries.invUnitsSub_mul_subₓ'. -/
 @[simp]
 theorem invUnitsSub_mul_sub (u : Rˣ) : invUnitsSub u * (C R u - X) = 1 := by
   simp [mul_sub, sub_sub_cancel]
 #align power_series.inv_units_sub_mul_sub PowerSeries.invUnitsSub_mul_sub
 
-/- warning: power_series.map_inv_units_sub -> PowerSeries.map_invUnitsSub is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align power_series.map_inv_units_sub PowerSeries.map_invUnitsSubₓ'. -/
 theorem map_invUnitsSub (f : R →+* S) (u : Rˣ) :
     map f (invUnitsSub u) = invUnitsSub (Units.map (f : R →* S) u) := by ext; simp [← map_pow]
 #align power_series.map_inv_units_sub PowerSeries.map_invUnitsSub
@@ -130,93 +97,45 @@ def cos : PowerSeries A :=
 
 variable {A A'} (n : ℕ) (f : A →+* A')
 
-/- warning: power_series.coeff_exp -> PowerSeries.coeff_exp is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align power_series.coeff_exp PowerSeries.coeff_expₓ'. -/
 @[simp]
 theorem coeff_exp : coeff A n (exp A) = algebraMap ℚ A (1 / n !) :=
   coeff_mk _ _
 #align power_series.coeff_exp PowerSeries.coeff_exp
 
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-Case conversion may be inaccurate. Consider using '#align power_series.constant_coeff_exp PowerSeries.constantCoeff_expₓ'. -/
 @[simp]
 theorem constantCoeff_exp : constantCoeff A (exp A) = 1 := by
   rw [← coeff_zero_eq_constant_coeff_apply, coeff_exp]; simp
 #align power_series.constant_coeff_exp PowerSeries.constantCoeff_exp
 
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 @[simp]
 theorem coeff_sin_bit0 : coeff A (bit0 n) (sin A) = 0 := by rw [sin, coeff_mk, if_pos (even_bit0 n)]
 #align power_series.coeff_sin_bit0 PowerSeries.coeff_sin_bit0
 
-/- warning: power_series.coeff_sin_bit1 -> PowerSeries.coeff_sin_bit1 is a dubious translation:
-<too large>
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 @[simp]
 theorem coeff_sin_bit1 : coeff A (bit1 n) (sin A) = (-1) ^ n * coeff A (bit1 n) (exp A) := by
   rw [sin, coeff_mk, if_neg n.not_even_bit1, Nat.bit1_div_two, ← mul_one_div, map_mul, map_pow,
     map_neg, map_one, coeff_exp]
 #align power_series.coeff_sin_bit1 PowerSeries.coeff_sin_bit1
 
-/- warning: power_series.coeff_cos_bit0 -> PowerSeries.coeff_cos_bit0 is a dubious translation:
-<too large>
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 @[simp]
 theorem coeff_cos_bit0 : coeff A (bit0 n) (cos A) = (-1) ^ n * coeff A (bit0 n) (exp A) := by
   rw [cos, coeff_mk, if_pos (even_bit0 n), Nat.bit0_div_two, ← mul_one_div, map_mul, map_pow,
     map_neg, map_one, coeff_exp]
 #align power_series.coeff_cos_bit0 PowerSeries.coeff_cos_bit0
 
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 @[simp]
 theorem coeff_cos_bit1 : coeff A (bit1 n) (cos A) = 0 := by
   rw [cos, coeff_mk, if_neg n.not_even_bit1]
 #align power_series.coeff_cos_bit1 PowerSeries.coeff_cos_bit1
 
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 @[simp]
 theorem map_exp : map (f : A →+* A') (exp A) = exp A' := by ext; simp
 #align power_series.map_exp PowerSeries.map_exp
 
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 @[simp]
 theorem map_sin : map f (sin A) = sin A' := by ext; simp [sin, apply_ite f]
 #align power_series.map_sin PowerSeries.map_sin
 
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-Case conversion may be inaccurate. Consider using '#align power_series.map_cos PowerSeries.map_cosₓ'. -/
 @[simp]
 theorem map_cos : map f (cos A) = cos A' := by ext; simp [cos, apply_ite f]
 #align power_series.map_cos PowerSeries.map_cos
@@ -229,9 +148,6 @@ open Finset Nat
 
 variable {A : Type _} [CommRing A]
 
-/- warning: power_series.exp_mul_exp_eq_exp_add -> PowerSeries.exp_mul_exp_eq_exp_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align power_series.exp_mul_exp_eq_exp_add PowerSeries.exp_mul_exp_eq_exp_addₓ'. -/
 /-- Shows that $e^{aX} * e^{bX} = e^{(a + b)X}$ -/
 theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :
     rescale a (exp A) * rescale b (exp A) = rescale (a + b) (exp A) :=
@@ -259,23 +175,11 @@ theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :
   · rintro h; apply factorial_ne_zero n; rw [cast_eq_zero.1 h]
 #align power_series.exp_mul_exp_eq_exp_add PowerSeries.exp_mul_exp_eq_exp_add
 
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 /-- Shows that $e^{x} * e^{-x} = 1$ -/
 theorem exp_mul_exp_neg_eq_one [Algebra ℚ A] : exp A * evalNegHom (exp A) = 1 := by
   convert exp_mul_exp_eq_exp_add (1 : A) (-1) <;> simp
 #align power_series.exp_mul_exp_neg_eq_one PowerSeries.exp_mul_exp_neg_eq_one
 
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-Case conversion may be inaccurate. Consider using '#align power_series.exp_pow_eq_rescale_exp PowerSeries.exp_pow_eq_rescale_expₓ'. -/
 /-- Shows that $(e^{X})^k = e^{kX}$. -/
 theorem exp_pow_eq_rescale_exp [Algebra ℚ A] (k : ℕ) : exp A ^ k = rescale (k : A) (exp A) :=
   by
@@ -287,12 +191,6 @@ theorem exp_pow_eq_rescale_exp [Algebra ℚ A] (k : ℕ) : exp A ^ k = rescale (
     rescale_one] using pow_succ' (exp A) k
 #align power_series.exp_pow_eq_rescale_exp PowerSeries.exp_pow_eq_rescale_exp
 
-/- warning: power_series.exp_pow_sum -> PowerSeries.exp_pow_sum is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align power_series.exp_pow_sum PowerSeries.exp_pow_sumₓ'. -/
 /-- Shows that
 $\sum_{k = 0}^{n - 1} (e^{X})^k = \sum_{p = 0}^{\infty} \sum_{k = 0}^{n - 1} \frac{k^p}{p!}X^p$. -/
 theorem exp_pow_sum [Algebra ℚ A] (n : ℕ) :

38df578a

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -96,10 +96,7 @@ theorem invUnitsSub_mul_sub (u : Rˣ) : invUnitsSub u * (C R u - X) = 1 := by
 <too large>
 Case conversion may be inaccurate. Consider using '#align power_series.map_inv_units_sub PowerSeries.map_invUnitsSubₓ'. -/
 theorem map_invUnitsSub (f : R →+* S) (u : Rˣ) :
-    map f (invUnitsSub u) = invUnitsSub (Units.map (f : R →* S) u) :=
-  by
-  ext
-  simp [← map_pow]
+    map f (invUnitsSub u) = invUnitsSub (Units.map (f : R →* S) u) := by ext; simp [← map_pow]
 #align power_series.map_inv_units_sub PowerSeries.map_invUnitsSub
 
 end Ring
@@ -151,10 +148,8 @@ but is expected to have type
   forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)], Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) A (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) A (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) A (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) A (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (PowerSeries.{u1} A) A (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))))) (PowerSeries.constantCoeff.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) 1 (One.toOfNat1.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Semiring.toOne.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1))))
 Case conversion may be inaccurate. Consider using '#align power_series.constant_coeff_exp PowerSeries.constantCoeff_expₓ'. -/
 @[simp]
-theorem constantCoeff_exp : constantCoeff A (exp A) = 1 :=
-  by
-  rw [← coeff_zero_eq_constant_coeff_apply, coeff_exp]
-  simp
+theorem constantCoeff_exp : constantCoeff A (exp A) = 1 := by
+  rw [← coeff_zero_eq_constant_coeff_apply, coeff_exp]; simp
 #align power_series.constant_coeff_exp PowerSeries.constantCoeff_exp
 
 /- warning: power_series.coeff_sin_bit0 -> PowerSeries.coeff_sin_bit0 is a dubious translation:
@@ -203,10 +198,7 @@ but is expected to have type
   forall {A : Type.{u1}} {A' : Type.{u2}} [_inst_1 : Ring.{u1} A] [_inst_2 : Ring.{u2} A'] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] [_inst_4 : Algebra.{0, u2} Rat A' Rat.commSemiring (Ring.toSemiring.{u2} A' _inst_2)] (f : RingHom.{u1, u2} A A' (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (Semiring.toNonAssocSemiring.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u2} A') (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u2} A') _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (PowerSeries.{u2} A') (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} (PowerSeries.{u2} A') (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (PowerSeries.{u2} A') (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))))))) (PowerSeries.map.{u1, u2} A (Ring.toSemiring.{u1} A _inst_1) A' (Ring.toSemiring.{u2} A' _inst_2) f) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (PowerSeries.exp.{u2} A' _inst_2 _inst_4)
 Case conversion may be inaccurate. Consider using '#align power_series.map_exp PowerSeries.map_expₓ'. -/
 @[simp]
-theorem map_exp : map (f : A →+* A') (exp A) = exp A' :=
-  by
-  ext
-  simp
+theorem map_exp : map (f : A →+* A') (exp A) = exp A' := by ext; simp
 #align power_series.map_exp PowerSeries.map_exp
 
 /- warning: power_series.map_sin -> PowerSeries.map_sin is a dubious translation:
@@ -216,9 +208,7 @@ but is expected to have type
   forall {A : Type.{u1}} {A' : Type.{u2}} [_inst_1 : Ring.{u1} A] [_inst_2 : Ring.{u2} A'] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] [_inst_4 : Algebra.{0, u2} Rat A' Rat.commSemiring (Ring.toSemiring.{u2} A' _inst_2)] (f : RingHom.{u1, u2} A A' (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (Semiring.toNonAssocSemiring.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u2} A') (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u2} A') _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (PowerSeries.{u2} A') (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} (PowerSeries.{u2} A') (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (PowerSeries.{u2} A') (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))))))) (PowerSeries.map.{u1, u2} A (Ring.toSemiring.{u1} A _inst_1) A' (Ring.toSemiring.{u2} A' _inst_2) f) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (PowerSeries.sin.{u2} A' _inst_2 _inst_4)
 Case conversion may be inaccurate. Consider using '#align power_series.map_sin PowerSeries.map_sinₓ'. -/
 @[simp]
-theorem map_sin : map f (sin A) = sin A' := by
-  ext
-  simp [sin, apply_ite f]
+theorem map_sin : map f (sin A) = sin A' := by ext; simp [sin, apply_ite f]
 #align power_series.map_sin PowerSeries.map_sin
 
 /- warning: power_series.map_cos -> PowerSeries.map_cos is a dubious translation:
@@ -228,9 +218,7 @@ but is expected to have type
   forall {A : Type.{u1}} {A' : Type.{u2}} [_inst_1 : Ring.{u1} A] [_inst_2 : Ring.{u2} A'] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] [_inst_4 : Algebra.{0, u2} Rat A' Rat.commSemiring (Ring.toSemiring.{u2} A' _inst_2)] (f : RingHom.{u1, u2} A A' (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (Semiring.toNonAssocSemiring.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u2} A') (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u2} A') _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (PowerSeries.{u2} A') (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} (PowerSeries.{u2} A') (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (PowerSeries.{u2} A') (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2)))) (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))) (RingHom.instRingHomClassRingHom.{u1, u2} (PowerSeries.{u1} A) (PowerSeries.{u2} A') (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} A') (PowerSeries.instSemiringPowerSeries.{u2} A' (Ring.toSemiring.{u2} A' _inst_2))))))) (PowerSeries.map.{u1, u2} A (Ring.toSemiring.{u1} A _inst_1) A' (Ring.toSemiring.{u2} A' _inst_2) f) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (PowerSeries.cos.{u2} A' _inst_2 _inst_4)
 Case conversion may be inaccurate. Consider using '#align power_series.map_cos PowerSeries.map_cosₓ'. -/
 @[simp]
-theorem map_cos : map f (cos A) = cos A' := by
-  ext
-  simp [cos, apply_ite f]
+theorem map_cos : map f (cos A) = cos A' := by ext; simp [cos, apply_ite f]
 #align power_series.map_cos PowerSeries.map_cos
 
 end Field
@@ -268,9 +256,7 @@ theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :
   rw [cast_div_char_zero]
   · apply factorial_mul_factorial_dvd_factorial (mem_range_succ_iff.1 hx)
   · apply mem_range_succ_iff.1 hx
-  · rintro h
-    apply factorial_ne_zero n
-    rw [cast_eq_zero.1 h]
+  · rintro h; apply factorial_ne_zero n; rw [cast_eq_zero.1 h]
 #align power_series.exp_mul_exp_eq_exp_add PowerSeries.exp_mul_exp_eq_exp_add
 
 /- warning: power_series.exp_mul_exp_neg_eq_one -> PowerSeries.exp_mul_exp_neg_eq_one is a dubious translation:

38df578a

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -93,10 +93,7 @@ theorem invUnitsSub_mul_sub (u : Rˣ) : invUnitsSub u * (C R u - X) = 1 := by
 #align power_series.inv_units_sub_mul_sub PowerSeries.invUnitsSub_mul_sub
 
 /- warning: power_series.map_inv_units_sub -> PowerSeries.map_invUnitsSub is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align power_series.map_inv_units_sub PowerSeries.map_invUnitsSubₓ'. -/
 theorem map_invUnitsSub (f : R →+* S) (u : Rˣ) :
     map f (invUnitsSub u) = invUnitsSub (Units.map (f : R →* S) u) :=
@@ -171,10 +168,7 @@ theorem coeff_sin_bit0 : coeff A (bit0 n) (sin A) = 0 := by rw [sin, coeff_mk, i
 #align power_series.coeff_sin_bit0 PowerSeries.coeff_sin_bit0
 
 /- warning: power_series.coeff_sin_bit1 -> PowerSeries.coeff_sin_bit1 is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align power_series.coeff_sin_bit1 PowerSeries.coeff_sin_bit1ₓ'. -/
 @[simp]
 theorem coeff_sin_bit1 : coeff A (bit1 n) (sin A) = (-1) ^ n * coeff A (bit1 n) (exp A) := by
@@ -183,10 +177,7 @@ theorem coeff_sin_bit1 : coeff A (bit1 n) (sin A) = (-1) ^ n * coeff A (bit1 n)
 #align power_series.coeff_sin_bit1 PowerSeries.coeff_sin_bit1
 
 /- warning: power_series.coeff_cos_bit0 -> PowerSeries.coeff_cos_bit0 is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align power_series.coeff_cos_bit0 PowerSeries.coeff_cos_bit0ₓ'. -/
 @[simp]
 theorem coeff_cos_bit0 : coeff A (bit0 n) (cos A) = (-1) ^ n * coeff A (bit0 n) (exp A) := by
@@ -251,10 +242,7 @@ open Finset Nat
 variable {A : Type _} [CommRing A]
 
 /- warning: power_series.exp_mul_exp_eq_exp_add -> PowerSeries.exp_mul_exp_eq_exp_add is a dubious translation:
-lean 3 declaration is
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(Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (PowerSeries.{u1} A) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (RingHom.instRingHomClassRingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))) (PowerSeries.rescale.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (HAdd.hAdd.{u1, u1, u1} A A A (instHAdd.{u1} A (Distrib.toAdd.{u1} A (NonUnitalNonAssocSemiring.toDistrib.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) a b)) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2))
+<too large>
 Case conversion may be inaccurate. Consider using '#align power_series.exp_mul_exp_eq_exp_add PowerSeries.exp_mul_exp_eq_exp_addₓ'. -/
 /-- Shows that $e^{aX} * e^{bX} = e^{(a + b)X}$ -/
 theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :

38df578a

bump to nightly-2023-05-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

fbc7b476

Diff

@@ -49,7 +49,7 @@ def invUnitsSub (u : Rˣ) : PowerSeries R :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] (u : Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (n : Nat), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.module.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.module.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) => (PowerSeries.{u1} R) -> R) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} R R (PowerSeries.{u1} R) R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.module.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.coeff.{u1} R (Ring.toSemiring.{u1} R _inst_1) n) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (divp.{u1} R (Ring.toMonoid.{u1} R _inst_1) (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1))))))) (HPow.hPow.{u1, 0, u1} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) Nat (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (instHPow.{u1, 0} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) Nat (Monoid.Pow.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (DivInvMonoid.toMonoid.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (Group.toDivInvMonoid.{u1} (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) (Units.group.{u1} R (Ring.toMonoid.{u1} R _inst_1)))))) u (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat Nat.hasAdd) n (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))))))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] (u : Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (PowerSeries.{u1} R) R (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (PowerSeries.{u1} R) (fun (_x : PowerSeries.{u1} R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} R R (PowerSeries.{u1} R) R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.coeff.{u1} R (Ring.toSemiring.{u1} R _inst_1) n) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (divp.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) _inst_1))) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) 1 (One.toOfNat1.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Semiring.toOne.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) _inst_1)))) (HPow.hPow.{u1, 0, u1} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) Nat (Units.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) _inst_1)))) (instHPow.{u1, 0} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) Nat (Monoid.Pow.{u1} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (DivInvMonoid.toMonoid.{u1} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Group.toDivInvMonoid.{u1} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Units.instGroupUnits.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))))))) u (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] (u : Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (PowerSeries.{u1} R) R (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (PowerSeries.{u1} R) (fun (_x : PowerSeries.{u1} R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} R R (PowerSeries.{u1} R) R (Ring.toSemiring.{u1} R _inst_1) (Ring.toSemiring.{u1} R _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R (Ring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (PowerSeries.coeff.{u1} R (Ring.toSemiring.{u1} R _inst_1) n) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (divp.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) _inst_1))) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) 1 (One.toOfNat1.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Semiring.toOne.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) _inst_1)))) (HPow.hPow.{u1, 0, u1} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) Nat (Units.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (PowerSeries.invUnitsSub.{u1} R _inst_1 u)) _inst_1)))) (instHPow.{u1, 0} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) Nat (Monoid.Pow.{u1} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (DivInvMonoid.toMonoid.{u1} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Group.toDivInvMonoid.{u1} (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) (Units.instGroupUnits.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))))))) u (HAdd.hAdd.{0, 0, 0} Nat Nat Nat (instHAdd.{0} Nat instAddNat) n (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))
 Case conversion may be inaccurate. Consider using '#align power_series.coeff_inv_units_sub PowerSeries.coeff_invUnitsSubₓ'. -/
 @[simp]
 theorem coeff_invUnitsSub (u : Rˣ) (n : ℕ) : coeff R n (invUnitsSub u) = 1 /ₚ u ^ (n + 1) :=
@@ -140,7 +140,7 @@ variable {A A'} (n : ℕ) (f : A →+* A')
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} A (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) => (PowerSeries.{u1} A) -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) n) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (fun (_x : RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) => Rat -> A) (RingHom.hasCoeToFun.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (algebraMap.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1) _inst_3) (HDiv.hDiv.{0, 0, 0} Rat Rat Rat (instHDiv.{0} Rat Rat.hasDiv) (OfNat.ofNat.{0} Rat 1 (OfNat.mk.{0} Rat 1 (One.one.{0} Rat Rat.hasOne))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Rat (HasLiftT.mk.{1, 1} Nat Rat (CoeTCₓ.coe.{1, 1} Nat Rat (Nat.castCoe.{0} Rat (AddMonoidWithOne.toNatCast.{0} Rat (AddGroupWithOne.toAddMonoidWithOne.{0} Rat (AddCommGroupWithOne.toAddGroupWithOne.{0} Rat (Ring.toAddCommGroupWithOne.{0} Rat (DivisionRing.toRing.{0} Rat Rat.divisionRing)))))))) (Nat.factorial n))))
 but is expected to have type
-  forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) n) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Rat) => A) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) Rat A (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) Rat A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.instRingHomClassRingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))))) (algebraMap.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1) _inst_3) (HDiv.hDiv.{0, 0, 0} Rat Rat Rat (instHDiv.{0} Rat Rat.instDivRat) (OfNat.ofNat.{0} Rat 1 (Rat.instOfNatRat 1)) (Nat.cast.{0} Rat (Semiring.toNatCast.{0} Rat Rat.semiring) (Nat.factorial n))))
+  forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) n) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Rat) => A) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) Rat A (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) Rat A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.instRingHomClassRingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))))) (algebraMap.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1) _inst_3) (HDiv.hDiv.{0, 0, 0} Rat Rat Rat (instHDiv.{0} Rat Rat.instDivRat) (OfNat.ofNat.{0} Rat 1 (Rat.instOfNatRat 1)) (Nat.cast.{0} Rat (Semiring.toNatCast.{0} Rat Rat.semiring) (Nat.factorial n))))
 Case conversion may be inaccurate. Consider using '#align power_series.coeff_exp PowerSeries.coeff_expₓ'. -/
 @[simp]
 theorem coeff_exp : coeff A n (exp A) = algebraMap ℚ A (1 / n !) :=
@@ -164,7 +164,7 @@ theorem constantCoeff_exp : constantCoeff A (exp A) = 1 :=
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} A (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) => (PowerSeries.{u1} A) -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit0.{0} Nat Nat.hasAdd n)) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (OfNat.ofNat.{u1} A 0 (OfNat.mk.{u1} A 0 (Zero.zero.{u1} A (MulZeroClass.toHasZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_1))))))))
 but is expected to have type
-  forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit0.{0} Nat instAddNat n)) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) _inst_1)))))
+  forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit0.{0} Nat instAddNat n)) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align power_series.coeff_sin_bit0 PowerSeries.coeff_sin_bit0ₓ'. -/
 @[simp]
 theorem coeff_sin_bit0 : coeff A (bit0 n) (sin A) = 0 := by rw [sin, coeff_mk, if_pos (even_bit0 n)]
@@ -174,7 +174,7 @@ theorem coeff_sin_bit0 : coeff A (bit0 n) (sin A) = 0 := by rw [sin, coeff_mk, i
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} A (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) => (PowerSeries.{u1} A) -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit1.{0} Nat Nat.hasOne Nat.hasAdd n)) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (HMul.hMul.{u1, u1, u1} A A A (instHMul.{u1} A (Distrib.toHasMul.{u1} A (Ring.toDistrib.{u1} A _inst_1))) (HPow.hPow.{u1, 0, u1} A Nat A (instHPow.{u1, 0} A Nat (Monoid.Pow.{u1} A (Ring.toMonoid.{u1} A _inst_1))) (Neg.neg.{u1} A (SubNegMonoid.toHasNeg.{u1} A (AddGroup.toSubNegMonoid.{u1} A (AddGroupWithOne.toAddGroup.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A _inst_1))))) (OfNat.ofNat.{u1} A 1 (OfNat.mk.{u1} A 1 (One.one.{u1} A (AddMonoidWithOne.toOne.{u1} A (AddGroupWithOne.toAddMonoidWithOne.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A _inst_1)))))))) n) (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) => (PowerSeries.{u1} A) -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit1.{0} Nat Nat.hasOne Nat.hasAdd n)) (PowerSeries.exp.{u1} A _inst_1 _inst_3)))
 but is expected to have type
-  forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit1.{0} Nat (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring) instAddNat n)) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (NonUnitalNonAssocRing.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1)))) (HPow.hPow.{u1, 0, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) Nat ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (instHPow.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) Nat (Monoid.Pow.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1))))) (Neg.neg.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toNeg.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) 1 (One.toOfNat1.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Semiring.toOne.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1))))) n) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit1.{0} Nat (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring) instAddNat n)) (PowerSeries.exp.{u1} A _inst_1 _inst_3)))
+  forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit1.{0} Nat (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring) instAddNat n)) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.sin.{u1} A _inst_1 _inst_3)) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (NonUnitalNonAssocRing.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1)))) (HPow.hPow.{u1, 0, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) Nat ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (instHPow.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) Nat (Monoid.Pow.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1))))) (Neg.neg.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toNeg.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) 1 (One.toOfNat1.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Semiring.toOne.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1))))) n) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit1.{0} Nat (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring) instAddNat n)) (PowerSeries.exp.{u1} A _inst_1 _inst_3)))
 Case conversion may be inaccurate. Consider using '#align power_series.coeff_sin_bit1 PowerSeries.coeff_sin_bit1ₓ'. -/
 @[simp]
 theorem coeff_sin_bit1 : coeff A (bit1 n) (sin A) = (-1) ^ n * coeff A (bit1 n) (exp A) := by
@@ -186,7 +186,7 @@ theorem coeff_sin_bit1 : coeff A (bit1 n) (sin A) = (-1) ^ n * coeff A (bit1 n)
 lean 3 declaration is
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(Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) => (PowerSeries.{u1} A) -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit0.{0} Nat Nat.hasAdd n)) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (HMul.hMul.{u1, u1, u1} A A A (instHMul.{u1} A (Distrib.toHasMul.{u1} A (Ring.toDistrib.{u1} A _inst_1))) (HPow.hPow.{u1, 0, u1} A Nat A (instHPow.{u1, 0} A Nat (Monoid.Pow.{u1} A (Ring.toMonoid.{u1} A _inst_1))) (Neg.neg.{u1} A (SubNegMonoid.toHasNeg.{u1} A (AddGroup.toSubNegMonoid.{u1} A (AddGroupWithOne.toAddGroup.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A _inst_1))))) (OfNat.ofNat.{u1} A 1 (OfNat.mk.{u1} A 1 (One.one.{u1} A (AddMonoidWithOne.toOne.{u1} A (AddGroupWithOne.toAddMonoidWithOne.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A _inst_1)))))))) n) (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) => (PowerSeries.{u1} A) -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit0.{0} Nat Nat.hasAdd n)) (PowerSeries.exp.{u1} A _inst_1 _inst_3)))
 but is expected to have type
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(LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit0.{0} Nat instAddNat n)) (PowerSeries.exp.{u1} A _inst_1 _inst_3)))
+  forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit0.{0} Nat instAddNat n)) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (NonUnitalNonAssocRing.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1)))) (HPow.hPow.{u1, 0, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) Nat ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (instHPow.{u1, 0} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) Nat (Monoid.Pow.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1))))) (Neg.neg.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toNeg.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) 1 (One.toOfNat1.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Semiring.toOne.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.exp.{u1} A _inst_1 _inst_3)) _inst_1))))) n) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit0.{0} Nat instAddNat n)) (PowerSeries.exp.{u1} A _inst_1 _inst_3)))
 Case conversion may be inaccurate. Consider using '#align power_series.coeff_cos_bit0 PowerSeries.coeff_cos_bit0ₓ'. -/
 @[simp]
 theorem coeff_cos_bit0 : coeff A (bit0 n) (cos A) = (-1) ^ n * coeff A (bit0 n) (exp A) := by
@@ -198,7 +198,7 @@ theorem coeff_cos_bit0 : coeff A (bit0 n) (cos A) = (-1) ^ n * coeff A (bit0 n)
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} A (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (fun (_x : LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) => (PowerSeries.{u1} A) -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.addCommMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.module.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit1.{0} Nat Nat.hasOne Nat.hasAdd n)) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (OfNat.ofNat.{u1} A 0 (OfNat.mk.{u1} A 0 (Zero.zero.{u1} A (MulZeroClass.toHasZero.{u1} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_1))))))))
 but is expected to have type
-  forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit1.{0} Nat (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring) instAddNat n)) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) _inst_1)))))
+  forall {A : Type.{u1}} [_inst_1 : Ring.{u1} A] [_inst_3 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A _inst_1)] (n : Nat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) A (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} A A (PowerSeries.{u1} A) A (Ring.toSemiring.{u1} A _inst_1) (Ring.toSemiring.{u1} A _inst_1) (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1))))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} A A (Ring.toSemiring.{u1} A _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A _inst_1)) (RingHom.id.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_1)))) (PowerSeries.coeff.{u1} A (Ring.toSemiring.{u1} A _inst_1) (bit1.{0} Nat (CanonicallyOrderedCommSemiring.toOne.{0} Nat Nat.canonicallyOrderedCommSemiring) instAddNat n)) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) (Ring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} A) => A) (PowerSeries.cos.{u1} A _inst_1 _inst_3)) _inst_1)))))
 Case conversion may be inaccurate. Consider using '#align power_series.coeff_cos_bit1 PowerSeries.coeff_cos_bit1ₓ'. -/
 @[simp]
 theorem coeff_cos_bit1 : coeff A (bit1 n) (cos A) = 0 := by

38df578a

bump to nightly-2023-05-24-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

2c55cf2c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 
 ! This file was ported from Lean 3 source module ring_theory.power_series.well_known
-! leanprover-community/mathlib commit 8199f6717c150a7fe91c4534175f4cf99725978f
+! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Algebra.BigOperators.NatAntidiagonal
 /-!
 # Definition of well-known power series
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define the following power series:
 
 * `power_series.inv_units_sub`: given `u : Rˣ`, this is the series for `1 / (u - x)`.

8199f671

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -31,34 +31,70 @@ section Ring
 
 variable {R S : Type _} [Ring R] [Ring S]
 
+/- warning: power_series.inv_units_sub -> PowerSeries.invUnitsSub is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R], (Units.{u1} R (Ring.toMonoid.{u1} R _inst_1)) -> (PowerSeries.{u1} R)
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R], (Units.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))) -> (PowerSeries.{u1} R)
+Case conversion may be inaccurate. Consider using '#align power_series.inv_units_sub PowerSeries.invUnitsSubₓ'. -/
 /-- The power series for `1 / (u - x)`. -/
 def invUnitsSub (u : Rˣ) : PowerSeries R :=
   mk fun n => 1 /ₚ u ^ (n + 1)
 #align power_series.inv_units_sub PowerSeries.invUnitsSub
 
+/- warning: power_series.coeff_inv_units_sub -> PowerSeries.coeff_invUnitsSub is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align power_series.coeff_inv_units_sub PowerSeries.coeff_invUnitsSubₓ'. -/
 @[simp]
 theorem coeff_invUnitsSub (u : Rˣ) (n : ℕ) : coeff R n (invUnitsSub u) = 1 /ₚ u ^ (n + 1) :=
   coeff_mk _ _
 #align power_series.coeff_inv_units_sub PowerSeries.coeff_invUnitsSub
 
+/- warning: power_series.constant_coeff_inv_units_sub -> PowerSeries.constantCoeff_invUnitsSub is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align power_series.constant_coeff_inv_units_sub PowerSeries.constantCoeff_invUnitsSubₓ'. -/
 @[simp]
 theorem constantCoeff_invUnitsSub (u : Rˣ) : constantCoeff R (invUnitsSub u) = 1 /ₚ u := by
   rw [← coeff_zero_eq_constant_coeff_apply, coeff_inv_units_sub, zero_add, pow_one]
 #align power_series.constant_coeff_inv_units_sub PowerSeries.constantCoeff_invUnitsSub
 
+/- warning: power_series.inv_units_sub_mul_X -> PowerSeries.invUnitsSub_mul_X is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align power_series.inv_units_sub_mul_X PowerSeries.invUnitsSub_mul_Xₓ'. -/
 @[simp]
-theorem invUnitsSub_mul_x (u : Rˣ) : invUnitsSub u * x = invUnitsSub u * c R u - 1 :=
+theorem invUnitsSub_mul_X (u : Rˣ) : invUnitsSub u * X = invUnitsSub u * C R u - 1 :=
   by
   ext (_ | n)
   · simp
   · simp [n.succ_ne_zero, pow_succ]
-#align power_series.inv_units_sub_mul_X PowerSeries.invUnitsSub_mul_x
-
+#align power_series.inv_units_sub_mul_X PowerSeries.invUnitsSub_mul_X
+
+/- warning: power_series.inv_units_sub_mul_sub -> PowerSeries.invUnitsSub_mul_sub is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align power_series.inv_units_sub_mul_sub PowerSeries.invUnitsSub_mul_subₓ'. -/
 @[simp]
-theorem invUnitsSub_mul_sub (u : Rˣ) : invUnitsSub u * (c R u - x) = 1 := by
+theorem invUnitsSub_mul_sub (u : Rˣ) : invUnitsSub u * (C R u - X) = 1 := by
   simp [mul_sub, sub_sub_cancel]
 #align power_series.inv_units_sub_mul_sub PowerSeries.invUnitsSub_mul_sub
 
+/- warning: power_series.map_inv_units_sub -> PowerSeries.map_invUnitsSub is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align power_series.map_inv_units_sub PowerSeries.map_invUnitsSubₓ'. -/
 theorem map_invUnitsSub (f : R →+* S) (u : Rˣ) :
     map f (invUnitsSub u) = invUnitsSub (Units.map (f : R →* S) u) :=
   by
@@ -74,28 +110,46 @@ variable (A A' : Type _) [Ring A] [Ring A'] [Algebra ℚ A] [Algebra ℚ A']
 
 open Nat
 
+#print PowerSeries.exp /-
 /-- Power series for the exponential function at zero. -/
 def exp : PowerSeries A :=
   mk fun n => algebraMap ℚ A (1 / n !)
 #align power_series.exp PowerSeries.exp
+-/
 
+#print PowerSeries.sin /-
 /-- Power series for the sine function at zero. -/
 def sin : PowerSeries A :=
   mk fun n => if Even n then 0 else algebraMap ℚ A ((-1) ^ (n / 2) / n !)
 #align power_series.sin PowerSeries.sin
+-/
 
+#print PowerSeries.cos /-
 /-- Power series for the cosine function at zero. -/
 def cos : PowerSeries A :=
   mk fun n => if Even n then algebraMap ℚ A ((-1) ^ (n / 2) / n !) else 0
 #align power_series.cos PowerSeries.cos
+-/
 
 variable {A A'} (n : ℕ) (f : A →+* A')
 
+/- warning: power_series.coeff_exp -> PowerSeries.coeff_exp is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align power_series.coeff_exp PowerSeries.coeff_expₓ'. -/
 @[simp]
 theorem coeff_exp : coeff A n (exp A) = algebraMap ℚ A (1 / n !) :=
   coeff_mk _ _
 #align power_series.coeff_exp PowerSeries.coeff_exp
 
+/- warning: power_series.constant_coeff_exp -> PowerSeries.constantCoeff_exp is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align power_series.constant_coeff_exp PowerSeries.constantCoeff_expₓ'. -/
 @[simp]
 theorem constantCoeff_exp : constantCoeff A (exp A) = 1 :=
   by
@@ -103,27 +157,57 @@ theorem constantCoeff_exp : constantCoeff A (exp A) = 1 :=
   simp
 #align power_series.constant_coeff_exp PowerSeries.constantCoeff_exp
 
+/- warning: power_series.coeff_sin_bit0 -> PowerSeries.coeff_sin_bit0 is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align power_series.coeff_sin_bit0 PowerSeries.coeff_sin_bit0ₓ'. -/
 @[simp]
 theorem coeff_sin_bit0 : coeff A (bit0 n) (sin A) = 0 := by rw [sin, coeff_mk, if_pos (even_bit0 n)]
 #align power_series.coeff_sin_bit0 PowerSeries.coeff_sin_bit0
 
+/- warning: power_series.coeff_sin_bit1 -> PowerSeries.coeff_sin_bit1 is a dubious translation:
+lean 3 declaration is
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n)) (PowerSeries.exp.{u1} A _inst_1 _inst_3)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align power_series.coeff_sin_bit1 PowerSeries.coeff_sin_bit1ₓ'. -/
 @[simp]
 theorem coeff_sin_bit1 : coeff A (bit1 n) (sin A) = (-1) ^ n * coeff A (bit1 n) (exp A) := by
   rw [sin, coeff_mk, if_neg n.not_even_bit1, Nat.bit1_div_two, ← mul_one_div, map_mul, map_pow,
     map_neg, map_one, coeff_exp]
 #align power_series.coeff_sin_bit1 PowerSeries.coeff_sin_bit1
 
+/- warning: power_series.coeff_cos_bit0 -> PowerSeries.coeff_cos_bit0 is a dubious translation:
+lean 3 declaration is
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(PowerSeries.exp.{u1} A _inst_1 _inst_3)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align power_series.coeff_cos_bit0 PowerSeries.coeff_cos_bit0ₓ'. -/
 @[simp]
 theorem coeff_cos_bit0 : coeff A (bit0 n) (cos A) = (-1) ^ n * coeff A (bit0 n) (exp A) := by
   rw [cos, coeff_mk, if_pos (even_bit0 n), Nat.bit0_div_two, ← mul_one_div, map_mul, map_pow,
     map_neg, map_one, coeff_exp]
 #align power_series.coeff_cos_bit0 PowerSeries.coeff_cos_bit0
 
+/- warning: power_series.coeff_cos_bit1 -> PowerSeries.coeff_cos_bit1 is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align power_series.coeff_cos_bit1 PowerSeries.coeff_cos_bit1ₓ'. -/
 @[simp]
 theorem coeff_cos_bit1 : coeff A (bit1 n) (cos A) = 0 := by
   rw [cos, coeff_mk, if_neg n.not_even_bit1]
 #align power_series.coeff_cos_bit1 PowerSeries.coeff_cos_bit1
 
+/- warning: power_series.map_exp -> PowerSeries.map_exp is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align power_series.map_exp PowerSeries.map_expₓ'. -/
 @[simp]
 theorem map_exp : map (f : A →+* A') (exp A) = exp A' :=
   by
@@ -131,12 +215,24 @@ theorem map_exp : map (f : A →+* A') (exp A) = exp A' :=
   simp
 #align power_series.map_exp PowerSeries.map_exp
 
+/- warning: power_series.map_sin -> PowerSeries.map_sin is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align power_series.map_sin PowerSeries.map_sinₓ'. -/
 @[simp]
 theorem map_sin : map f (sin A) = sin A' := by
   ext
   simp [sin, apply_ite f]
 #align power_series.map_sin PowerSeries.map_sin
 
+/- warning: power_series.map_cos -> PowerSeries.map_cos is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align power_series.map_cos PowerSeries.map_cosₓ'. -/
 @[simp]
 theorem map_cos : map f (cos A) = cos A' := by
   ext
@@ -151,6 +247,12 @@ open Finset Nat
 
 variable {A : Type _} [CommRing A]
 
+/- warning: power_series.exp_mul_exp_eq_exp_add -> PowerSeries.exp_mul_exp_eq_exp_add is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))] (a : A) (b : A), Eq.{succ u1} (PowerSeries.{u1} A) (HMul.hMul.{u1, u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (PowerSeries.{u1} A) (instHMul.{u1} (PowerSeries.{u1} A) (Distrib.toHasMul.{u1} (PowerSeries.{u1} A) (Ring.toDistrib.{u1} (PowerSeries.{u1} A) (PowerSeries.ring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (fun (_x : RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) => (PowerSeries.{u1} A) -> (PowerSeries.{u1} A)) (RingHom.hasCoeToFun.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.rescale.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) a) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (fun (_x : RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) => (PowerSeries.{u1} A) -> (PowerSeries.{u1} A)) (RingHom.hasCoeToFun.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.rescale.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) b) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (fun (_x : RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) => (PowerSeries.{u1} A) -> (PowerSeries.{u1} A)) (RingHom.hasCoeToFun.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.rescale.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (HAdd.hAdd.{u1, u1, u1} A A A (instHAdd.{u1} A (Distrib.toHasAdd.{u1} A (Ring.toDistrib.{u1} A (CommRing.toRing.{u1} A _inst_1)))) a b)) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2))
+but is expected to have type
+  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))] (a : A) (b : A), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2)) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2)) (NonUnitalNonAssocRing.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2)) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2)) (PowerSeries.instRingPowerSeries.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (PowerSeries.{u1} A) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (PowerSeries.{u1} A) 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(PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) 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(CommRing.toCommSemiring.{u1} A _inst_1) b) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) 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A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))) (PowerSeries.rescale.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (HAdd.hAdd.{u1, u1, u1} A A A (instHAdd.{u1} A (Distrib.toAdd.{u1} A (NonUnitalNonAssocSemiring.toDistrib.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) a b)) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2))
+Case conversion may be inaccurate. Consider using '#align power_series.exp_mul_exp_eq_exp_add PowerSeries.exp_mul_exp_eq_exp_addₓ'. -/
 /-- Shows that $e^{aX} * e^{bX} = e^{(a + b)X}$ -/
 theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :
     rescale a (exp A) * rescale b (exp A) = rescale (a + b) (exp A) :=
@@ -180,11 +282,23 @@ theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :
     rw [cast_eq_zero.1 h]
 #align power_series.exp_mul_exp_eq_exp_add PowerSeries.exp_mul_exp_eq_exp_add
 
+/- warning: power_series.exp_mul_exp_neg_eq_one -> PowerSeries.exp_mul_exp_neg_eq_one is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align power_series.exp_mul_exp_neg_eq_one PowerSeries.exp_mul_exp_neg_eq_oneₓ'. -/
 /-- Shows that $e^{x} * e^{-x} = 1$ -/
 theorem exp_mul_exp_neg_eq_one [Algebra ℚ A] : exp A * evalNegHom (exp A) = 1 := by
   convert exp_mul_exp_eq_exp_add (1 : A) (-1) <;> simp
 #align power_series.exp_mul_exp_neg_eq_one PowerSeries.exp_mul_exp_neg_eq_one
 
+/- warning: power_series.exp_pow_eq_rescale_exp -> PowerSeries.exp_pow_eq_rescale_exp is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))] (k : Nat), Eq.{succ u1} (PowerSeries.{u1} A) (HPow.hPow.{u1, 0, u1} (PowerSeries.{u1} A) Nat (PowerSeries.{u1} A) (instHPow.{u1, 0} (PowerSeries.{u1} A) Nat (Monoid.Pow.{u1} (PowerSeries.{u1} A) (Ring.toMonoid.{u1} (PowerSeries.{u1} A) (PowerSeries.ring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2) k) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (fun (_x : RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) => (PowerSeries.{u1} A) -> (PowerSeries.{u1} A)) (RingHom.hasCoeToFun.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.semiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.rescale.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat A (HasLiftT.mk.{1, succ u1} Nat A (CoeTCₓ.coe.{1, succ u1} Nat A (Nat.castCoe.{u1} A (AddMonoidWithOne.toNatCast.{u1} A (AddGroupWithOne.toAddMonoidWithOne.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))) k)) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2))
+but is expected to have type
+  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))] (k : Nat), Eq.{succ u1} (PowerSeries.{u1} A) (HPow.hPow.{u1, 0, u1} (PowerSeries.{u1} A) Nat (PowerSeries.{u1} A) (instHPow.{u1, 0} (PowerSeries.{u1} A) Nat (Monoid.Pow.{u1} (PowerSeries.{u1} A) (MonoidWithZero.toMonoid.{u1} (PowerSeries.{u1} A) (Semiring.toMonoidWithZero.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))))) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2) k) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (fun (_x : PowerSeries.{u1} A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} A) => PowerSeries.{u1} A) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (PowerSeries.{u1} A) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (PowerSeries.{u1} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (RingHom.instRingHomClassRingHom.{u1, u1} (PowerSeries.{u1} A) (PowerSeries.{u1} A) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))) (PowerSeries.rescale.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (Nat.cast.{u1} A (Semiring.toNatCast.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) k)) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2))
+Case conversion may be inaccurate. Consider using '#align power_series.exp_pow_eq_rescale_exp PowerSeries.exp_pow_eq_rescale_expₓ'. -/
 /-- Shows that $(e^{X})^k = e^{kX}$. -/
 theorem exp_pow_eq_rescale_exp [Algebra ℚ A] (k : ℕ) : exp A ^ k = rescale (k : A) (exp A) :=
   by
@@ -196,6 +310,12 @@ theorem exp_pow_eq_rescale_exp [Algebra ℚ A] (k : ℕ) : exp A ^ k = rescale (
     rescale_one] using pow_succ' (exp A) k
 #align power_series.exp_pow_eq_rescale_exp PowerSeries.exp_pow_eq_rescale_exp
 
+/- warning: power_series.exp_pow_sum -> PowerSeries.exp_pow_sum is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))] (n : Nat), Eq.{succ u1} (PowerSeries.{u1} A) (Finset.sum.{u1, 0} (PowerSeries.{u1} A) Nat (PowerSeries.addCommMonoid.{u1} A (AddCommGroup.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toAddCommGroup.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Finset.range n) (fun (k : Nat) => HPow.hPow.{u1, 0, u1} (PowerSeries.{u1} A) Nat (PowerSeries.{u1} A) (instHPow.{u1, 0} (PowerSeries.{u1} A) Nat (Monoid.Pow.{u1} (PowerSeries.{u1} A) (Ring.toMonoid.{u1} (PowerSeries.{u1} A) (PowerSeries.ring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2) k)) (PowerSeries.mk.{u1} A (fun (p : Nat) => Finset.sum.{u1, 0} A Nat (AddCommGroup.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toAddCommGroup.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))) (Finset.range n) (fun (k : Nat) => HMul.hMul.{u1, u1, u1} A A A (instHMul.{u1} A (Distrib.toHasMul.{u1} A (Ring.toDistrib.{u1} A (CommRing.toRing.{u1} A _inst_1)))) (HPow.hPow.{u1, 0, u1} A Nat A (instHPow.{u1, 0} A Nat (Monoid.Pow.{u1} A (Ring.toMonoid.{u1} A (CommRing.toRing.{u1} A _inst_1)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat A (HasLiftT.mk.{1, succ u1} Nat A (CoeTCₓ.coe.{1, succ u1} Nat A (Nat.castCoe.{u1} A (AddMonoidWithOne.toNatCast.{u1} A (AddGroupWithOne.toAddMonoidWithOne.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))) k) p) (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1)))) (fun (_x : RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1)))) => Rat -> A) (RingHom.hasCoeToFun.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1)))) (algebraMap.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1)) _inst_2) (Inv.inv.{0} Rat Rat.hasInv ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Rat (HasLiftT.mk.{1, 1} Nat Rat (CoeTCₓ.coe.{1, 1} Nat Rat (Nat.castCoe.{0} Rat (AddMonoidWithOne.toNatCast.{0} Rat (AddGroupWithOne.toAddMonoidWithOne.{0} Rat (AddCommGroupWithOne.toAddGroupWithOne.{0} Rat (Ring.toAddCommGroupWithOne.{0} Rat (DivisionRing.toRing.{0} Rat Rat.divisionRing)))))))) (Nat.factorial p)))))))
+but is expected to have type
+  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))] (n : Nat), Eq.{succ u1} (PowerSeries.{u1} A) (Finset.sum.{u1, 0} (PowerSeries.{u1} A) Nat (PowerSeries.instAddCommMonoidPowerSeries.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Finset.range n) (fun (k : Nat) => HPow.hPow.{u1, 0, u1} (PowerSeries.{u1} A) Nat (PowerSeries.{u1} A) (instHPow.{u1, 0} (PowerSeries.{u1} A) Nat (Monoid.Pow.{u1} (PowerSeries.{u1} A) (MonoidWithZero.toMonoid.{u1} (PowerSeries.{u1} A) (Semiring.toMonoidWithZero.{u1} (PowerSeries.{u1} A) (PowerSeries.instSemiringPowerSeries.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))))) (PowerSeries.exp.{u1} A (CommRing.toRing.{u1} A _inst_1) _inst_2) k)) (PowerSeries.mk.{u1} A (fun (p : Nat) => Finset.sum.{u1, 0} A Nat (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))) (Finset.range n) (fun (k : Nat) => HMul.hMul.{u1, u1, u1} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Rat) => A) (Inv.inv.{0} Rat Rat.instInvRat (Nat.cast.{0} Rat (Semiring.toNatCast.{0} Rat Rat.semiring) (Nat.factorial p)))) A (instHMul.{u1} A (NonUnitalNonAssocRing.toMul.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))) (Nat.cast.{u1} A (Semiring.toNatCast.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (HPow.hPow.{0, 0, 0} Nat Nat Nat (instHPow.{0, 0} Nat Nat instPowNat) k p)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Rat) => A) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) Rat A (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) Rat A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))) Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (RingHom.instRingHomClassRingHom.{0, u1} Rat A (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))))) (algebraMap.{0, u1} Rat A Rat.commSemiring (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)) _inst_2) (Inv.inv.{0} Rat Rat.instInvRat (Nat.cast.{0} Rat (Semiring.toNatCast.{0} Rat Rat.semiring) (Nat.factorial p)))))))
+Case conversion may be inaccurate. Consider using '#align power_series.exp_pow_sum PowerSeries.exp_pow_sumₓ'. -/
 /-- Shows that
 $\sum_{k = 0}^{n - 1} (e^{X})^k = \sum_{p = 0}^{\infty} \sum_{k = 0}^{n - 1} \frac{k^p}{p!}X^p$. -/
 theorem exp_pow_sum [Algebra ℚ A] (n : ℕ) :

8199f671

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

8199f671

chore: adapt to multiple goal linter 3 (#12372)

A PR analogous to #12338 and #12361: reformatting proofs following the multiple goals linter of #12339.

d29b3780

Diff

@@ -171,9 +171,9 @@ theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :
   rw [mul_one_div (↑(n.choose x) : ℚ), one_div_mul_one_div]
   symm
   rw [div_eq_iff, div_mul_eq_mul_div, one_mul, choose_eq_factorial_div_factorial]
-  norm_cast
-  rw [cast_div_charZero]
-  · apply factorial_mul_factorial_dvd_factorial (mem_range_succ_iff.1 hx)
+  · norm_cast
+    rw [cast_div_charZero]
+    apply factorial_mul_factorial_dvd_factorial (mem_range_succ_iff.1 hx)
   · apply mem_range_succ_iff.1 hx
   · rintro h
     apply factorial_ne_zero n

8199f671

change the order of operation in zsmulRec and nsmulRec (#11451)

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : ∀ (n : ℕ) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

pow_succ and pow_succ' have switched their meanings.
Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.

9a3feeae

Diff

@@ -47,7 +47,7 @@ theorem constantCoeff_invUnitsSub (u : Rˣ) : constantCoeff R (invUnitsSub u) =
 theorem invUnitsSub_mul_X (u : Rˣ) : invUnitsSub u * X = invUnitsSub u * C R u - 1 := by
   ext (_ | n)
   · simp
-  · simp [n.succ_ne_zero, pow_succ]
+  · simp [n.succ_ne_zero, pow_succ']
 set_option linter.uppercaseLean3 false in
 #align power_series.inv_units_sub_mul_X PowerSeries.invUnitsSub_mul_X
 
@@ -191,7 +191,7 @@ theorem exp_pow_eq_rescale_exp [Algebra ℚ A] (k : ℕ) : exp A ^ k = rescale (
   · simp only [rescale_zero, constantCoeff_exp, Function.comp_apply, map_one, cast_zero, zero_eq,
       pow_zero (exp A), coe_comp]
   · simpa only [succ_eq_add_one, cast_add, ← exp_mul_exp_eq_exp_add (k : A), ← h, cast_one,
-    id_apply, rescale_one] using pow_succ' (exp A) k
+    id_apply, rescale_one] using pow_succ (exp A) k
 #align power_series.exp_pow_eq_rescale_exp PowerSeries.exp_pow_eq_rescale_exp
 
 /-- Shows that

8199f671

chore: use _root_.map_sum more consistently (#7189)

Also _root_.map_smul when in the neighbourhood.

1fa13fb0

Diff

@@ -203,7 +203,7 @@ theorem exp_pow_sum [Algebra ℚ A] (n : ℕ) :
   simp only [exp_pow_eq_rescale_exp, rescale]
   ext
   simp only [one_div, coeff_mk, cast_pow, coe_mk, MonoidHom.coe_mk, OneHom.coe_mk,
-    coeff_exp, factorial, LinearMap.map_sum]
+    coeff_exp, factorial, map_sum]
 #align power_series.exp_pow_sum PowerSeries.exp_pow_sum
 
 end PowerSeries

8199f671

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

@@ -26,7 +26,7 @@ namespace PowerSeries
 
 section Ring
 
-variable {R S : Type _} [Ring R] [Ring S]
+variable {R S : Type*} [Ring R] [Ring S]
 
 /-- The power series for `1 / (u - x)`. -/
 def invUnitsSub (u : Rˣ) : PowerSeries R :=
@@ -68,7 +68,7 @@ end Ring
 
 section Field
 
-variable (A A' : Type _) [Ring A] [Ring A'] [Algebra ℚ A] [Algebra ℚ A']
+variable (A A' : Type*) [Ring A] [Ring A'] [Algebra ℚ A] [Algebra ℚ A']
 
 open Nat
 
@@ -150,7 +150,7 @@ open RingHom
 
 open Finset Nat
 
-variable {A : Type _} [CommRing A]
+variable {A : Type*} [CommRing A]
 
 /-- Shows that $e^{aX} * e^{bX} = e^{(a + b)X}$ -/
 theorem exp_mul_exp_eq_exp_add [Algebra ℚ A] (a b : A) :

8199f671

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

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
-
-! This file was ported from Lean 3 source module ring_theory.power_series.well_known
-! leanprover-community/mathlib commit 8199f6717c150a7fe91c4534175f4cf99725978f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RingTheory.PowerSeries.Basic
 import Mathlib.Data.Nat.Parity
 import Mathlib.Algebra.BigOperators.NatAntidiagonal
 
+#align_import ring_theory.power_series.well_known from "leanprover-community/mathlib"@"8199f6717c150a7fe91c4534175f4cf99725978f"
+
 /-!
 # Definition of well-known power series

8199f671

feat: port RingTheory.PowerSeries.WellKnown (#4215)

depends on: #4167

Co-authored-by: Chris Hughes <chrishughes24@gmail.com>

d22d5a02

`ring_theory.power_series.well_known` ⟷ `Mathlib.RingTheory.PowerSeries.WellKnown`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 555

ring_theory.power_series.well_known ⟷ Mathlib.RingTheory.PowerSeries.WellKnown

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 555

`ring_theory.power_series.well_known` ⟷ `Mathlib.RingTheory.PowerSeries.WellKnown`