data.polynomial.denoms_clearable | 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

85d9f218

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

97eab485

bump to nightly-2024-04-07-08

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

b03b8656

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
 -/
-import Data.Polynomial.EraseLead
-import Data.Polynomial.Eval
+import Algebra.Polynomial.EraseLead
+import Algebra.Polynomial.Eval
 
 #align_import data.polynomial.denoms_clearable from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"

97eab485

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -114,11 +114,11 @@ theorem one_le_pow_mul_abs_eval_div {K : Type _} [LinearOrderedField K] {f : ℤ
     @denomsClearable_natDegree _ _ _ _ b _ (algebraMap ℤ K) f a
       (by rw [eq_intCast, one_div_mul_cancel]; rw [Int.cast_ne_zero]; exact b0.ne.symm)
   obtain Fa := congr_arg abs hF
-  rw [eq_one_div_of_mul_eq_one_left bu, eq_intCast, eq_intCast, abs_mul] at Fa 
-  rw [abs_of_pos (pow_pos (int.cast_pos.mpr b0) _ : 0 < (b : K) ^ _), one_div, eq_intCast] at Fa 
+  rw [eq_one_div_of_mul_eq_one_left bu, eq_intCast, eq_intCast, abs_mul] at Fa
+  rw [abs_of_pos (pow_pos (int.cast_pos.mpr b0) _ : 0 < (b : K) ^ _), one_div, eq_intCast] at Fa
   rw [div_eq_mul_inv, ← Fa, ← Int.cast_abs, ← Int.cast_one, Int.cast_le]
   refine' Int.le_of_lt_add_one ((lt_add_iff_pos_left 1).mpr (abs_pos.mpr fun F0 => fab _))
-  rw [eq_one_div_of_mul_eq_one_left bu, F0, one_div, eq_intCast, Int.cast_zero, zero_eq_mul] at hF 
+  rw [eq_one_div_of_mul_eq_one_left bu, F0, one_div, eq_intCast, Int.cast_zero, zero_eq_mul] at hF
   cases' hF with hF hF
   · exact (not_le.mpr b0 (le_of_eq (int.cast_eq_zero.mp (pow_eq_zero hF)))).elim
   · rwa [div_eq_mul_inv]

97eab485

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
 -/
-import Mathbin.Data.Polynomial.EraseLead
-import Mathbin.Data.Polynomial.Eval
+import Data.Polynomial.EraseLead
+import Data.Polynomial.Eval
 
 #align_import data.polynomial.denoms_clearable from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"
 
@@ -52,7 +52,7 @@ theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClear
 #align denoms_clearable_zero denomsClearable_zero
 -/
 
-/- ./././Mathport/Syntax/Translate/Tactic/Lean3.lean:132:4: warning: unsupported: rw with cfg: { occs := occurrences.pos[occurrences.pos] «expr[ ,]»([2]) } -/
+/- ./././Mathport/Syntax/Translate/Tactic/Lean3.lean:133:4: warning: unsupported: rw with cfg: { occs := occurrences.pos[occurrences.pos] «expr[ ,]»([2]) } -/
 #print denomsClearable_C_mul_X_pow /-
 theorem denomsClearable_C_mul_X_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : ℕ} (r : R)
     (nN : n ≤ N) : DenomsClearable a b N (C r * X ^ n) i :=

97eab485

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
-
-! This file was ported from Lean 3 source module data.polynomial.denoms_clearable
-! leanprover-community/mathlib commit 97eab48559068f3d6313da387714ef25768fb730
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Polynomial.EraseLead
 import Mathbin.Data.Polynomial.Eval
 
+#align_import data.polynomial.denoms_clearable from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"
+
 /-!
 # Denominators of evaluation of polynomials at ratios

97eab485

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -48,12 +48,15 @@ def DenomsClearable (a b : R) (N : ℕ) (f : R[X]) (i : R →+* K) : Prop :=
 #align denoms_clearable DenomsClearable
 -/
 
+#print denomsClearable_zero /-
 theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClearable a b N 0 i :=
   ⟨0, bi, bu, by
     simp only [eval_zero, RingHom.map_zero, MulZeroClass.mul_zero, Polynomial.map_zero]⟩
 #align denoms_clearable_zero denomsClearable_zero
+-/
 
 /- ./././Mathport/Syntax/Translate/Tactic/Lean3.lean:132:4: warning: unsupported: rw with cfg: { occs := occurrences.pos[occurrences.pos] «expr[ ,]»([2]) } -/
+#print denomsClearable_C_mul_X_pow /-
 theorem denomsClearable_C_mul_X_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : ℕ} (r : R)
     (nN : n ≤ N) : DenomsClearable a b N (C r * X ^ n) i :=
   by
@@ -64,7 +67,9 @@ theorem denomsClearable_C_mul_X_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : 
   rw [pow_add, mul_assoc, mul_comm (i b ^ n), mul_pow, mul_assoc, mul_assoc (i a ^ n), ← mul_pow]
   rw [bu, one_pow, mul_one]
 #align denoms_clearable_C_mul_X_pow denomsClearable_C_mul_X_pow
+-/
 
+#print DenomsClearable.add /-
 theorem DenomsClearable.add {N : ℕ} {f g : R[X]} :
     DenomsClearable a b N f i → DenomsClearable a b N g i → DenomsClearable a b N (f + g) i :=
   fun ⟨Df, bf, bfu, Hf⟩ ⟨Dg, bg, bgu, Hg⟩ =>
@@ -74,13 +79,17 @@ theorem DenomsClearable.add {N : ℕ} {f g : R[X]} :
     congr
     refine' @inv_unique K _ (i b) bg bf _ _ <;> rwa [mul_comm]⟩
 #align denoms_clearable.add DenomsClearable.add
+-/
 
+#print denomsClearable_of_natDegree_le /-
 theorem denomsClearable_of_natDegree_le (N : ℕ) (a : R) (bu : bi * i b = 1) :
     ∀ f : R[X], f.natDegree ≤ N → DenomsClearable a b N f i :=
   induction_with_natDegree_le _ N (denomsClearable_zero N a bu)
     (fun N_1 r r0 => denomsClearable_C_mul_X_pow a bu r) fun f g fg gN df dg => df.add dg
 #align denoms_clearable_of_nat_degree_le denomsClearable_of_natDegree_le
+-/
 
+#print denomsClearable_natDegree /-
 /-- If `i : R → K` is a ring homomorphism, `f` is a polynomial with coefficients in `R`,
 `a, b` are elements of `R`, with `i b` invertible, then there is a `D ∈ R` such that
 `b ^ f.nat_degree * f (a / b)` equals `i D`. -/
@@ -88,11 +97,13 @@ theorem denomsClearable_natDegree (i : R →+* K) (f : R[X]) (a : R) (bu : bi *
     DenomsClearable a b f.natDegree f i :=
   denomsClearable_of_natDegree_le f.natDegree a bu f le_rfl
 #align denoms_clearable_nat_degree denomsClearable_natDegree
+-/
 
 end DenomsClearable
 
 open RingHom
 
+#print one_le_pow_mul_abs_eval_div /-
 /-- Evaluating a polynomial with integer coefficients at a rational number and clearing
 denominators, yields a number greater than or equal to one.  The target can be any
 `linear_ordered_field K`.
@@ -115,4 +126,5 @@ theorem one_le_pow_mul_abs_eval_div {K : Type _} [LinearOrderedField K] {f : ℤ
   · exact (not_le.mpr b0 (le_of_eq (int.cast_eq_zero.mp (pow_eq_zero hF)))).elim
   · rwa [div_eq_mul_inv]
 #align one_le_pow_mul_abs_eval_div one_le_pow_mul_abs_eval_div
+-/

97eab485

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -44,7 +44,7 @@ element `bi = 1 / i b` of `K` such that clearing the denominators of
 the fraction equals `i D`.
 -/
 def DenomsClearable (a b : R) (N : ℕ) (f : R[X]) (i : R →+* K) : Prop :=
-  ∃ (D : R)(bi : K), bi * i b = 1 ∧ i D = i b ^ N * eval (i a * bi) (f.map i)
+  ∃ (D : R) (bi : K), bi * i b = 1 ∧ i D = i b ^ N * eval (i a * bi) (f.map i)
 #align denoms_clearable DenomsClearable
 -/
 
@@ -106,11 +106,11 @@ theorem one_le_pow_mul_abs_eval_div {K : Type _} [LinearOrderedField K] {f : ℤ
     @denomsClearable_natDegree _ _ _ _ b _ (algebraMap ℤ K) f a
       (by rw [eq_intCast, one_div_mul_cancel]; rw [Int.cast_ne_zero]; exact b0.ne.symm)
   obtain Fa := congr_arg abs hF
-  rw [eq_one_div_of_mul_eq_one_left bu, eq_intCast, eq_intCast, abs_mul] at Fa
-  rw [abs_of_pos (pow_pos (int.cast_pos.mpr b0) _ : 0 < (b : K) ^ _), one_div, eq_intCast] at Fa
+  rw [eq_one_div_of_mul_eq_one_left bu, eq_intCast, eq_intCast, abs_mul] at Fa 
+  rw [abs_of_pos (pow_pos (int.cast_pos.mpr b0) _ : 0 < (b : K) ^ _), one_div, eq_intCast] at Fa 
   rw [div_eq_mul_inv, ← Fa, ← Int.cast_abs, ← Int.cast_one, Int.cast_le]
   refine' Int.le_of_lt_add_one ((lt_add_iff_pos_left 1).mpr (abs_pos.mpr fun F0 => fab _))
-  rw [eq_one_div_of_mul_eq_one_left bu, F0, one_div, eq_intCast, Int.cast_zero, zero_eq_mul] at hF
+  rw [eq_one_div_of_mul_eq_one_left bu, F0, one_div, eq_intCast, Int.cast_zero, zero_eq_mul] at hF 
   cases' hF with hF hF
   · exact (not_le.mpr b0 (le_of_eq (int.cast_eq_zero.mp (pow_eq_zero hF)))).elim
   · rwa [div_eq_mul_inv]

97eab485

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -26,7 +26,7 @@ the image of the homomorphism `i`.
 
 open Polynomial Finset
 
-open Polynomial
+open scoped Polynomial
 
 section DenomsClearable

97eab485

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -48,20 +48,11 @@ def DenomsClearable (a b : R) (N : ℕ) (f : R[X]) (i : R →+* K) : Prop :=
 #align denoms_clearable DenomsClearable
 -/
 
-/- warning: denoms_clearable_zero -> denomsClearable_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (OfNat.ofNat.{u1} (Polynomial.{u1} R _inst_1) 0 (OfNat.mk.{u1} (Polynomial.{u1} R _inst_1) 0 (Zero.zero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.zero.{u1} R _inst_1)))) i)
-but is expected to have type
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (OfNat.ofNat.{u1} (Polynomial.{u1} R _inst_1) 0 (Zero.toOfNat0.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.zero.{u1} R _inst_1))) i)
-Case conversion may be inaccurate. Consider using '#align denoms_clearable_zero denomsClearable_zeroₓ'. -/
 theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClearable a b N 0 i :=
   ⟨0, bi, bu, by
     simp only [eval_zero, RingHom.map_zero, MulZeroClass.mul_zero, Polynomial.map_zero]⟩
 #align denoms_clearable_zero denomsClearable_zero
 
-/- warning: denoms_clearable_C_mul_X_pow -> denomsClearable_C_mul_X_pow is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align denoms_clearable_C_mul_X_pow denomsClearable_C_mul_X_powₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Lean3.lean:132:4: warning: unsupported: rw with cfg: { occs := occurrences.pos[occurrences.pos] «expr[ ,]»([2]) } -/
 theorem denomsClearable_C_mul_X_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : ℕ} (r : R)
     (nN : n ≤ N) : DenomsClearable a b N (C r * X ^ n) i :=
@@ -74,12 +65,6 @@ theorem denomsClearable_C_mul_X_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : 
   rw [bu, one_pow, mul_one]
 #align denoms_clearable_C_mul_X_pow denomsClearable_C_mul_X_pow
 
-/- warning: denoms_clearable.add -> DenomsClearable.add is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {a : R} {b : R} {N : Nat} {f : Polynomial.{u1} R _inst_1} {g : Polynomial.{u1} R _inst_1}, (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N f i) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N g i) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (HAdd.hAdd.{u1, u1, u1} (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHAdd.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.add'.{u1} R _inst_1)) f g) i)
-but is expected to have type
-  forall {R : Type.{u2}} {K : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : CommSemiring.{u1} K] {i : RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))} {a : R} {b : R} {N : Nat} {f : Polynomial.{u2} R _inst_1} {g : Polynomial.{u2} R _inst_1}, (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b N f i) -> (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b N g i) -> (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b N (HAdd.hAdd.{u2, u2, u2} (Polynomial.{u2} R _inst_1) (Polynomial.{u2} R _inst_1) (Polynomial.{u2} R _inst_1) (instHAdd.{u2} (Polynomial.{u2} R _inst_1) (Polynomial.add'.{u2} R _inst_1)) f g) i)
-Case conversion may be inaccurate. Consider using '#align denoms_clearable.add DenomsClearable.addₓ'. -/
 theorem DenomsClearable.add {N : ℕ} {f g : R[X]} :
     DenomsClearable a b N f i → DenomsClearable a b N g i → DenomsClearable a b N (f + g) i :=
   fun ⟨Df, bf, bfu, Hf⟩ ⟨Dg, bg, bgu, Hg⟩ =>
@@ -90,24 +75,12 @@ theorem DenomsClearable.add {N : ℕ} {f g : R[X]} :
     refine' @inv_unique K _ (i b) bg bf _ _ <;> rwa [mul_comm]⟩
 #align denoms_clearable.add DenomsClearable.add
 
-/- warning: denoms_clearable_of_nat_degree_le -> denomsClearable_of_natDegree_le is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (forall (f : Polynomial.{u1} R _inst_1), (LE.le.{0} Nat Nat.hasLe (Polynomial.natDegree.{u1} R _inst_1 f) N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N f i))
-but is expected to have type
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (forall (f : Polynomial.{u1} R _inst_1), (LE.le.{0} Nat instLENat (Polynomial.natDegree.{u1} R _inst_1 f) N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N f i))
-Case conversion may be inaccurate. Consider using '#align denoms_clearable_of_nat_degree_le denomsClearable_of_natDegree_leₓ'. -/
 theorem denomsClearable_of_natDegree_le (N : ℕ) (a : R) (bu : bi * i b = 1) :
     ∀ f : R[X], f.natDegree ≤ N → DenomsClearable a b N f i :=
   induction_with_natDegree_le _ N (denomsClearable_zero N a bu)
     (fun N_1 r r0 => denomsClearable_C_mul_X_pow a bu r) fun f g fg gN df dg => df.add dg
 #align denoms_clearable_of_nat_degree_le denomsClearable_of_natDegree_le
 
-/- warning: denoms_clearable_nat_degree -> denomsClearable_natDegree is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {b : R} {bi : K} (i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (f : Polynomial.{u1} R _inst_1) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b (Polynomial.natDegree.{u1} R _inst_1 f) f i)
-but is expected to have type
-  forall {R : Type.{u2}} {K : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : CommSemiring.{u1} K] {b : R} {bi : K} (i : RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) (f : Polynomial.{u2} R _inst_1) (a : R), (Eq.{succ u1} K (HMul.hMul.{u1, u1, u1} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) b) K (instHMul.{u1} K (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))))) bi (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)))))) i b)) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (Semiring.toOne.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))))) -> (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b (Polynomial.natDegree.{u2} R _inst_1 f) f i)
-Case conversion may be inaccurate. Consider using '#align denoms_clearable_nat_degree denomsClearable_natDegreeₓ'. -/
 /-- If `i : R → K` is a ring homomorphism, `f` is a polynomial with coefficients in `R`,
 `a, b` are elements of `R`, with `i b` invertible, then there is a `D ∈ R` such that
 `b ^ f.nat_degree * f (a / b)` equals `i D`. -/
@@ -120,9 +93,6 @@ end DenomsClearable
 
 open RingHom
 
-/- warning: one_le_pow_mul_abs_eval_div -> one_le_pow_mul_abs_eval_div is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align one_le_pow_mul_abs_eval_div one_le_pow_mul_abs_eval_divₓ'. -/
 /-- Evaluating a polynomial with integer coefficients at a rational number and clearing
 denominators, yields a number greater than or equal to one.  The target can be any
 `linear_ordered_field K`.

97eab485

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -134,10 +134,7 @@ theorem one_le_pow_mul_abs_eval_div {K : Type _} [LinearOrderedField K] {f : ℤ
   by
   obtain ⟨ev, bi, bu, hF⟩ :=
     @denomsClearable_natDegree _ _ _ _ b _ (algebraMap ℤ K) f a
-      (by
-        rw [eq_intCast, one_div_mul_cancel]
-        rw [Int.cast_ne_zero]
-        exact b0.ne.symm)
+      (by rw [eq_intCast, one_div_mul_cancel]; rw [Int.cast_ne_zero]; exact b0.ne.symm)
   obtain Fa := congr_arg abs hF
   rw [eq_one_div_of_mul_eq_one_left bu, eq_intCast, eq_intCast, abs_mul] at Fa
   rw [abs_of_pos (pow_pos (int.cast_pos.mpr b0) _ : 0 < (b : K) ^ _), one_div, eq_intCast] at Fa

97eab485

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -60,10 +60,7 @@ theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClear
 #align denoms_clearable_zero denomsClearable_zero
 
 /- warning: denoms_clearable_C_mul_X_pow -> denomsClearable_C_mul_X_pow is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} {N : Nat} (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (forall {n : Nat} (r : R), (LE.le.{0} Nat Nat.hasLe n N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (HMul.hMul.{u1, u1, u1} (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHMul.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.mul'.{u1} R _inst_1)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) => R -> (Polynomial.{u1} R _inst_1)) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (Polynomial.C.{u1} R _inst_1) r) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} R _inst_1) Nat (Polynomial.{u1} R _inst_1) (instHPow.{u1, 0} (Polynomial.{u1} R _inst_1) Nat (Monoid.Pow.{u1} (Polynomial.{u1} R _inst_1) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)) i))
-but is expected to have type
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} {N : Nat} (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (forall {n : Nat} (r : R), (LE.le.{0} Nat instLENat n N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.mul'.{u1} R _inst_1)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R _inst_1) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))))) (Polynomial.C.{u1} R _inst_1) r) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} R _inst_1) Nat (Polynomial.{u1} R _inst_1) (instHPow.{u1, 0} (Polynomial.{u1} R _inst_1) Nat (Monoid.Pow.{u1} (Polynomial.{u1} R _inst_1) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)) i))
+<too large>
 Case conversion may be inaccurate. Consider using '#align denoms_clearable_C_mul_X_pow denomsClearable_C_mul_X_powₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Lean3.lean:132:4: warning: unsupported: rw with cfg: { occs := occurrences.pos[occurrences.pos] «expr[ ,]»([2]) } -/
 theorem denomsClearable_C_mul_X_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : ℕ} (r : R)
@@ -124,10 +121,7 @@ end DenomsClearable
 open RingHom
 
 /- warning: one_le_pow_mul_abs_eval_div -> one_le_pow_mul_abs_eval_div is a dubious translation:
-lean 3 declaration is
-  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.semiring} {a : Int} {b : Int}, (LT.lt.{0} Int Int.hasLt (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))))) -> (LE.le.{u1} K (Preorder.toHasLe.{u1} K (PartialOrder.toPreorder.{u1} K (OrderedAddCommGroup.toPartialOrder.{u1} K (StrictOrderedRing.toOrderedAddCommGroup.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (OfNat.ofNat.{u1} K 1 (OfNat.mk.{u1} K 1 (One.one.{u1} K (AddMonoidWithOne.toOne.{u1} K (AddGroupWithOne.toAddMonoidWithOne.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (Ring.toMonoid.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b) (Polynomial.natDegree.{0} Int Int.semiring f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (SubNegMonoid.toHasNeg.{u1} K (AddGroup.toSubNegMonoid.{u1} K (AddGroupWithOne.toAddGroup.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))) (SemilatticeSup.toHasSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (LinearOrder.toLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
-but is expected to have type
-  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.instSemiringInt} {a : Int} {b : Int}, (LT.lt.{0} Int Int.instLTInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (StrictOrderedRing.toPartialOrder.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (Semiring.toOne.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b) (Polynomial.natDegree.{0} Int Int.instSemiringInt f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (Ring.toNeg.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (SemilatticeSup.toSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (DistribLattice.toLattice.{u1} K (instDistribLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))))) (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align one_le_pow_mul_abs_eval_div one_le_pow_mul_abs_eval_divₓ'. -/
 /-- Evaluating a polynomial with integer coefficients at a rational number and clearing
 denominators, yields a number greater than or equal to one.  The target can be any

97eab485

bump to nightly-2023-05-19-16

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

a31df521

Diff

@@ -52,7 +52,7 @@ def DenomsClearable (a b : R) (N : ℕ) (f : R[X]) (i : R →+* K) : Prop :=
 lean 3 declaration is
   forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (OfNat.ofNat.{u1} (Polynomial.{u1} R _inst_1) 0 (OfNat.mk.{u1} (Polynomial.{u1} R _inst_1) 0 (Zero.zero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.zero.{u1} R _inst_1)))) i)
 but is expected to have type
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (OfNat.ofNat.{u1} (Polynomial.{u1} R _inst_1) 0 (Zero.toOfNat0.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.zero.{u1} R _inst_1))) i)
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (OfNat.ofNat.{u1} (Polynomial.{u1} R _inst_1) 0 (Zero.toOfNat0.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.zero.{u1} R _inst_1))) i)
 Case conversion may be inaccurate. Consider using '#align denoms_clearable_zero denomsClearable_zeroₓ'. -/
 theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClearable a b N 0 i :=
   ⟨0, bi, bu, by
@@ -63,7 +63,7 @@ theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClear
 lean 3 declaration is
   forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} {N : Nat} (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (forall {n : Nat} (r : R), (LE.le.{0} Nat Nat.hasLe n N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (HMul.hMul.{u1, u1, u1} (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHMul.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.mul'.{u1} R _inst_1)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) => R -> (Polynomial.{u1} R _inst_1)) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (Polynomial.C.{u1} R _inst_1) r) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} R _inst_1) Nat (Polynomial.{u1} R _inst_1) (instHPow.{u1, 0} (Polynomial.{u1} R _inst_1) Nat (Monoid.Pow.{u1} (Polynomial.{u1} R _inst_1) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)) i))
 but is expected to have type
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} {N : Nat} (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (forall {n : Nat} (r : R), (LE.le.{0} Nat instLENat n N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.mul'.{u1} R _inst_1)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R _inst_1) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))))) (Polynomial.C.{u1} R _inst_1) r) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} R _inst_1) Nat (Polynomial.{u1} R _inst_1) (instHPow.{u1, 0} (Polynomial.{u1} R _inst_1) Nat (Monoid.Pow.{u1} (Polynomial.{u1} R _inst_1) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)) i))
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} {N : Nat} (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (forall {n : Nat} (r : R), (LE.le.{0} Nat instLENat n N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.mul'.{u1} R _inst_1)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Polynomial.{u1} R _inst_1) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))))) (Polynomial.C.{u1} R _inst_1) r) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} R _inst_1) Nat (Polynomial.{u1} R _inst_1) (instHPow.{u1, 0} (Polynomial.{u1} R _inst_1) Nat (Monoid.Pow.{u1} (Polynomial.{u1} R _inst_1) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)) i))
 Case conversion may be inaccurate. Consider using '#align denoms_clearable_C_mul_X_pow denomsClearable_C_mul_X_powₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Lean3.lean:132:4: warning: unsupported: rw with cfg: { occs := occurrences.pos[occurrences.pos] «expr[ ,]»([2]) } -/
 theorem denomsClearable_C_mul_X_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : ℕ} (r : R)
@@ -97,7 +97,7 @@ theorem DenomsClearable.add {N : ℕ} {f g : R[X]} :
 lean 3 declaration is
   forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (forall (f : Polynomial.{u1} R _inst_1), (LE.le.{0} Nat Nat.hasLe (Polynomial.natDegree.{u1} R _inst_1 f) N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N f i))
 but is expected to have type
-  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (forall (f : Polynomial.{u1} R _inst_1), (LE.le.{0} Nat instLENat (Polynomial.natDegree.{u1} R _inst_1 f) N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N f i))
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (forall (f : Polynomial.{u1} R _inst_1), (LE.le.{0} Nat instLENat (Polynomial.natDegree.{u1} R _inst_1 f) N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N f i))
 Case conversion may be inaccurate. Consider using '#align denoms_clearable_of_nat_degree_le denomsClearable_of_natDegree_leₓ'. -/
 theorem denomsClearable_of_natDegree_le (N : ℕ) (a : R) (bu : bi * i b = 1) :
     ∀ f : R[X], f.natDegree ≤ N → DenomsClearable a b N f i :=
@@ -109,7 +109,7 @@ theorem denomsClearable_of_natDegree_le (N : ℕ) (a : R) (bu : bi * i b = 1) :
 lean 3 declaration is
   forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {b : R} {bi : K} (i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (f : Polynomial.{u1} R _inst_1) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b (Polynomial.natDegree.{u1} R _inst_1 f) f i)
 but is expected to have type
-  forall {R : Type.{u2}} {K : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : CommSemiring.{u1} K] {b : R} {bi : K} (i : RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) (f : Polynomial.{u2} R _inst_1) (a : R), (Eq.{succ u1} K (HMul.hMul.{u1, u1, u1} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) b) K (instHMul.{u1} K (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))))) bi (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)))))) i b)) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (Semiring.toOne.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))))) -> (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b (Polynomial.natDegree.{u2} R _inst_1 f) f i)
+  forall {R : Type.{u2}} {K : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : CommSemiring.{u1} K] {b : R} {bi : K} (i : RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) (f : Polynomial.{u2} R _inst_1) (a : R), (Eq.{succ u1} K (HMul.hMul.{u1, u1, u1} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) b) K (instHMul.{u1} K (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))))) bi (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)))))) i b)) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (Semiring.toOne.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))))) -> (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b (Polynomial.natDegree.{u2} R _inst_1 f) f i)
 Case conversion may be inaccurate. Consider using '#align denoms_clearable_nat_degree denomsClearable_natDegreeₓ'. -/
 /-- If `i : R → K` is a ring homomorphism, `f` is a polynomial with coefficients in `R`,
 `a, b` are elements of `R`, with `i b` invertible, then there is a `D ∈ R` such that

97eab485

bump to nightly-2023-05-16-16

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

9cb92e8c

Diff

@@ -125,7 +125,7 @@ open RingHom
 
 /- warning: one_le_pow_mul_abs_eval_div -> one_le_pow_mul_abs_eval_div is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.semiring} {a : Int} {b : Int}, (LT.lt.{0} Int Int.hasLt (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (OrderedAddCommGroup.toPartialOrder.{u1} K (StrictOrderedRing.toOrderedAddCommGroup.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (OfNat.ofNat.{u1} K 1 (OfNat.mk.{u1} K 1 (One.one.{u1} K (AddMonoidWithOne.toOne.{u1} K (AddGroupWithOne.toAddMonoidWithOne.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (Ring.toMonoid.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b) (Polynomial.natDegree.{0} Int Int.semiring f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (SubNegMonoid.toHasNeg.{u1} K (AddGroup.toSubNegMonoid.{u1} K (AddGroupWithOne.toAddGroup.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))) (SemilatticeSup.toHasSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (LinearOrder.toLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
+  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.semiring} {a : Int} {b : Int}, (LT.lt.{0} Int Int.hasLt (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))))) -> (LE.le.{u1} K (Preorder.toHasLe.{u1} K (PartialOrder.toPreorder.{u1} K (OrderedAddCommGroup.toPartialOrder.{u1} K (StrictOrderedRing.toOrderedAddCommGroup.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (OfNat.ofNat.{u1} K 1 (OfNat.mk.{u1} K 1 (One.one.{u1} K (AddMonoidWithOne.toOne.{u1} K (AddGroupWithOne.toAddMonoidWithOne.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (Ring.toMonoid.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b) (Polynomial.natDegree.{0} Int Int.semiring f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (SubNegMonoid.toHasNeg.{u1} K (AddGroup.toSubNegMonoid.{u1} K (AddGroupWithOne.toAddGroup.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))) (SemilatticeSup.toHasSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (LinearOrder.toLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
 but is expected to have type
   forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.instSemiringInt} {a : Int} {b : Int}, (LT.lt.{0} Int Int.instLTInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (StrictOrderedRing.toPartialOrder.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (Semiring.toOne.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b) (Polynomial.natDegree.{0} Int Int.instSemiringInt f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (Ring.toNeg.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (SemilatticeSup.toSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (DistribLattice.toLattice.{u1} K (instDistribLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))))) (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
 Case conversion may be inaccurate. Consider using '#align one_le_pow_mul_abs_eval_div one_le_pow_mul_abs_eval_divₓ'. -/

97eab485

bump to nightly-2023-05-08-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1

63e712c6

Diff

@@ -127,7 +127,7 @@ open RingHom
 lean 3 declaration is
   forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.semiring} {a : Int} {b : Int}, (LT.lt.{0} Int Int.hasLt (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (OrderedAddCommGroup.toPartialOrder.{u1} K (StrictOrderedRing.toOrderedAddCommGroup.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (OfNat.ofNat.{u1} K 1 (OfNat.mk.{u1} K 1 (One.one.{u1} K (AddMonoidWithOne.toOne.{u1} K (AddGroupWithOne.toAddMonoidWithOne.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (Ring.toMonoid.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b) (Polynomial.natDegree.{0} Int Int.semiring f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (SubNegMonoid.toHasNeg.{u1} K (AddGroup.toSubNegMonoid.{u1} K (AddGroupWithOne.toAddGroup.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))) (SemilatticeSup.toHasSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (LinearOrder.toLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
 but is expected to have type
-  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.instSemiringInt} {a : Int} {b : Int}, (LT.lt.{0} Int Int.instLTInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (StrictOrderedRing.toPartialOrder.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (NonAssocRing.toOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b) (Polynomial.natDegree.{0} Int Int.instSemiringInt f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (Ring.toNeg.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (SemilatticeSup.toSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (DistribLattice.toLattice.{u1} K (instDistribLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))))) (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
+  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.instSemiringInt} {a : Int} {b : Int}, (LT.lt.{0} Int Int.instLTInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (StrictOrderedRing.toPartialOrder.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (Semiring.toOne.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b) (Polynomial.natDegree.{0} Int Int.instSemiringInt f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (Ring.toNeg.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (SemilatticeSup.toSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (DistribLattice.toLattice.{u1} K (instDistribLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))))) (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
 Case conversion may be inaccurate. Consider using '#align one_le_pow_mul_abs_eval_div one_le_pow_mul_abs_eval_divₓ'. -/
 /-- Evaluating a polynomial with integer coefficients at a rational number and clearing
 denominators, yields a number greater than or equal to one.  The target can be any

97eab485

bump to nightly-2023-03-27-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1

0e4ebd8c

Diff

@@ -125,7 +125,7 @@ open RingHom
 
 /- warning: one_le_pow_mul_abs_eval_div -> one_le_pow_mul_abs_eval_div is a dubious translation:
 lean 3 declaration is
-  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.semiring} {a : Int} {b : Int}, (LT.lt.{0} Int Int.hasLt (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (OrderedAddCommGroup.toPartialOrder.{u1} K (StrictOrderedRing.toOrderedAddCommGroup.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (OfNat.ofNat.{u1} K 1 (OfNat.mk.{u1} K 1 (One.one.{u1} K (AddMonoidWithOne.toOne.{u1} K (AddGroupWithOne.toAddMonoidWithOne.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (Ring.toMonoid.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b) (Polynomial.natDegree.{0} Int Int.semiring f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (SubNegMonoid.toHasNeg.{u1} K (AddGroup.toSubNegMonoid.{u1} K (AddGroupWithOne.toAddGroup.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))) (SemilatticeSup.toHasSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (LinearOrder.toLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
+  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.semiring} {a : Int} {b : Int}, (LT.lt.{0} Int Int.hasLt (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (OrderedAddCommGroup.toPartialOrder.{u1} K (StrictOrderedRing.toOrderedAddCommGroup.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (OfNat.ofNat.{u1} K 1 (OfNat.mk.{u1} K 1 (One.one.{u1} K (AddMonoidWithOne.toOne.{u1} K (AddGroupWithOne.toAddMonoidWithOne.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (Ring.toMonoid.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b) (Polynomial.natDegree.{0} Int Int.semiring f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (SubNegMonoid.toHasNeg.{u1} K (AddGroup.toSubNegMonoid.{u1} K (AddGroupWithOne.toAddGroup.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))) (SemilatticeSup.toHasSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (LinearOrder.toLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (AddCommGroupWithOne.toAddGroupWithOne.{u1} K (Ring.toAddCommGroupWithOne.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
 but is expected to have type
   forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.instSemiringInt} {a : Int} {b : Int}, (LT.lt.{0} Int Int.instLTInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (StrictOrderedRing.toPartialOrder.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (NonAssocRing.toOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b) (Polynomial.natDegree.{0} Int Int.instSemiringInt f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (Ring.toNeg.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (SemilatticeSup.toSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (DistribLattice.toLattice.{u1} K (instDistribLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))))) (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
 Case conversion may be inaccurate. Consider using '#align one_le_pow_mul_abs_eval_div one_le_pow_mul_abs_eval_divₓ'. -/

97eab485

bump to nightly-2023-03-25-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/d11893b411025250c8e61ff2f12ccbd7ee35ab15

9ce440f0

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
 
 ! This file was ported from Lean 3 source module data.polynomial.denoms_clearable
-! leanprover-community/mathlib commit 85d9f2189d9489f9983c0d01536575b0233bd305
+! leanprover-community/mathlib commit 97eab48559068f3d6313da387714ef25768fb730
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Data.Polynomial.Eval
 /-!
 # Denominators of evaluation of polynomials at ratios
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Let `i : R → K` be a homomorphism of semirings.  Assume that `K` is commutative.  If `a` and
 `b` are elements of `R` such that `i b ∈ K` is invertible, then for any polynomial
 `f ∈ R[X]` the "mathematical" expression `b ^ f.nat_degree * f (a / b) ∈ K` is in

85d9f218

bump to nightly-2023-03-23-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/57e09a1296bfb4330ddf6624f1028ba186117d82

15f1b32d

Diff

@@ -31,6 +31,7 @@ variable {R K : Type _} [Semiring R] [CommSemiring K] {i : R →+* K}
 
 variable {a b : R} {bi : K}
 
+#print DenomsClearable /-
 -- TODO: use hypothesis (ub : is_unit (i b)) to work with localizations.
 /-- `denoms_clearable` formalizes the property that `b ^ N * f (a / b)`
 does not have denominators, if the inequality `f.nat_degree ≤ N` holds.
@@ -42,14 +43,27 @@ the fraction equals `i D`.
 def DenomsClearable (a b : R) (N : ℕ) (f : R[X]) (i : R →+* K) : Prop :=
   ∃ (D : R)(bi : K), bi * i b = 1 ∧ i D = i b ^ N * eval (i a * bi) (f.map i)
 #align denoms_clearable DenomsClearable
+-/
 
+/- warning: denoms_clearable_zero -> denomsClearable_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (OfNat.ofNat.{u1} (Polynomial.{u1} R _inst_1) 0 (OfNat.mk.{u1} (Polynomial.{u1} R _inst_1) 0 (Zero.zero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.zero.{u1} R _inst_1)))) i)
+but is expected to have type
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (OfNat.ofNat.{u1} (Polynomial.{u1} R _inst_1) 0 (Zero.toOfNat0.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.zero.{u1} R _inst_1))) i)
+Case conversion may be inaccurate. Consider using '#align denoms_clearable_zero denomsClearable_zeroₓ'. -/
 theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClearable a b N 0 i :=
   ⟨0, bi, bu, by
     simp only [eval_zero, RingHom.map_zero, MulZeroClass.mul_zero, Polynomial.map_zero]⟩
 #align denoms_clearable_zero denomsClearable_zero
 
+/- warning: denoms_clearable_C_mul_X_pow -> denomsClearable_C_mul_X_pow is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} {N : Nat} (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (forall {n : Nat} (r : R), (LE.le.{0} Nat Nat.hasLe n N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (HMul.hMul.{u1, u1, u1} (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHMul.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.mul'.{u1} R _inst_1)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) => R -> (Polynomial.{u1} R _inst_1)) (RingHom.hasCoeToFun.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (Polynomial.C.{u1} R _inst_1) r) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} R _inst_1) Nat (Polynomial.{u1} R _inst_1) (instHPow.{u1, 0} (Polynomial.{u1} R _inst_1) Nat (Monoid.Pow.{u1} (Polynomial.{u1} R _inst_1) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)) i))
+but is expected to have type
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} {N : Nat} (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (forall {n : Nat} (r : R), (LE.le.{0} Nat instLENat n N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R _inst_1) r) (Polynomial.mul'.{u1} R _inst_1)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Polynomial.{u1} R _inst_1) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))) R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} R (Polynomial.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1)))))) (Polynomial.C.{u1} R _inst_1) r) (HPow.hPow.{u1, 0, u1} (Polynomial.{u1} R _inst_1) Nat (Polynomial.{u1} R _inst_1) (instHPow.{u1, 0} (Polynomial.{u1} R _inst_1) Nat (Monoid.Pow.{u1} (Polynomial.{u1} R _inst_1) (MonoidWithZero.toMonoid.{u1} (Polynomial.{u1} R _inst_1) (Semiring.toMonoidWithZero.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.semiring.{u1} R _inst_1))))) (Polynomial.X.{u1} R _inst_1) n)) i))
+Case conversion may be inaccurate. Consider using '#align denoms_clearable_C_mul_X_pow denomsClearable_C_mul_X_powₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Lean3.lean:132:4: warning: unsupported: rw with cfg: { occs := occurrences.pos[occurrences.pos] «expr[ ,]»([2]) } -/
-theorem denomsClearable_c_mul_x_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : ℕ} (r : R)
+theorem denomsClearable_C_mul_X_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : ℕ} (r : R)
     (nN : n ≤ N) : DenomsClearable a b N (C r * X ^ n) i :=
   by
   refine' ⟨r * a ^ n * b ^ (N - n), bi, bu, _⟩
@@ -58,8 +72,14 @@ theorem denomsClearable_c_mul_x_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : 
   rw [← tsub_add_cancel_of_le nN]
   rw [pow_add, mul_assoc, mul_comm (i b ^ n), mul_pow, mul_assoc, mul_assoc (i a ^ n), ← mul_pow]
   rw [bu, one_pow, mul_one]
-#align denoms_clearable_C_mul_X_pow denomsClearable_c_mul_x_pow
-
+#align denoms_clearable_C_mul_X_pow denomsClearable_C_mul_X_pow
+
+/- warning: denoms_clearable.add -> DenomsClearable.add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {a : R} {b : R} {N : Nat} {f : Polynomial.{u1} R _inst_1} {g : Polynomial.{u1} R _inst_1}, (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N f i) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N g i) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N (HAdd.hAdd.{u1, u1, u1} (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (Polynomial.{u1} R _inst_1) (instHAdd.{u1} (Polynomial.{u1} R _inst_1) (Polynomial.add'.{u1} R _inst_1)) f g) i)
+but is expected to have type
+  forall {R : Type.{u2}} {K : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : CommSemiring.{u1} K] {i : RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))} {a : R} {b : R} {N : Nat} {f : Polynomial.{u2} R _inst_1} {g : Polynomial.{u2} R _inst_1}, (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b N f i) -> (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b N g i) -> (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b N (HAdd.hAdd.{u2, u2, u2} (Polynomial.{u2} R _inst_1) (Polynomial.{u2} R _inst_1) (Polynomial.{u2} R _inst_1) (instHAdd.{u2} (Polynomial.{u2} R _inst_1) (Polynomial.add'.{u2} R _inst_1)) f g) i)
+Case conversion may be inaccurate. Consider using '#align denoms_clearable.add DenomsClearable.addₓ'. -/
 theorem DenomsClearable.add {N : ℕ} {f g : R[X]} :
     DenomsClearable a b N f i → DenomsClearable a b N g i → DenomsClearable a b N (f + g) i :=
   fun ⟨Df, bf, bfu, Hf⟩ ⟨Dg, bg, bgu, Hg⟩ =>
@@ -70,12 +90,24 @@ theorem DenomsClearable.add {N : ℕ} {f g : R[X]} :
     refine' @inv_unique K _ (i b) bg bf _ _ <;> rwa [mul_comm]⟩
 #align denoms_clearable.add DenomsClearable.add
 
+/- warning: denoms_clearable_of_nat_degree_le -> denomsClearable_of_natDegree_le is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (forall (f : Polynomial.{u1} R _inst_1), (LE.le.{0} Nat Nat.hasLe (Polynomial.natDegree.{u1} R _inst_1 f) N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N f i))
+but is expected to have type
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))} {b : R} {bi : K} (N : Nat) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) b) K (instHMul.{u2} K (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) bi (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) i b)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))) -> (forall (f : Polynomial.{u1} R _inst_1), (LE.le.{0} Nat instLENat (Polynomial.natDegree.{u1} R _inst_1 f) N) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b N f i))
+Case conversion may be inaccurate. Consider using '#align denoms_clearable_of_nat_degree_le denomsClearable_of_natDegree_leₓ'. -/
 theorem denomsClearable_of_natDegree_le (N : ℕ) (a : R) (bu : bi * i b = 1) :
     ∀ f : R[X], f.natDegree ≤ N → DenomsClearable a b N f i :=
   induction_with_natDegree_le _ N (denomsClearable_zero N a bu)
-    (fun N_1 r r0 => denomsClearable_c_mul_x_pow a bu r) fun f g fg gN df dg => df.add dg
+    (fun N_1 r r0 => denomsClearable_C_mul_X_pow a bu r) fun f g fg gN df dg => df.add dg
 #align denoms_clearable_of_nat_degree_le denomsClearable_of_natDegree_le
 
+/- warning: denoms_clearable_nat_degree -> denomsClearable_natDegree is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {K : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : CommSemiring.{u2} K] {b : R} {bi : K} (i : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (f : Polynomial.{u1} R _inst_1) (a : R), (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2)))))) bi (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))) i b)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} K (NonAssocSemiring.toAddCommMonoidWithOne.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K _inst_2))))))))) -> (DenomsClearable.{u1, u2} R K _inst_1 _inst_2 a b (Polynomial.natDegree.{u1} R _inst_1 f) f i)
+but is expected to have type
+  forall {R : Type.{u2}} {K : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : CommSemiring.{u1} K] {b : R} {bi : K} (i : RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) (f : Polynomial.{u2} R _inst_1) (a : R), (Eq.{succ u1} K (HMul.hMul.{u1, u1, u1} K ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) b) K (instHMul.{u1} K (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))))) bi (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))) R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2)))))) i b)) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (Semiring.toOne.{u1} K (CommSemiring.toSemiring.{u1} K _inst_2))))) -> (DenomsClearable.{u2, u1} R K _inst_1 _inst_2 a b (Polynomial.natDegree.{u2} R _inst_1 f) f i)
+Case conversion may be inaccurate. Consider using '#align denoms_clearable_nat_degree denomsClearable_natDegreeₓ'. -/
 /-- If `i : R → K` is a ring homomorphism, `f` is a polynomial with coefficients in `R`,
 `a, b` are elements of `R`, with `i b` invertible, then there is a `D ∈ R` such that
 `b ^ f.nat_degree * f (a / b)` equals `i D`. -/
@@ -88,6 +120,12 @@ end DenomsClearable
 
 open RingHom
 
+/- warning: one_le_pow_mul_abs_eval_div -> one_le_pow_mul_abs_eval_div is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.semiring} {a : Int} {b : Int}, (LT.lt.{0} Int Int.hasLt (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (OrderedAddCommGroup.toPartialOrder.{u1} K (StrictOrderedRing.toOrderedAddCommGroup.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (OfNat.ofNat.{u1} K 1 (OfNat.mk.{u1} K 1 (One.one.{u1} K (AddMonoidWithOne.toOne.{u1} K (AddGroupWithOne.toAddMonoidWithOne.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (Ring.toMonoid.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b) (Polynomial.natDegree.{0} Int Int.semiring f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (SubNegMonoid.toHasNeg.{u1} K (AddGroup.toSubNegMonoid.{u1} K (AddGroupWithOne.toAddGroup.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))))))) (SemilatticeSup.toHasSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (LinearOrder.toLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1))))))) (Polynomial.eval.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (DivInvMonoid.toHasDiv.{u1} K (DivisionRing.toDivInvMonoid.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) a) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int K (HasLiftT.mk.{1, succ u1} Int K (CoeTCₓ.coe.{1, succ u1} Int K (Int.castCoe.{u1} K (AddGroupWithOne.toHasIntCast.{u1} K (NonAssocRing.toAddGroupWithOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))))) b)) (Polynomial.map.{0, u1} Int K Int.semiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.commSemiring (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
+but is expected to have type
+  forall {K : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} K] {f : Polynomial.{0} Int Int.instSemiringInt} {a : Int} {b : Int}, (LT.lt.{0} Int Int.instLTInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) b) -> (Ne.{succ u1} K (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)) (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) -> (LE.le.{u1} K (Preorder.toLE.{u1} K (PartialOrder.toPreorder.{u1} K (StrictOrderedRing.toPartialOrder.{u1} K (LinearOrderedRing.toStrictOrderedRing.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (NonAssocRing.toOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))) (HMul.hMul.{u1, u1, u1} K K K (instHMul.{u1} K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))))) (HPow.hPow.{u1, 0, u1} K Nat K (instHPow.{u1, 0} K Nat (Monoid.Pow.{u1} K (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))))))) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b) (Polynomial.natDegree.{0} Int Int.instSemiringInt f)) (Abs.abs.{u1} K (Neg.toHasAbs.{u1} K (Ring.toNeg.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) (SemilatticeSup.toSup.{u1} K (Lattice.toSemilatticeSup.{u1} K (DistribLattice.toLattice.{u1} K (instDistribLattice.{u1} K (LinearOrderedRing.toLinearOrder.{u1} K (LinearOrderedCommRing.toLinearOrderedRing.{u1} K (LinearOrderedField.toLinearOrderedCommRing.{u1} K _inst_1)))))))) (Polynomial.eval.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (HDiv.hDiv.{u1, u1, u1} K K K (instHDiv.{u1} K (LinearOrderedField.toDiv.{u1} K _inst_1)) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) a) (Int.cast.{u1} K (Ring.toIntCast.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1)))) b)) (Polynomial.map.{0, u1} Int K (CommSemiring.toSemiring.{0} Int Int.instCommSemiringInt) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraMap.{0, u1} Int K Int.instCommSemiringInt (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (LinearOrderedSemifield.toSemifield.{u1} K (LinearOrderedField.toLinearOrderedSemifield.{u1} K _inst_1)))) (algebraInt.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K (LinearOrderedField.toField.{u1} K _inst_1))))) f)))))
+Case conversion may be inaccurate. Consider using '#align one_le_pow_mul_abs_eval_div one_le_pow_mul_abs_eval_divₓ'. -/
 /-- Evaluating a polynomial with integer coefficients at a rational number and clearing
 denominators, yields a number greater than or equal to one.  The target can be any
 `linear_ordered_field K`.

85d9f218

bump to nightly-2023-03-11-16

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

cd44fb92

Diff

@@ -44,7 +44,8 @@ def DenomsClearable (a b : R) (N : ℕ) (f : R[X]) (i : R →+* K) : Prop :=
 #align denoms_clearable DenomsClearable
 
 theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClearable a b N 0 i :=
-  ⟨0, bi, bu, by simp only [eval_zero, RingHom.map_zero, mul_zero, Polynomial.map_zero]⟩
+  ⟨0, bi, bu, by
+    simp only [eval_zero, RingHom.map_zero, MulZeroClass.mul_zero, Polynomial.map_zero]⟩
 #align denoms_clearable_zero denomsClearable_zero
 
 /- ./././Mathport/Syntax/Translate/Tactic/Lean3.lean:132:4: warning: unsupported: rw with cfg: { occs := occurrences.pos[occurrences.pos] «expr[ ,]»([2]) } -/

85d9f218

bump to nightly-2023-03-08-10

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

422cc012

Diff

@@ -49,7 +49,7 @@ theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClear
 
 /- ./././Mathport/Syntax/Translate/Tactic/Lean3.lean:132:4: warning: unsupported: rw with cfg: { occs := occurrences.pos[occurrences.pos] «expr[ ,]»([2]) } -/
 theorem denomsClearable_c_mul_x_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : ℕ} (r : R)
-    (nN : n ≤ N) : DenomsClearable a b N (c r * x ^ n) i :=
+    (nN : n ≤ N) : DenomsClearable a b N (C r * X ^ n) i :=
   by
   refine' ⟨r * a ^ n * b ^ (N - n), bi, bu, _⟩
   rw [C_mul_X_pow_eq_monomial, map_monomial, ← C_mul_X_pow_eq_monomial, eval_mul, eval_pow, eval_C]

85d9f218

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

85d9f218

move(Polynomial): Move out of Data (#11751)

Polynomial and MvPolynomial are algebraic objects, hence should be under Algebra (or at least not under Data)

56e439ec

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
 -/
-import Mathlib.Data.Polynomial.EraseLead
-import Mathlib.Data.Polynomial.Eval
+import Mathlib.Algebra.Polynomial.EraseLead
+import Mathlib.Algebra.Polynomial.Eval
 
 #align_import data.polynomial.denoms_clearable from "leanprover-community/mathlib"@"85d9f2189d9489f9983c0d01536575b0233bd305"

85d9f218

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -25,7 +25,6 @@ open Polynomial
 section DenomsClearable
 
 variable {R K : Type*} [Semiring R] [CommSemiring K] {i : R →+* K}
-
 variable {a b : R} {bi : K}
 
 -- TODO: use hypothesis (ub : IsUnit (i b)) to work with localizations.

85d9f218

chore: space after ← (#8178)

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

5fb9beab

Diff

@@ -100,7 +100,7 @@ theorem one_le_pow_mul_abs_eval_div {K : Type*} [LinearOrderedField K] {f : ℤ[
   obtain Fa := _root_.congr_arg abs hF
   rw [eq_one_div_of_mul_eq_one_left bu, eq_intCast, eq_intCast, abs_mul] at Fa
   rw [abs_of_pos (pow_pos (Int.cast_pos.mpr b0) _ : 0 < (b : K) ^ _), one_div, eq_intCast] at Fa
-  rw [div_eq_mul_inv, ←Fa, ← Int.cast_abs, ← Int.cast_one, Int.cast_le]
+  rw [div_eq_mul_inv, ← Fa, ← Int.cast_abs, ← Int.cast_one, Int.cast_le]
   refine' Int.le_of_lt_add_one ((lt_add_iff_pos_left 1).mpr (abs_pos.mpr fun F0 => fab _))
   rw [eq_one_div_of_mul_eq_one_left bu, F0, one_div, eq_intCast, Int.cast_zero, zero_eq_mul] at hF
   cases' hF with hF hF

85d9f218

chore: drop MulZeroClass. in mul_zero/zero_mul (#6682)

Search&replace MulZeroClass.mul_zero -> mul_zero, MulZeroClass.zero_mul -> zero_mul.

These were introduced by Mathport, as the full name of mul_zero is actually MulZeroClass.mul_zero (it's exported with the short name).

277dea95

Diff

@@ -42,7 +42,7 @@ def DenomsClearable (a b : R) (N : ℕ) (f : R[X]) (i : R →+* K) : Prop :=
 
 theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClearable a b N 0 i :=
   ⟨0, bi, bu, by
-    simp only [eval_zero, RingHom.map_zero, MulZeroClass.mul_zero, Polynomial.map_zero]⟩
+    simp only [eval_zero, RingHom.map_zero, mul_zero, Polynomial.map_zero]⟩
 #align denoms_clearable_zero denomsClearable_zero
 
 theorem denomsClearable_C_mul_X_pow {N : ℕ} (a : R) (bu : bi * i b = 1) {n : ℕ} (r : R)

85d9f218

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

@@ -24,7 +24,7 @@ open Polynomial
 
 section DenomsClearable
 
-variable {R K : Type _} [Semiring R] [CommSemiring K] {i : R →+* K}
+variable {R K : Type*} [Semiring R] [CommSemiring K] {i : R →+* K}
 
 variable {a b : R} {bi : K}
 
@@ -88,7 +88,7 @@ denominators, yields a number greater than or equal to one.  The target can be a
 `LinearOrderedField K`.
 The assumption on `K` could be weakened to `LinearOrderedCommRing` assuming that the
 image of the denominator is invertible in `K`. -/
-theorem one_le_pow_mul_abs_eval_div {K : Type _} [LinearOrderedField K] {f : ℤ[X]} {a b : ℤ}
+theorem one_le_pow_mul_abs_eval_div {K : Type*} [LinearOrderedField K] {f : ℤ[X]} {a b : ℤ}
     (b0 : 0 < b) (fab : eval ((a : K) / b) (f.map (algebraMap ℤ K)) ≠ 0) :
     (1 : K) ≤ (b : K) ^ f.natDegree * |eval ((a : K) / b) (f.map (algebraMap ℤ K))| := by
   obtain ⟨ev, bi, bu, hF⟩ :=

85d9f218

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

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Damiano Testa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Damiano Testa
-
-! This file was ported from Lean 3 source module data.polynomial.denoms_clearable
-! leanprover-community/mathlib commit 85d9f2189d9489f9983c0d01536575b0233bd305
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Polynomial.EraseLead
 import Mathlib.Data.Polynomial.Eval
 
+#align_import data.polynomial.denoms_clearable from "leanprover-community/mathlib"@"85d9f2189d9489f9983c0d01536575b0233bd305"
+
 /-!
 # Denominators of evaluation of polynomials at ratios

85d9f218

chore: formatting issues (#4947)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

5068808d

Diff

@@ -40,7 +40,7 @@ element `bi = 1 / i b` of `K` such that clearing the denominators of
 the fraction equals `i D`.
 -/
 def DenomsClearable (a b : R) (N : ℕ) (f : R[X]) (i : R →+* K) : Prop :=
-  ∃ (D : R)(bi : K), bi * i b = 1 ∧ i D = i b ^ N * eval (i a * bi) (f.map i)
+  ∃ (D : R) (bi : K), bi * i b = 1 ∧ i D = i b ^ N * eval (i a * bi) (f.map i)
 #align denoms_clearable DenomsClearable
 
 theorem denomsClearable_zero (N : ℕ) (a : R) (bu : bi * i b = 1) : DenomsClearable a b N 0 i :=

85d9f218

chore: reenable eta, bump to nightly 2023-05-16 (#3414)

Now that leanprover/lean4#2210 has been merged, this PR:

removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
removes many but not quite all set_option maxHeartbeats commands
makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

a6e1045f

Diff

@@ -86,8 +86,6 @@ end DenomsClearable
 
 open RingHom
 
---Porting note: `etaExperiment` is required to synthesize the `RingHomClass (ℤ →+* K) ℤ K` instance
-set_option synthInstance.etaExperiment true in
 /-- Evaluating a polynomial with integer coefficients at a rational number and clearing
 denominators, yields a number greater than or equal to one.  The target can be any
 `LinearOrderedField K`.

85d9f218

chore: bye-bye, solo bys! (#3825)

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

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

14167e48

Diff

@@ -62,8 +62,7 @@ set_option linter.uppercaseLean3 false in
 theorem DenomsClearable.add {N : ℕ} {f g : R[X]} :
     DenomsClearable a b N f i → DenomsClearable a b N g i → DenomsClearable a b N (f + g) i :=
   fun ⟨Df, bf, bfu, Hf⟩ ⟨Dg, bg, bgu, Hg⟩ =>
-  ⟨Df + Dg, bf, bfu,
-    by
+  ⟨Df + Dg, bf, bfu, by
     rw [RingHom.map_add, Polynomial.map_add, eval_add, mul_add, Hf, Hg]
     congr
     refine' @inv_unique K _ (i b) bg bf _ _ <;> rwa [mul_comm]⟩

85d9f218

chore: tidy various files (#3110)

0bcbc985

Diff

@@ -16,7 +16,7 @@ import Mathlib.Data.Polynomial.Eval
 
 Let `i : R → K` be a homomorphism of semirings.  Assume that `K` is commutative.  If `a` and
 `b` are elements of `R` such that `i b ∈ K` is invertible, then for any polynomial
-`f ∈ R[X]` the "mathematical" expression `b ^ f.nat_degree * f (a / b) ∈ K` is in
+`f ∈ R[X]` the "mathematical" expression `b ^ f.natDegree * f (a / b) ∈ K` is in
 the image of the homomorphism `i`.
 -/
 
@@ -31,7 +31,7 @@ variable {R K : Type _} [Semiring R] [CommSemiring K] {i : R →+* K}
 
 variable {a b : R} {bi : K}
 
--- TODO: use hypothesis (ub : is_unit (i b)) to work with localizations.
+-- TODO: use hypothesis (ub : IsUnit (i b)) to work with localizations.
 /-- `denomsClearable` formalizes the property that `b ^ N * f (a / b)`
 does not have denominators, if the inequality `f.natDegree ≤ N` holds.
 
@@ -87,7 +87,7 @@ end DenomsClearable
 
 open RingHom
 
---Porting note: `etaExmperiment` is required to synthesize the `RingHomClass (ℤ →+* K) ℤ K` instance
+--Porting note: `etaExperiment` is required to synthesize the `RingHomClass (ℤ →+* K) ℤ K` instance
 set_option synthInstance.etaExperiment true in
 /-- Evaluating a polynomial with integer coefficients at a rational number and clearing
 denominators, yields a number greater than or equal to one.  The target can be any
@@ -98,7 +98,7 @@ theorem one_le_pow_mul_abs_eval_div {K : Type _} [LinearOrderedField K] {f : ℤ
     (b0 : 0 < b) (fab : eval ((a : K) / b) (f.map (algebraMap ℤ K)) ≠ 0) :
     (1 : K) ≤ (b : K) ^ f.natDegree * |eval ((a : K) / b) (f.map (algebraMap ℤ K))| := by
   obtain ⟨ev, bi, bu, hF⟩ :=
-    @denomsClearable_natDegree _ _ _ _ b _ (algebraMap ℤ K) f a
+    denomsClearable_natDegree (b := b) (algebraMap ℤ K) f a
       (by
         rw [eq_intCast, one_div_mul_cancel]
         rw [Int.cast_ne_zero]

85d9f218

feat: port Data.Polynomial.DenomsClearable (#2978)

d033c086

`data.polynomial.denoms_clearable` ⟷ `Mathlib.Data.Polynomial.DenomsClearable`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 400

data.polynomial.denoms_clearable ⟷ Mathlib.Data.Polynomial.DenomsClearable

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 400

`data.polynomial.denoms_clearable` ⟷ `Mathlib.Data.Polynomial.DenomsClearable`