data.zmod.parityMathlib.Data.ZMod.Parity

This file has been ported!

Changes since the initial port

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

Changes in mathlib3

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kyle Miller
 -/
 import Data.Nat.Parity
-import Data.Zmod.Basic
+import Data.ZMod.Basic
 
 #align_import data.zmod.parity from "leanprover-community/mathlib"@"290a7ba01fbcab1b64757bdaa270d28f4dcede35"
 
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2020 Kyle Miller. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kyle Miller
 -/
-import Mathbin.Data.Nat.Parity
-import Mathbin.Data.Zmod.Basic
+import Data.Nat.Parity
+import Data.Zmod.Basic
 
 #align_import data.zmod.parity from "leanprover-community/mathlib"@"290a7ba01fbcab1b64757bdaa270d28f4dcede35"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Kyle Miller. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kyle Miller
-
-! This file was ported from Lean 3 source module data.zmod.parity
-! leanprover-community/mathlib commit 290a7ba01fbcab1b64757bdaa270d28f4dcede35
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Nat.Parity
 import Mathbin.Data.Zmod.Basic
 
+#align_import data.zmod.parity from "leanprover-community/mathlib"@"290a7ba01fbcab1b64757bdaa270d28f4dcede35"
+
 /-!
 # Relating parity to natural numbers mod 2
 
Diff
@@ -27,17 +27,23 @@ parity, zmod, even, odd
 
 namespace ZMod
 
+#print ZMod.eq_zero_iff_even /-
 theorem eq_zero_iff_even {n : ℕ} : (n : ZMod 2) = 0 ↔ Even n :=
   (CharP.cast_eq_zero_iff (ZMod 2) 2 n).trans even_iff_two_dvd.symm
 #align zmod.eq_zero_iff_even ZMod.eq_zero_iff_even
+-/
 
+#print ZMod.eq_one_iff_odd /-
 theorem eq_one_iff_odd {n : ℕ} : (n : ZMod 2) = 1 ↔ Odd n := by
   rw [← @Nat.cast_one (ZMod 2), ZMod.eq_iff_modEq_nat, Nat.odd_iff, Nat.ModEq]; norm_num
 #align zmod.eq_one_iff_odd ZMod.eq_one_iff_odd
+-/
 
+#print ZMod.ne_zero_iff_odd /-
 theorem ne_zero_iff_odd {n : ℕ} : (n : ZMod 2) ≠ 0 ↔ Odd n := by
   constructor <;> · contrapose; simp [eq_zero_iff_even]
 #align zmod.ne_zero_iff_odd ZMod.ne_zero_iff_odd
+-/
 
 end ZMod
 
Diff
@@ -27,32 +27,14 @@ parity, zmod, even, odd
 
 namespace ZMod
 
-/- warning: zmod.eq_zero_iff_even -> ZMod.eq_zero_iff_even is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align zmod.eq_zero_iff_even ZMod.eq_zero_iff_evenₓ'. -/
 theorem eq_zero_iff_even {n : ℕ} : (n : ZMod 2) = 0 ↔ Even n :=
   (CharP.cast_eq_zero_iff (ZMod 2) 2 n).trans even_iff_two_dvd.symm
 #align zmod.eq_zero_iff_even ZMod.eq_zero_iff_even
 
-/- warning: zmod.eq_one_iff_odd -> ZMod.eq_one_iff_odd is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align zmod.eq_one_iff_odd ZMod.eq_one_iff_oddₓ'. -/
 theorem eq_one_iff_odd {n : ℕ} : (n : ZMod 2) = 1 ↔ Odd n := by
   rw [← @Nat.cast_one (ZMod 2), ZMod.eq_iff_modEq_nat, Nat.odd_iff, Nat.ModEq]; norm_num
 #align zmod.eq_one_iff_odd ZMod.eq_one_iff_odd
 
-/- warning: zmod.ne_zero_iff_odd -> ZMod.ne_zero_iff_odd is a dubious translation:
-lean 3 declaration is
-  forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddCommGroupWithOne.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toAddCommGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (MulZeroClass.toHasZero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocSemiring.toMulZeroClass.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toNonUnitalNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two)))))))))))) (Odd.{0} Nat Nat.semiring n)
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-  forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semiring.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionSemiring.toSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toDivisionSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
-Case conversion may be inaccurate. Consider using '#align zmod.ne_zero_iff_odd ZMod.ne_zero_iff_oddₓ'. -/
 theorem ne_zero_iff_odd {n : ℕ} : (n : ZMod 2) ≠ 0 ↔ Odd n := by
   constructor <;> · contrapose; simp [eq_zero_iff_even]
 #align zmod.ne_zero_iff_odd ZMod.ne_zero_iff_odd
Diff
@@ -43,10 +43,8 @@ lean 3 declaration is
 but is expected to have type
   forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semiring.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionSemiring.toSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toDivisionSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 1 (One.toOfNat1.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semiring.toOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionSemiring.toSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toDivisionSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
 Case conversion may be inaccurate. Consider using '#align zmod.eq_one_iff_odd ZMod.eq_one_iff_oddₓ'. -/
-theorem eq_one_iff_odd {n : ℕ} : (n : ZMod 2) = 1 ↔ Odd n :=
-  by
-  rw [← @Nat.cast_one (ZMod 2), ZMod.eq_iff_modEq_nat, Nat.odd_iff, Nat.ModEq]
-  norm_num
+theorem eq_one_iff_odd {n : ℕ} : (n : ZMod 2) = 1 ↔ Odd n := by
+  rw [← @Nat.cast_one (ZMod 2), ZMod.eq_iff_modEq_nat, Nat.odd_iff, Nat.ModEq]; norm_num
 #align zmod.eq_one_iff_odd ZMod.eq_one_iff_odd
 
 /- warning: zmod.ne_zero_iff_odd -> ZMod.ne_zero_iff_odd is a dubious translation:
@@ -56,9 +54,7 @@ but is expected to have type
   forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semiring.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionSemiring.toSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toDivisionSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
 Case conversion may be inaccurate. Consider using '#align zmod.ne_zero_iff_odd ZMod.ne_zero_iff_oddₓ'. -/
 theorem ne_zero_iff_odd {n : ℕ} : (n : ZMod 2) ≠ 0 ↔ Odd n := by
-  constructor <;>
-    · contrapose
-      simp [eq_zero_iff_even]
+  constructor <;> · contrapose; simp [eq_zero_iff_even]
 #align zmod.ne_zero_iff_odd ZMod.ne_zero_iff_odd
 
 end ZMod
Diff
@@ -31,7 +31,7 @@ namespace ZMod
 lean 3 declaration is
   forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddCommGroupWithOne.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toAddCommGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (MulZeroClass.toHasZero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocSemiring.toMulZeroClass.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toNonUnitalNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two)))))))))))) (Even.{0} Nat Nat.hasAdd n)
 but is expected to have type
-  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Even.{0} Nat instAddNat n)
+  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semiring.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionSemiring.toSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toDivisionSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Even.{0} Nat instAddNat n)
 Case conversion may be inaccurate. Consider using '#align zmod.eq_zero_iff_even ZMod.eq_zero_iff_evenₓ'. -/
 theorem eq_zero_iff_even {n : ℕ} : (n : ZMod 2) = 0 ↔ Even n :=
   (CharP.cast_eq_zero_iff (ZMod 2) 2 n).trans even_iff_two_dvd.symm
@@ -41,7 +41,7 @@ theorem eq_zero_iff_even {n : ℕ} : (n : ZMod 2) = 0 ↔ Even n :=
 lean 3 declaration is
   forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddCommGroupWithOne.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toAddCommGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (One.one.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddMonoidWithOne.toOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddCommGroupWithOne.toAddGroupWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toAddCommGroupWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two))))))))))) (Odd.{0} Nat Nat.semiring n)
 but is expected to have type
-  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 1 (One.toOfNat1.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
+  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semiring.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionSemiring.toSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toDivisionSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 1 (One.toOfNat1.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semiring.toOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionSemiring.toSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toDivisionSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
 Case conversion may be inaccurate. Consider using '#align zmod.eq_one_iff_odd ZMod.eq_one_iff_oddₓ'. -/
 theorem eq_one_iff_odd {n : ℕ} : (n : ZMod 2) = 1 ↔ Odd n :=
   by
@@ -53,7 +53,7 @@ theorem eq_one_iff_odd {n : ℕ} : (n : ZMod 2) = 1 ↔ Odd n :=
 lean 3 declaration is
   forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddCommGroupWithOne.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toAddCommGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (MulZeroClass.toHasZero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocSemiring.toMulZeroClass.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toNonUnitalNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two)))))))))))) (Odd.{0} Nat Nat.semiring n)
 but is expected to have type
-  forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
+  forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semiring.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionSemiring.toSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toDivisionSemiring.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
 Case conversion may be inaccurate. Consider using '#align zmod.ne_zero_iff_odd ZMod.ne_zero_iff_oddₓ'. -/
 theorem ne_zero_iff_odd {n : ℕ} : (n : ZMod 2) ≠ 0 ↔ Odd n := by
   constructor <;>
Diff
@@ -29,7 +29,7 @@ namespace ZMod
 
 /- warning: zmod.eq_zero_iff_even -> ZMod.eq_zero_iff_even is a dubious translation:
 lean 3 declaration is
-  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (NonAssocRing.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (MulZeroClass.toHasZero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocSemiring.toMulZeroClass.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toNonUnitalNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two)))))))))))) (Even.{0} Nat Nat.hasAdd n)
+  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddCommGroupWithOne.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toAddCommGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (MulZeroClass.toHasZero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocSemiring.toMulZeroClass.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toNonUnitalNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two)))))))))))) (Even.{0} Nat Nat.hasAdd n)
 but is expected to have type
   forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Even.{0} Nat instAddNat n)
 Case conversion may be inaccurate. Consider using '#align zmod.eq_zero_iff_even ZMod.eq_zero_iff_evenₓ'. -/
@@ -39,7 +39,7 @@ theorem eq_zero_iff_even {n : ℕ} : (n : ZMod 2) = 0 ↔ Even n :=
 
 /- warning: zmod.eq_one_iff_odd -> ZMod.eq_one_iff_odd is a dubious translation:
 lean 3 declaration is
-  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (NonAssocRing.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (One.one.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddMonoidWithOne.toOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toAddGroupWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two))))))))))) (Odd.{0} Nat Nat.semiring n)
+  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddCommGroupWithOne.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toAddCommGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (One.one.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddMonoidWithOne.toOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddCommGroupWithOne.toAddGroupWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toAddCommGroupWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two))))))))))) (Odd.{0} Nat Nat.semiring n)
 but is expected to have type
   forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 1 (One.toOfNat1.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
 Case conversion may be inaccurate. Consider using '#align zmod.eq_one_iff_odd ZMod.eq_one_iff_oddₓ'. -/
@@ -51,7 +51,7 @@ theorem eq_one_iff_odd {n : ℕ} : (n : ZMod 2) = 1 ↔ Odd n :=
 
 /- warning: zmod.ne_zero_iff_odd -> ZMod.ne_zero_iff_odd is a dubious translation:
 lean 3 declaration is
-  forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (NonAssocRing.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (MulZeroClass.toHasZero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocSemiring.toMulZeroClass.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toNonUnitalNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two)))))))))))) (Odd.{0} Nat Nat.semiring n)
+  forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddCommGroupWithOne.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toAddCommGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (MulZeroClass.toHasZero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocSemiring.toMulZeroClass.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toNonUnitalNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two)))))))))))) (Odd.{0} Nat Nat.semiring n)
 but is expected to have type
   forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
 Case conversion may be inaccurate. Consider using '#align zmod.ne_zero_iff_odd ZMod.ne_zero_iff_oddₓ'. -/
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kyle Miller
 
 ! This file was ported from Lean 3 source module data.zmod.parity
-! leanprover-community/mathlib commit 048240e809f04e2bde02482ab44bc230744cc6c9
+! leanprover-community/mathlib commit 290a7ba01fbcab1b64757bdaa270d28f4dcede35
 ! 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.Zmod.Basic
 /-!
 # Relating parity to natural numbers mod 2
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This module provides lemmas relating `zmod 2` to `even` and `odd`.
 
 ## Tags
Diff
@@ -24,16 +24,34 @@ parity, zmod, even, odd
 
 namespace ZMod
 
+/- warning: zmod.eq_zero_iff_even -> ZMod.eq_zero_iff_even is a dubious translation:
+lean 3 declaration is
+  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (NonAssocRing.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (MulZeroClass.toHasZero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocSemiring.toMulZeroClass.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toNonUnitalNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two)))))))))))) (Even.{0} Nat Nat.hasAdd n)
+but is expected to have type
+  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Even.{0} Nat instAddNat n)
+Case conversion may be inaccurate. Consider using '#align zmod.eq_zero_iff_even ZMod.eq_zero_iff_evenₓ'. -/
 theorem eq_zero_iff_even {n : ℕ} : (n : ZMod 2) = 0 ↔ Even n :=
   (CharP.cast_eq_zero_iff (ZMod 2) 2 n).trans even_iff_two_dvd.symm
 #align zmod.eq_zero_iff_even ZMod.eq_zero_iff_even
 
+/- warning: zmod.eq_one_iff_odd -> ZMod.eq_one_iff_odd is a dubious translation:
+lean 3 declaration is
+  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (NonAssocRing.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (One.one.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddMonoidWithOne.toOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toAddGroupWithOne.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two))))))))))) (Odd.{0} Nat Nat.semiring n)
+but is expected to have type
+  forall {n : Nat}, Iff (Eq.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 1 (One.toOfNat1.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
+Case conversion may be inaccurate. Consider using '#align zmod.eq_one_iff_odd ZMod.eq_one_iff_oddₓ'. -/
 theorem eq_one_iff_odd {n : ℕ} : (n : ZMod 2) = 1 ↔ Odd n :=
   by
   rw [← @Nat.cast_one (ZMod 2), ZMod.eq_iff_modEq_nat, Nat.odd_iff, Nat.ModEq]
   norm_num
 #align zmod.eq_one_iff_odd ZMod.eq_one_iff_odd
 
+/- warning: zmod.ne_zero_iff_odd -> ZMod.ne_zero_iff_odd is a dubious translation:
+lean 3 declaration is
+  forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (HasLiftT.mk.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (CoeTCₓ.coe.{1, 1} Nat (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Nat.castCoe.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddMonoidWithOne.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (AddGroupWithOne.toAddMonoidWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (NonAssocRing.toAddGroupWithOne.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (ZMod.field (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) Nat.fact_prime_two)))))))))) n) (OfNat.ofNat.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (OfNat.mk.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 0 (Zero.zero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (MulZeroClass.toHasZero.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocSemiring.toMulZeroClass.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (NonAssocRing.toNonUnitalNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Ring.toNonAssocRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (DivisionRing.toRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Field.toDivisionRing.{0} (ZMod (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (ZMod.field (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) Nat.fact_prime_two)))))))))))) (Odd.{0} Nat Nat.semiring n)
+but is expected to have type
+  forall {n : Nat}, Iff (Ne.{1} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Nat.cast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (NonAssocRing.toNatCast.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Ring.toNonAssocRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (DivisionRing.toRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toDivisionRing.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two))))) n) (OfNat.ofNat.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 0 (Zero.toOfNat0.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommMonoidWithZero.toZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (CommGroupWithZero.toCommMonoidWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Semifield.toCommGroupWithZero.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Field.toSemifield.{0} (ZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (ZMod.instFieldZMod (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) Nat.fact_prime_two)))))))) (Odd.{0} Nat Nat.semiring n)
+Case conversion may be inaccurate. Consider using '#align zmod.ne_zero_iff_odd ZMod.ne_zero_iff_oddₓ'. -/
 theorem ne_zero_iff_odd {n : ℕ} : (n : ZMod 2) ≠ 0 ↔ Odd n := by
   constructor <;>
     · contrapose

Changes in mathlib4

mathlib3
mathlib4
chore: move Mathlib to v4.7.0-rc1 (#11162)

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

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

Diff
@@ -27,7 +27,6 @@ theorem eq_zero_iff_even {n : ℕ} : (n : ZMod 2) = 0 ↔ Even n :=
 
 theorem eq_one_iff_odd {n : ℕ} : (n : ZMod 2) = 1 ↔ Odd n := by
   rw [← @Nat.cast_one (ZMod 2), ZMod.eq_iff_modEq_nat, Nat.odd_iff, Nat.ModEq]
-  norm_num
 #align zmod.eq_one_iff_odd ZMod.eq_one_iff_odd
 
 theorem ne_zero_iff_odd {n : ℕ} : (n : ZMod 2) ≠ 0 ↔ Odd n := by
@@ -37,4 +36,3 @@ theorem ne_zero_iff_odd {n : ℕ} : (n : ZMod 2) ≠ 0 ↔ Odd n := by
 #align zmod.ne_zero_iff_odd ZMod.ne_zero_iff_odd
 
 end ZMod
-
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Kyle Miller. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kyle Miller
-
-! This file was ported from Lean 3 source module data.zmod.parity
-! leanprover-community/mathlib commit 048240e809f04e2bde02482ab44bc230744cc6c9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Nat.Parity
 import Mathlib.Data.ZMod.Basic
 
+#align_import data.zmod.parity from "leanprover-community/mathlib"@"048240e809f04e2bde02482ab44bc230744cc6c9"
+
 /-!
 # Relating parity to natural numbers mod 2
 
feat: Port Data.ZMod.Parity (#2893)

Comments change only.

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

Dependencies 8 + 480

481 files ported (98.4%)
198143 lines ported (98.5%)
Show graph

The unported dependencies are