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7 changes: 4 additions & 3 deletions Mathlib/Algebra/Group/Pi/Basic.lean
Original file line number Diff line number Diff line change
Expand Up @@ -10,6 +10,7 @@ public import Mathlib.Algebra.Notation.Pi.Basic
public import Mathlib.Data.Sum.Basic
public import Mathlib.Logic.Unique
public import Mathlib.Tactic.Spread
import Mathlib.Tactic.FastInstance

/-!
# Instances and theorems on pi types
Expand Down Expand Up @@ -61,15 +62,15 @@ instance invOneClass [∀ i, InvOneClass (f i)] : InvOneClass (∀ i, f i) where
inv_one := by ext; exact inv_one

@[to_additive]
instance monoid [∀ i, Monoid (f i)] : Monoid (∀ i, f i) where
instance monoid [∀ i, Monoid (f i)] : Monoid (∀ i, f i) := fast_instance% {
__ := semigroup
__ := mulOneClass
npow := fun n x i => x i ^ n
npow_zero := by intros; ext; exact Monoid.npow_zero _
npow_succ := by intros; ext; exact Monoid.npow_succ _ _
npow_succ := by intros; ext; exact Monoid.npow_succ _ _ }

@[to_additive]
instance commMonoid [∀ i, CommMonoid (f i)] : CommMonoid (∀ i, f i) :=
instance commMonoid [∀ i, CommMonoid (f i)] : CommMonoid (∀ i, f i) := fast_instance%
{ monoid, commSemigroup with }

@[to_additive Pi.subNegMonoid]
Expand Down
3 changes: 2 additions & 1 deletion Mathlib/Algebra/Group/TypeTags/Basic.lean
Original file line number Diff line number Diff line change
Expand Up @@ -10,6 +10,7 @@ public import Mathlib.Algebra.Notation.Pi.Basic
public import Mathlib.Data.FunLike.Basic
public import Mathlib.Logic.Function.Iterate
public import Mathlib.Logic.Equiv.Defs
import Mathlib.Tactic.FastInstance

/-!
# Type tags that turn additive structures into multiplicative, and vice versa
Expand Down Expand Up @@ -267,7 +268,7 @@ instance Additive.addMonoid [h : Monoid α] : AddMonoid (Additive α) :=
nsmul_zero := @Monoid.npow_zero α h
nsmul_succ := @Monoid.npow_succ α h }

instance Multiplicative.monoid [h : AddMonoid α] : Monoid (Multiplicative α) :=
instance Multiplicative.monoid [h : AddMonoid α] : Monoid (Multiplicative α) := fast_instance%
{ Multiplicative.mulOneClass, Multiplicative.semigroup with
npow := @AddMonoid.nsmul α h
npow_zero := @AddMonoid.nsmul_zero α h
Expand Down
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