control.uliftable
⟷
Mathlib.Control.ULiftable
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.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -44,7 +44,7 @@ universe u₀ u₁ v₀ v₁ v₂ w w₀ w₁
variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type _}
#print ULiftable /-
-/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:400:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
/-- Given a universe polymorphic type family `M.{u} : Type u₁ → Type
u₂`, this class convert between instantiations, from
`M.{u} : Type u₁ → Type u₂` to `M.{v} : Type v₁ → Type v₂` and back -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -44,7 +44,7 @@ universe u₀ u₁ v₀ v₁ v₂ w w₀ w₁
variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type _}
#print ULiftable /-
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
/-- Given a universe polymorphic type family `M.{u} : Type u₁ → Type
u₂`, this class convert between instantiations, from
`M.{u} : Type u₁ → Type u₂` to `M.{v} : Type v₁ → Type v₂` and back -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,11 +3,11 @@ Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
-import Mathbin.Control.Monad.Basic
-import Mathbin.Control.Monad.Cont
-import Mathbin.Control.Monad.Writer
-import Mathbin.Logic.Equiv.Basic
-import Mathbin.Tactic.Interactive
+import Control.Monad.Basic
+import Control.Monad.Cont
+import Control.Monad.Writer
+import Logic.Equiv.Basic
+import Tactic.Interactive
#align_import control.uliftable from "leanprover-community/mathlib"@"1b089e3bdc3ce6b39cd472543474a0a137128c6c"
@@ -44,7 +44,7 @@ universe u₀ u₁ v₀ v₁ v₂ w w₀ w₁
variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type _}
#print ULiftable /-
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
/-- Given a universe polymorphic type family `M.{u} : Type u₁ → Type
u₂`, this class convert between instantiations, from
`M.{u} : Type u₁ → Type u₂` to `M.{v} : Type v₁ → Type v₂` and back -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,11 +2,6 @@
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-
-! This file was ported from Lean 3 source module control.uliftable
-! leanprover-community/mathlib commit 1b089e3bdc3ce6b39cd472543474a0a137128c6c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Control.Monad.Basic
import Mathbin.Control.Monad.Cont
@@ -14,6 +9,8 @@ import Mathbin.Control.Monad.Writer
import Mathbin.Logic.Equiv.Basic
import Mathbin.Tactic.Interactive
+#align_import control.uliftable from "leanprover-community/mathlib"@"1b089e3bdc3ce6b39cd472543474a0a137128c6c"
+
/-!
# Universe lifting for type families
mathlib commit https://github.com/leanprover-community/mathlib/commit/d30d31261cdb4d2f5e612eabc3c4bf45556350d5
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
! This file was ported from Lean 3 source module control.uliftable
-! leanprover-community/mathlib commit cc8c90d4ac61725a8f6c92691d8abcd2dec88115
+! leanprover-community/mathlib commit 1b089e3bdc3ce6b39cd472543474a0a137128c6c
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -17,6 +17,9 @@ import Mathbin.Tactic.Interactive
/-!
# Universe lifting for type families
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
Some functors such as `option` and `list` are universe polymorphic. Unlike
type polymorphism where `option α` is a function application and reasoning and
generalizations that apply to functions can be used, `option.{u}` and `option.{v}`
mathlib commit https://github.com/leanprover-community/mathlib/commit/f2ad3645af9effcdb587637dc28a6074edc813f9
@@ -43,107 +43,127 @@ universe u₀ u₁ v₀ v₁ v₂ w w₀ w₁
variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type _}
+#print ULiftable /-
/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
/-- Given a universe polymorphic type family `M.{u} : Type u₁ → Type
u₂`, this class convert between instantiations, from
`M.{u} : Type u₁ → Type u₂` to `M.{v} : Type v₁ → Type v₂` and back -/
-class Uliftable (f : Type u₀ → Type u₁) (g : Type v₀ → Type v₁) where
+class ULiftable (f : Type u₀ → Type u₁) (g : Type v₀ → Type v₁) where
congr {α β} : α ≃ β → f α ≃ g β
-#align uliftable Uliftable
+#align uliftable ULiftable
+-/
-namespace Uliftable
+namespace ULiftable
+#print ULiftable.up /-
/-- The most common practical use `uliftable` (together with `up`), this function takes
`x : M.{u} α` and lifts it to M.{max u v} (ulift.{v} α) -/
@[reducible]
-def up {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [Uliftable f g] {α} :
+def up {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α} :
f α → g (ULift α) :=
- (Uliftable.congr f g Equiv.ulift.symm).toFun
-#align uliftable.up Uliftable.up
+ (ULiftable.congr f g Equiv.ulift.symm).toFun
+#align uliftable.up ULiftable.up
+-/
+#print ULiftable.down /-
/-- The most common practical use of `uliftable` (together with `up`), this function takes
`x : M.{max u v} (ulift.{v} α)` and lowers it to `M.{u} α` -/
@[reducible]
-def down {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [Uliftable f g] {α} :
+def down {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α} :
g (ULift α) → f α :=
- (Uliftable.congr f g Equiv.ulift.symm).invFun
-#align uliftable.down Uliftable.down
+ (ULiftable.congr f g Equiv.ulift.symm).invFun
+#align uliftable.down ULiftable.down
+-/
+#print ULiftable.adaptUp /-
/-- convenient shortcut to avoid manipulating `ulift` -/
-def adaptUp (F : Type v₀ → Type v₁) (G : Type max v₀ u₀ → Type u₁) [Uliftable F G] [Monad G] {α β}
+def adaptUp (F : Type v₀ → Type v₁) (G : Type max v₀ u₀ → Type u₁) [ULiftable F G] [Monad G] {α β}
(x : F α) (f : α → G β) : G β :=
up x >>= f ∘ ULift.down
-#align uliftable.adapt_up Uliftable.adaptUp
+#align uliftable.adapt_up ULiftable.adaptUp
+-/
+#print ULiftable.adaptDown /-
/-- convenient shortcut to avoid manipulating `ulift` -/
-def adaptDown {F : Type max u₀ v₀ → Type u₁} {G : Type v₀ → Type v₁} [L : Uliftable G F] [Monad F]
+def adaptDown {F : Type max u₀ v₀ → Type u₁} {G : Type v₀ → Type v₁} [L : ULiftable G F] [Monad F]
{α β} (x : F α) (f : α → G β) : G β :=
@down.{v₀, v₁, max u₀ v₀} G F L β <| x >>= @up.{v₀, v₁, max u₀ v₀} G F L β ∘ f
-#align uliftable.adapt_down Uliftable.adaptDown
+#align uliftable.adapt_down ULiftable.adaptDown
+-/
+#print ULiftable.upMap /-
/-- map function that moves up universes -/
-def upMap {F : Type u₀ → Type u₁} {G : Type max u₀ v₀ → Type v₁} [inst : Uliftable F G] [Functor G]
+def upMap {F : Type u₀ → Type u₁} {G : Type max u₀ v₀ → Type v₁} [inst : ULiftable F G] [Functor G]
{α β} (f : α → β) (x : F α) : G β :=
Functor.map (f ∘ ULift.down) (up x)
-#align uliftable.up_map Uliftable.upMap
+#align uliftable.up_map ULiftable.upMap
+-/
+#print ULiftable.downMap /-
/-- map function that moves down universes -/
-def downMap {F : Type max u₀ v₀ → Type u₁} {G : Type u₀ → Type v₁} [inst : Uliftable G F]
+def downMap {F : Type max u₀ v₀ → Type u₁} {G : Type u₀ → Type v₁} [inst : ULiftable G F]
[Functor F] {α β} (f : α → β) (x : F α) : G β :=
down (Functor.map (ULift.up ∘ f) x : F (ULift β))
-#align uliftable.down_map Uliftable.downMap
+#align uliftable.down_map ULiftable.downMap
+-/
+#print ULiftable.up_down /-
@[simp]
-theorem up_down {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [Uliftable f g] {α}
+theorem up_down {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α}
(x : g (ULift α)) : up (down x : f α) = x :=
- (Uliftable.congr f g Equiv.ulift.symm).right_inv _
-#align uliftable.up_down Uliftable.up_down
+ (ULiftable.congr f g Equiv.ulift.symm).right_inv _
+#align uliftable.up_down ULiftable.up_down
+-/
+#print ULiftable.down_up /-
@[simp]
-theorem down_up {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [Uliftable f g] {α}
+theorem down_up {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α}
(x : f α) : down (up x : g _) = x :=
- (Uliftable.congr f g Equiv.ulift.symm).left_inv _
-#align uliftable.down_up Uliftable.down_up
+ (ULiftable.congr f g Equiv.ulift.symm).left_inv _
+#align uliftable.down_up ULiftable.down_up
+-/
-end Uliftable
+end ULiftable
open ULift
-instance : Uliftable id id where congr α β F := F
+instance : ULiftable id id where congr α β F := F
/-- for specific state types, this function helps to create a uliftable instance -/
-def StateT.uliftable' {m : Type u₀ → Type v₀} {m' : Type u₁ → Type v₁} [Uliftable m m']
- (F : s ≃ s') : Uliftable (StateT s m) (StateT s' m')
+def StateT.uliftable' {m : Type u₀ → Type v₀} {m' : Type u₁ → Type v₁} [ULiftable m m']
+ (F : s ≃ s') : ULiftable (StateT s m) (StateT s' m')
where congr α β G :=
- StateT.equiv <| Equiv.piCongr F fun _ => Uliftable.congr _ _ <| Equiv.prodCongr G F
+ StateT.equiv <| Equiv.piCongr F fun _ => ULiftable.congr _ _ <| Equiv.prodCongr G F
#align state_t.uliftable' StateTₓ.uliftable'
-instance {m m'} [Uliftable m m'] : Uliftable (StateT s m) (StateT (ULift s) m') :=
+instance {m m'} [ULiftable m m'] : ULiftable (StateT s m) (StateT (ULift s) m') :=
StateT.uliftable' Equiv.ulift.symm
/-- for specific reader monads, this function helps to create a uliftable instance -/
-def ReaderT.uliftable' {m m'} [Uliftable m m'] (F : s ≃ s') :
- Uliftable (ReaderT s m) (ReaderT s' m')
- where congr α β G := ReaderT.equiv <| Equiv.piCongr F fun _ => Uliftable.congr _ _ G
+def ReaderT.uliftable' {m m'} [ULiftable m m'] (F : s ≃ s') :
+ ULiftable (ReaderT s m) (ReaderT s' m')
+ where congr α β G := ReaderT.equiv <| Equiv.piCongr F fun _ => ULiftable.congr _ _ G
#align reader_t.uliftable' ReaderTₓ.uliftable'
-instance {m m'} [Uliftable m m'] : Uliftable (ReaderT s m) (ReaderT (ULift s) m') :=
+instance {m m'} [ULiftable m m'] : ULiftable (ReaderT s m) (ReaderT (ULift s) m') :=
ReaderT.uliftable' Equiv.ulift.symm
+#print ContT.uliftable' /-
/-- for specific continuation passing monads, this function helps to create a uliftable instance -/
-def ContT.uliftable' {m m'} [Uliftable m m'] (F : r ≃ r') : Uliftable (ContT r m) (ContT r' m')
- where congr α β := ContT.equiv (Uliftable.congr _ _ F)
+def ContT.uliftable' {m m'} [ULiftable m m'] (F : r ≃ r') : ULiftable (ContT r m) (ContT r' m')
+ where congr α β := ContT.equiv (ULiftable.congr _ _ F)
#align cont_t.uliftable' ContT.uliftable'
+-/
-instance {s m m'} [Uliftable m m'] : Uliftable (ContT s m) (ContT (ULift s) m') :=
+instance {s m m'} [ULiftable m m'] : ULiftable (ContT s m) (ContT (ULift s) m') :=
ContT.uliftable' Equiv.ulift.symm
/-- for specific writer monads, this function helps to create a uliftable instance -/
-def WriterT.uliftable' {m m'} [Uliftable m m'] (F : w ≃ w') :
- Uliftable (WriterT w m) (WriterT w' m')
- where congr α β G := WriterT.equiv <| Uliftable.congr _ _ <| Equiv.prodCongr G F
+def WriterT.uliftable' {m m'} [ULiftable m m'] (F : w ≃ w') :
+ ULiftable (WriterT w m) (WriterT w' m')
+ where congr α β G := WriterT.equiv <| ULiftable.congr _ _ <| Equiv.prodCongr G F
#align writer_t.uliftable' WriterTₓ.uliftable'
-instance {m m'} [Uliftable m m'] : Uliftable (WriterT s m) (WriterT (ULift s) m') :=
+instance {m m'} [ULiftable m m'] : ULiftable (WriterT s m) (WriterT (ULift s) m') :=
WriterT.uliftable' Equiv.ulift.symm
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -43,7 +43,7 @@ universe u₀ u₁ v₀ v₁ v₂ w w₀ w₁
variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type _}
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
/-- Given a universe polymorphic type family `M.{u} : Type u₁ → Type
u₂`, this class convert between instantiations, from
`M.{u} : Type u₁ → Type u₂` to `M.{v} : Type v₁ → Type v₂` and back -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297
@@ -43,7 +43,7 @@ universe u₀ u₁ v₀ v₁ v₂ w w₀ w₁
variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type _}
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
/-- Given a universe polymorphic type family `M.{u} : Type u₁ → Type
u₂`, this class convert between instantiations, from
`M.{u} : Type u₁ → Type u₂` to `M.{v} : Type v₁ → Type v₂` and back -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c
@@ -43,7 +43,7 @@ universe u₀ u₁ v₀ v₁ v₂ w w₀ w₁
variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type _}
-/- ./././Mathport/Syntax/Translate/Command.lean:388:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`congr] [] -/
/-- Given a universe polymorphic type family `M.{u} : Type u₁ → Type
u₂`, this class convert between instantiations, from
`M.{u} : Type u₁ → Type u₂` to `M.{v} : Type v₁ → Type v₂` and back -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -104,13 +104,13 @@ def downMap {F : Type max u₀ v₀ → Type u₁} {G : Type u₀ → Type v₁}
down (Functor.map (ULift.up.{v₀} ∘ f) x : F (ULift β))
#align uliftable.down_map ULiftable.downMap
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
theorem up_down {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α}
(x : g (ULift.{v₀} α)) : up (down x : f α) = x :=
(ULiftable.congr Equiv.ulift.symm).right_inv _
#align uliftable.up_down ULiftable.up_down
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
theorem down_up {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α}
(x : f α) : down (up x : g (ULift.{v₀} α)) = x :=
(ULiftable.congr Equiv.ulift.symm).left_inv _
outParam
and adjust universe orders (#8849)
The most useful universe argument to up
and down
(the one in the ULift
type) is now first.
Combined with the outParam
, this makes using ULiftable.up
more ergonomic downstream, removing a handful of type annotations.
@@ -37,20 +37,26 @@ universe polymorphism functor
-/
-universe u₀ u₁ v₀ v₁ v₂ w w₀ w₁
+universe v u₀ u₁ v₀ v₁ v₂ w w₀ w₁
variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type*}
/-- Given a universe polymorphic type family `M.{u} : Type u₁ → Type
u₂`, this class convert between instantiations, from
-`M.{u} : Type u₁ → Type u₂` to `M.{v} : Type v₁ → Type v₂` and back -/
-class ULiftable (f : Type u₀ → Type u₁) (g : Type v₀ → Type v₁) where
+`M.{u} : Type u₁ → Type u₂` to `M.{v} : Type v₁ → Type v₂` and back.
+
+`f` is an outParam, because `g` can almost always be inferred from the current monad.
+At any rate, the lift should be unique, as the intent is to only lift the same constants with
+different universe parameters. -/
+class ULiftable (f : outParam (Type u₀ → Type u₁)) (g : Type v₀ → Type v₁) where
congr {α β} : α ≃ β → f α ≃ g β
#align uliftable ULiftable
namespace ULiftable
-instance symm (f : Type u₀ → Type u₁) (g : Type v₀ → Type v₁) [ULiftable f g] : ULiftable g f where
+/-- Not an instance as it is incompatible with `outParam`. In practice it seems not to be needed
+anyway. -/
+abbrev symm (f : Type u₀ → Type u₁) (g : Type v₀ → Type v₁) [ULiftable f g] : ULiftable g f where
congr e := (ULiftable.congr e.symm).symm
instance refl (f : Type u₀ → Type u₁) [Functor f] [LawfulFunctor f] : ULiftable f f where
@@ -58,19 +64,19 @@ instance refl (f : Type u₀ → Type u₁) [Functor f] [LawfulFunctor f] : ULif
example : ULiftable IO IO := inferInstance
-/-- The most common practical use `ULiftable` (together with `down`), this function takes
+/-- The most common practical use `ULiftable` (together with `down`), the function `up.{v}` takes
`x : M.{u} α` and lifts it to `M.{max u v} (ULift.{v} α)` -/
@[reducible]
-def up {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α} :
- f α → g (ULift.{v₀} α) :=
+def up {f : Type u₀ → Type u₁} {g : Type max u₀ v → Type v₁} [ULiftable f g] {α} :
+ f α → g (ULift.{v} α) :=
(ULiftable.congr Equiv.ulift.symm).toFun
#align uliftable.up ULiftable.up
-/-- The most common practical use of `ULiftable` (together with `up`), this function takes
+/-- The most common practical use of `ULiftable` (together with `up`), the function `down.{v}` takes
`x : M.{max u v} (ULift.{v} α)` and lowers it to `M.{u} α` -/
@[reducible]
-def down {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α} :
- g (ULift.{v₀} α) → f α :=
+def down {f : Type u₀ → Type u₁} {g : Type max u₀ v → Type v₁} [ULiftable f g] {α} :
+ g (ULift.{v} α) → f α :=
(ULiftable.congr Equiv.ulift.symm).invFun
#align uliftable.down ULiftable.down
@@ -83,7 +89,7 @@ def adaptUp (F : Type v₀ → Type v₁) (G : Type max v₀ u₀ → Type u₁)
/-- convenient shortcut to avoid manipulating `ULift` -/
def adaptDown {F : Type max u₀ v₀ → Type u₁} {G : Type v₀ → Type v₁} [L : ULiftable G F] [Monad F]
{α β} (x : F α) (f : α → G β) : G β :=
- @down.{v₀, v₁, max u₀ v₀} G F L β <| x >>= @up.{v₀, v₁, max u₀ v₀} G F L β ∘ f
+ @down.{max u₀ v₀} G F L β <| x >>= @up.{max u₀ v₀} G F L β ∘ f
#align uliftable.adapt_down ULiftable.adaptDown
/-- map function that moves up universes -/
The motivation is to provide a no-op ULiftable IO IO
instance; otherwise APIs developed in terms of universe polymorphic monads can't be used with IO
, even if specialized to a single universe.
@@ -7,6 +7,8 @@ import Mathlib.Control.Monad.Basic
import Mathlib.Control.Monad.Cont
import Mathlib.Control.Monad.Writer
import Mathlib.Logic.Equiv.Basic
+import Mathlib.Logic.Equiv.Functor
+import Mathlib.Init.Control.Lawful
#align_import control.uliftable from "leanprover-community/mathlib"@"cc8c90d4ac61725a8f6c92691d8abcd2dec88115"
@@ -51,6 +53,11 @@ namespace ULiftable
instance symm (f : Type u₀ → Type u₁) (g : Type v₀ → Type v₁) [ULiftable f g] : ULiftable g f where
congr e := (ULiftable.congr e.symm).symm
+instance refl (f : Type u₀ → Type u₁) [Functor f] [LawfulFunctor f] : ULiftable f f where
+ congr e := Functor.mapEquiv _ e
+
+example : ULiftable IO IO := inferInstance
+
/-- The most common practical use `ULiftable` (together with `down`), this function takes
`x : M.{u} α` and lifts it to `M.{max u v} (ULift.{v} α)` -/
@[reducible]
@@ -48,6 +48,9 @@ class ULiftable (f : Type u₀ → Type u₁) (g : Type v₀ → Type v₁) wher
namespace ULiftable
+instance symm (f : Type u₀ → Type u₁) (g : Type v₀ → Type v₁) [ULiftable f g] : ULiftable g f where
+ congr e := (ULiftable.congr e.symm).symm
+
/-- The most common practical use `ULiftable` (together with `down`), this function takes
`x : M.{u} α` and lifts it to `M.{max u v} (ULift.{v} α)` -/
@[reducible]
@@ -160,3 +163,17 @@ instance {m m'} [ULiftable m m'] : ULiftable (WriterT s m) (WriterT (ULift s) m'
instance WriterT.instULiftableULiftULift {m m'} [ULiftable m m'] :
ULiftable (WriterT (ULift.{max v₀ u₀} s) m) (WriterT (ULift.{max v₁ u₀} s) m') :=
WriterT.uliftable' <| Equiv.ulift.trans Equiv.ulift.symm
+
+instance Except.instULiftable {ε : Type u₀} : ULiftable (Except.{u₀,v₁} ε) (Except.{u₀,v₂} ε) where
+ congr e :=
+ { toFun := Except.map e
+ invFun := Except.map e.symm
+ left_inv := fun f => by cases f <;> simp [Except.map]
+ right_inv := fun f => by cases f <;> simp [Except.map] }
+
+instance Option.instULiftable : ULiftable Option.{u₀} Option.{u₁} where
+ congr e :=
+ { toFun := Option.map e
+ invFun := Option.map e.symm
+ left_inv := fun f => by cases f <;> simp
+ right_inv := fun f => by cases f <;> simp }
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -37,7 +37,7 @@ universe polymorphism functor
universe u₀ u₁ v₀ v₁ v₂ w w₀ w₁
-variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type _}
+variable {s : Type u₀} {s' : Type u₁} {r r' w w' : Type*}
/-- Given a universe polymorphic type family `M.{u} : Type u₁ → Type
u₂`, this class convert between instantiations, from
@@ -48,7 +48,7 @@ class ULiftable (f : Type u₀ → Type u₁) (g : Type v₀ → Type v₁) wher
namespace ULiftable
-/-- The most common practical use `ULiftable` (together with `up`), this function takes
+/-- The most common practical use `ULiftable` (together with `down`), this function takes
`x : M.{u} α` and lifts it to `M.{max u v} (ULift.{v} α)` -/
@[reducible]
def up {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α} :
@@ -57,7 +57,7 @@ def up {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULi
#align uliftable.up ULiftable.up
/-- The most common practical use of `ULiftable` (together with `up`), this function takes
-`x : M.{max u v} (ulift.{v} α)` and lowers it to `M.{u} α` -/
+`x : M.{max u v} (ULift.{v} α)` and lowers it to `M.{u} α` -/
@[reducible]
def down {f : Type u₀ → Type u₁} {g : Type max u₀ v₀ → Type v₁} [ULiftable f g] {α} :
g (ULift.{v₀} α) → f α :=
@@ -2,17 +2,14 @@
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-
-! This file was ported from Lean 3 source module control.uliftable
-! leanprover-community/mathlib commit cc8c90d4ac61725a8f6c92691d8abcd2dec88115
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Control.Monad.Basic
import Mathlib.Control.Monad.Cont
import Mathlib.Control.Monad.Writer
import Mathlib.Logic.Equiv.Basic
+#align_import control.uliftable from "leanprover-community/mathlib"@"cc8c90d4ac61725a8f6c92691d8abcd2dec88115"
+
/-!
# Universe lifting for type families
The use of auto-implicits was introducing a universe metavariable where we wanted a free variable.
The new ULiftable
instances handle the common case of a universe polymorphic monad with a universe-lifted state from Type
.
@@ -107,8 +107,9 @@ end ULiftable
open ULift
-instance : ULiftable id id where
+instance instULiftableId : ULiftable Id Id where
congr F := F
+#align id.uliftable instULiftableId
/-- for specific state types, this function helps to create a uliftable instance -/
def StateT.uliftable' {m : Type u₀ → Type v₀} {m' : Type u₁ → Type v₁} [ULiftable m m']
@@ -120,6 +121,10 @@ def StateT.uliftable' {m : Type u₀ → Type v₀} {m' : Type u₁ → Type v
instance {m m'} [ULiftable m m'] : ULiftable (StateT s m) (StateT (ULift s) m') :=
StateT.uliftable' Equiv.ulift.symm
+instance StateT.instULiftableULiftULift {m m'} [ULiftable m m'] :
+ ULiftable (StateT (ULift.{max v₀ u₀} s) m) (StateT (ULift.{max v₁ u₀} s) m') :=
+ StateT.uliftable' <| Equiv.ulift.trans Equiv.ulift.symm
+
/-- for specific reader monads, this function helps to create a uliftable instance -/
def ReaderT.uliftable' {m m'} [ULiftable m m'] (F : s ≃ s') :
ULiftable (ReaderT s m) (ReaderT s' m') where
@@ -129,6 +134,10 @@ def ReaderT.uliftable' {m m'} [ULiftable m m'] (F : s ≃ s') :
instance {m m'} [ULiftable m m'] : ULiftable (ReaderT s m) (ReaderT (ULift s) m') :=
ReaderT.uliftable' Equiv.ulift.symm
+instance ReaderT.instULiftableULiftULift {m m'} [ULiftable m m'] :
+ ULiftable (ReaderT (ULift.{max v₀ u₀} s) m) (ReaderT (ULift.{max v₁ u₀} s) m') :=
+ ReaderT.uliftable' <| Equiv.ulift.trans Equiv.ulift.symm
+
/-- for specific continuation passing monads, this function helps to create a uliftable instance -/
def ContT.uliftable' {m m'} [ULiftable m m'] (F : r ≃ r') :
ULiftable (ContT r m) (ContT r' m') where
@@ -138,6 +147,10 @@ def ContT.uliftable' {m m'} [ULiftable m m'] (F : r ≃ r') :
instance {s m m'} [ULiftable m m'] : ULiftable (ContT s m) (ContT (ULift s) m') :=
ContT.uliftable' Equiv.ulift.symm
+instance ContT.instULiftableULiftULift {m m'} [ULiftable m m'] :
+ ULiftable (ContT (ULift.{max v₀ u₀} s) m) (ContT (ULift.{max v₁ u₀} s) m') :=
+ ContT.uliftable' <| Equiv.ulift.trans Equiv.ulift.symm
+
/-- for specific writer monads, this function helps to create a uliftable instance -/
def WriterT.uliftable' {m m'} [ULiftable m m'] (F : w ≃ w') :
ULiftable (WriterT w m) (WriterT w' m') where
@@ -146,3 +159,7 @@ def WriterT.uliftable' {m m'} [ULiftable m m'] (F : w ≃ w') :
instance {m m'} [ULiftable m m'] : ULiftable (WriterT s m) (WriterT (ULift s) m') :=
WriterT.uliftable' Equiv.ulift.symm
+
+instance WriterT.instULiftableULiftULift {m m'} [ULiftable m m'] :
+ ULiftable (WriterT (ULift.{max v₀ u₀} s) m) (WriterT (ULift.{max v₁ u₀} s) m') :=
+ WriterT.uliftable' <| Equiv.ulift.trans Equiv.ulift.symm
All dependencies are ported!