control.monad.cont
⟷
Mathlib.Control.Monad.Cont
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/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -7,8 +7,8 @@ Monad encapsulating continuation passing programming style, similar to
Haskell's `Cont`, `ContT` and `MonadCont`:
<http://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Cont.html>
-/
-import Mathbin.Control.Monad.Basic
-import Mathbin.Control.Monad.Writer
+import Control.Monad.Basic
+import Control.Monad.Writer
#align_import control.monad.cont from "leanprover-community/mathlib"@"d6814c584384ddf2825ff038e868451a7c956f31"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -6,15 +6,12 @@ Authors: Simon Hudon
Monad encapsulating continuation passing programming style, similar to
Haskell's `Cont`, `ContT` and `MonadCont`:
<http://hackage.haskell.org/package/mtl-2.2.2/docs/Control-Monad-Cont.html>
-
-! This file was ported from Lean 3 source module control.monad.cont
-! leanprover-community/mathlib commit d6814c584384ddf2825ff038e868451a7c956f31
-! 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.Writer
+#align_import control.monad.cont from "leanprover-community/mathlib"@"d6814c584384ddf2825ff038e868451a7c956f31"
+
universe u v w u₀ u₁ v₀ v₁
#print MonadCont.Label /-
mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303
@@ -17,38 +17,50 @@ import Mathbin.Control.Monad.Writer
universe u v w u₀ u₁ v₀ v₁
+#print MonadCont.Label /-
structure MonadCont.Label (α : Type w) (m : Type u → Type v) (β : Type u) where
apply : α → m β
#align monad_cont.label MonadCont.Label
+-/
+#print MonadCont.goto /-
def MonadCont.goto {α β} {m : Type u → Type v} (f : MonadCont.Label α m β) (x : α) :=
f.apply x
#align monad_cont.goto MonadCont.goto
+-/
+#print MonadCont /-
class MonadCont (m : Type u → Type v) where
callCc : ∀ {α β}, (MonadCont.Label α m β → m α) → m α
#align monad_cont MonadCont
+-/
open MonadCont
-class IsLawfulMonadCont (m : Type u → Type v) [Monad m] [MonadCont m] extends LawfulMonad m where
+#print LawfulMonadCont /-
+class LawfulMonadCont (m : Type u → Type v) [Monad m] [MonadCont m] extends LawfulMonad m where
callCc_bind_right {α ω γ} (cmd : m α) (next : Label ω m γ → α → m ω) :
(callCc fun f => cmd >>= next f) = cmd >>= fun x => callCc fun f => next f x
callCc_bind_left {α} (β) (x : α) (dead : Label α m β → β → m α) :
(callCc fun f : Label α m β => goto f x >>= dead f) = pure x
callCc_dummy {α β} (dummy : m α) : (callCc fun f : Label α m β => dummy) = dummy
-#align is_lawful_monad_cont IsLawfulMonadCont
+#align is_lawful_monad_cont LawfulMonadCont
+-/
-export IsLawfulMonadCont ()
+export LawfulMonadCont ()
+#print ContT /-
def ContT (r : Type u) (m : Type u → Type v) (α : Type w) :=
(α → m r) → m r
#align cont_t ContT
+-/
+#print Cont /-
@[reducible]
def Cont (r : Type u) (α : Type w) :=
ContT r id α
#align cont Cont
+-/
namespace ContT
@@ -56,29 +68,41 @@ export MonadCont (Label goto)
variable {r : Type u} {m : Type u → Type v} {α β γ ω : Type w}
+#print ContT.run /-
def run : ContT r m α → (α → m r) → m r :=
id
#align cont_t.run ContT.run
+-/
+#print ContT.map /-
def map (f : m r → m r) (x : ContT r m α) : ContT r m α :=
f ∘ x
#align cont_t.map ContT.map
+-/
+#print ContT.run_contT_map_contT /-
theorem run_contT_map_contT (f : m r → m r) (x : ContT r m α) : run (map f x) = f ∘ run x :=
rfl
#align cont_t.run_cont_t_map_cont_t ContT.run_contT_map_contT
+-/
+#print ContT.withContT /-
def withContT (f : (β → m r) → α → m r) (x : ContT r m α) : ContT r m β := fun g => x <| f g
#align cont_t.with_cont_t ContT.withContT
+-/
+#print ContT.run_withContT /-
theorem run_withContT (f : (β → m r) → α → m r) (x : ContT r m α) :
run (withContT f x) = run x ∘ f :=
rfl
#align cont_t.run_with_cont_t ContT.run_withContT
+-/
+#print ContT.ext /-
@[ext]
protected theorem ext {x y : ContT r m α} (h : ∀ f, x.run f = y.run f) : x = y := by ext <;> apply h
#align cont_t.ext ContT.ext
+-/
instance : Monad (ContT r m) where
pure α x f := f x
@@ -90,11 +114,14 @@ instance : LawfulMonad (ContT r m)
pure_bind := by intros; ext; rfl
bind_assoc := by intros; ext; rfl
+#print ContT.monadLift /-
def monadLift [Monad m] {α} : m α → ContT r m α := fun x f => x >>= f
#align cont_t.monad_lift ContT.monadLift
+-/
instance [Monad m] : HasMonadLift m (ContT r m) where monadLift α := ContT.monadLift
+#print ContT.monadLift_bind /-
theorem monadLift_bind [Monad m] [LawfulMonad m] {α β} (x : m α) (f : α → m β) :
(monadLift (x >>= f) : ContT r m β) = monadLift x >>= monadLift ∘ f :=
by
@@ -102,10 +129,11 @@ theorem monadLift_bind [Monad m] [LawfulMonad m] {α β} (x : m α) (f : α →
simp only [monad_lift, HasMonadLift.monadLift, (· ∘ ·), (· >>= ·), bind_assoc, id.def, run,
ContT.monadLift]
#align cont_t.monad_lift_bind ContT.monadLift_bind
+-/
instance : MonadCont (ContT r m) where callCc α β f g := f ⟨fun x h => g x⟩ g
-instance : IsLawfulMonadCont (ContT r m)
+instance : LawfulMonadCont (ContT r m)
where
callCc_bind_right := by intros <;> ext <;> rfl
callCc_bind_left := by intros <;> ext <;> rfl
@@ -131,24 +159,24 @@ theorem ExceptT.goto_mkLabel {α β ε : Type _} (x : Label (Except.{u, u} ε α
goto (ExceptT.mkLabel x) i = ⟨Except.ok <$> goto x (Except.ok i)⟩ := by cases x <;> rfl
#align except_t.goto_mk_label ExceptTₓ.goto_mkLabel
-def ExceptT.callCc {ε} [MonadCont m] {α β : Type _} (f : Label α (ExceptT ε m) β → ExceptT ε m α) :
+def ExceptT.callCC {ε} [MonadCont m] {α β : Type _} (f : Label α (ExceptT ε m) β → ExceptT ε m α) :
ExceptT ε m α :=
ExceptT.mk (callCc fun x : Label _ m β => ExceptT.run <| f (ExceptT.mkLabel x) : m (Except ε α))
-#align except_t.call_cc ExceptTₓ.callCc
+#align except_t.call_cc ExceptTₓ.callCC
-instance {ε} [MonadCont m] : MonadCont (ExceptT ε m) where callCc α β := ExceptT.callCc
+instance {ε} [MonadCont m] : MonadCont (ExceptT ε m) where callCc α β := ExceptT.callCC
-instance {ε} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (ExceptT ε m)
+instance {ε} [MonadCont m] [LawfulMonadCont m] : LawfulMonadCont (ExceptT ε m)
where
callCc_bind_right := by
- intros; simp [call_cc, ExceptT.callCc, call_cc_bind_right]; ext; dsimp
+ intros; simp [call_cc, ExceptT.callCC, call_cc_bind_right]; ext; dsimp
congr with ⟨⟩ <;> simp [ExceptT.bindCont, @call_cc_dummy m _]
callCc_bind_left := by
intros
- simp [call_cc, ExceptT.callCc, call_cc_bind_right, ExceptT.goto_mkLabel, map_eq_bind_pure_comp,
+ simp [call_cc, ExceptT.callCC, call_cc_bind_right, ExceptT.goto_mkLabel, map_eq_bind_pure_comp,
bind_assoc, @call_cc_bind_left m _]
ext; rfl
- callCc_dummy := by intros; simp [call_cc, ExceptT.callCc, @call_cc_dummy m _]; ext; rfl
+ callCc_dummy := by intros; simp [call_cc, ExceptT.callCC, @call_cc_dummy m _]; ext; rfl
def OptionT.mkLabel {α β} : Label (Option.{u} α) m β → Label α (OptionT m) β
| ⟨f⟩ => ⟨fun a => monadLift <| f (some a)⟩
@@ -158,40 +186,40 @@ theorem OptionT.goto_mkLabel {α β : Type _} (x : Label (Option.{u} α) m β) (
goto (OptionT.mkLabel x) i = ⟨some <$> goto x (some i)⟩ := by cases x <;> rfl
#align option_t.goto_mk_label OptionTₓ.goto_mkLabel
-def OptionT.callCc [MonadCont m] {α β : Type _} (f : Label α (OptionT m) β → OptionT m α) :
+def OptionT.callCC [MonadCont m] {α β : Type _} (f : Label α (OptionT m) β → OptionT m α) :
OptionT m α :=
OptionT.mk (callCc fun x : Label _ m β => OptionT.run <| f (OptionT.mkLabel x) : m (Option α))
-#align option_t.call_cc OptionTₓ.callCc
+#align option_t.call_cc OptionTₓ.callCC
-instance [MonadCont m] : MonadCont (OptionT m) where callCc α β := OptionT.callCc
+instance [MonadCont m] : MonadCont (OptionT m) where callCc α β := OptionT.callCC
-instance [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (OptionT m)
+instance [MonadCont m] [LawfulMonadCont m] : LawfulMonadCont (OptionT m)
where
callCc_bind_right := by
- intros; simp [call_cc, OptionT.callCc, call_cc_bind_right]; ext; dsimp
+ intros; simp [call_cc, OptionT.callCC, call_cc_bind_right]; ext; dsimp
congr with ⟨⟩ <;> simp [OptionT.bindCont, @call_cc_dummy m _]
callCc_bind_left := by
intros;
- simp [call_cc, OptionT.callCc, call_cc_bind_right, OptionT.goto_mkLabel, map_eq_bind_pure_comp,
+ simp [call_cc, OptionT.callCC, call_cc_bind_right, OptionT.goto_mkLabel, map_eq_bind_pure_comp,
bind_assoc, @call_cc_bind_left m _]
ext; rfl
- callCc_dummy := by intros; simp [call_cc, OptionT.callCc, @call_cc_dummy m _]; ext; rfl
+ callCc_dummy := by intros; simp [call_cc, OptionT.callCC, @call_cc_dummy m _]; ext; rfl
-def WriterT.mkLabel {α β ω} [One ω] : Label (α × ω) m β → Label α (WriterT ω m) β
+def WriterT.mkLabel' {α β ω} [One ω] : Label (α × ω) m β → Label α (WriterT ω m) β
| ⟨f⟩ => ⟨fun a => monadLift <| f (a, 1)⟩
-#align writer_t.mk_label WriterTₓ.mkLabel
+#align writer_t.mk_label WriterTₓ.mkLabel'
-theorem WriterT.goto_mkLabel {α β ω : Type _} [One ω] (x : Label (α × ω) m β) (i : α) :
- goto (WriterT.mkLabel x) i = monadLift (goto x (i, 1)) := by cases x <;> rfl
-#align writer_t.goto_mk_label WriterTₓ.goto_mkLabel
+theorem WriterT.goto_mkLabel' {α β ω : Type _} [One ω] (x : Label (α × ω) m β) (i : α) :
+ goto (WriterT.mkLabel' x) i = monadLift (goto x (i, 1)) := by cases x <;> rfl
+#align writer_t.goto_mk_label WriterTₓ.goto_mkLabel'
-def WriterT.callCc [MonadCont m] {α β ω : Type _} [One ω]
+def WriterT.callCC' [MonadCont m] {α β ω : Type _} [One ω]
(f : Label α (WriterT ω m) β → WriterT ω m α) : WriterT ω m α :=
- ⟨callCc (WriterT.run ∘ f ∘ WriterT.mkLabel : Label (α × ω) m β → m (α × ω))⟩
-#align writer_t.call_cc WriterTₓ.callCc
+ ⟨callCc (WriterT.run ∘ f ∘ WriterT.mkLabel' : Label (α × ω) m β → m (α × ω))⟩
+#align writer_t.call_cc WriterTₓ.callCC'
instance (ω) [Monad m] [One ω] [MonadCont m] : MonadCont (WriterT ω m)
- where callCc α β := WriterT.callCc
+ where callCc α β := WriterT.callCC'
def StateT.mkLabel {α β σ : Type u} : Label (α × σ) m (β × σ) → Label α (StateT σ m) β
| ⟨f⟩ => ⟨fun a => ⟨fun s => f (a, s)⟩⟩
@@ -201,26 +229,26 @@ theorem StateT.goto_mkLabel {α β σ : Type u} (x : Label (α × σ) m (β ×
goto (StateT.mkLabel x) i = ⟨fun s => goto x (i, s)⟩ := by cases x <;> rfl
#align state_t.goto_mk_label StateTₓ.goto_mkLabel
-def StateT.callCc {σ} [MonadCont m] {α β : Type _} (f : Label α (StateT σ m) β → StateT σ m α) :
+def StateT.callCC {σ} [MonadCont m] {α β : Type _} (f : Label α (StateT σ m) β → StateT σ m α) :
StateT σ m α :=
⟨fun r => callCc fun f' => (f <| StateT.mkLabel f').run r⟩
-#align state_t.call_cc StateTₓ.callCc
+#align state_t.call_cc StateTₓ.callCC
-instance {σ} [MonadCont m] : MonadCont (StateT σ m) where callCc α β := StateT.callCc
+instance {σ} [MonadCont m] : MonadCont (StateT σ m) where callCc α β := StateT.callCC
-instance {σ} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (StateT σ m)
+instance {σ} [MonadCont m] [LawfulMonadCont m] : LawfulMonadCont (StateT σ m)
where
callCc_bind_right := by
intros
- simp [call_cc, StateT.callCc, call_cc_bind_right, (· >>= ·), StateT.bind]; ext; dsimp
+ simp [call_cc, StateT.callCC, call_cc_bind_right, (· >>= ·), StateT.bind]; ext; dsimp
congr with ⟨x₀, x₁⟩; rfl
callCc_bind_left := by
intros;
- simp [call_cc, StateT.callCc, call_cc_bind_left, (· >>= ·), StateT.bind, StateT.goto_mkLabel]
+ simp [call_cc, StateT.callCC, call_cc_bind_left, (· >>= ·), StateT.bind, StateT.goto_mkLabel]
ext; rfl
callCc_dummy := by
intros;
- simp [call_cc, StateT.callCc, call_cc_bind_right, (· >>= ·), StateT.bind, @call_cc_dummy m _]
+ simp [call_cc, StateT.callCC, call_cc_bind_right, (· >>= ·), StateT.bind, @call_cc_dummy m _]
ext; rfl
def ReaderT.mkLabel {α β} (ρ) : Label α m β → Label α (ReaderT ρ m) β
@@ -231,21 +259,22 @@ theorem ReaderT.goto_mkLabel {α ρ β} (x : Label α m β) (i : α) :
goto (ReaderT.mkLabel ρ x) i = monadLift (goto x i) := by cases x <;> rfl
#align reader_t.goto_mk_label ReaderTₓ.goto_mkLabel
-def ReaderT.callCc {ε} [MonadCont m] {α β : Type _} (f : Label α (ReaderT ε m) β → ReaderT ε m α) :
+def ReaderT.callCC {ε} [MonadCont m] {α β : Type _} (f : Label α (ReaderT ε m) β → ReaderT ε m α) :
ReaderT ε m α :=
⟨fun r => callCc fun f' => (f <| ReaderT.mkLabel _ f').run r⟩
-#align reader_t.call_cc ReaderTₓ.callCc
+#align reader_t.call_cc ReaderTₓ.callCC
-instance {ρ} [MonadCont m] : MonadCont (ReaderT ρ m) where callCc α β := ReaderT.callCc
+instance {ρ} [MonadCont m] : MonadCont (ReaderT ρ m) where callCc α β := ReaderT.callCC
-instance {ρ} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (ReaderT ρ m)
+instance {ρ} [MonadCont m] [LawfulMonadCont m] : LawfulMonadCont (ReaderT ρ m)
where
- callCc_bind_right := by intros; simp [call_cc, ReaderT.callCc, call_cc_bind_right]; ext; rfl
+ callCc_bind_right := by intros; simp [call_cc, ReaderT.callCC, call_cc_bind_right]; ext; rfl
callCc_bind_left := by
- intros; simp [call_cc, ReaderT.callCc, call_cc_bind_left, ReaderT.goto_mkLabel]
+ intros; simp [call_cc, ReaderT.callCC, call_cc_bind_left, ReaderT.goto_mkLabel]
ext; rfl
- callCc_dummy := by intros; simp [call_cc, ReaderT.callCc, @call_cc_dummy m _]; ext; rfl
+ callCc_dummy := by intros; simp [call_cc, ReaderT.callCC, @call_cc_dummy m _]; ext; rfl
+#print ContT.equiv /-
/-- reduce the equivalence between two continuation passing monads to the equivalence between
their underlying monad -/
def ContT.equiv {m₁ : Type u₀ → Type v₀} {m₂ : Type u₁ → Type v₁} {α₁ r₁ : Type u₀}
@@ -256,4 +285,5 @@ def ContT.equiv {m₁ : Type u₀ → Type v₀} {m₂ : Type u₁ → Type v₁
left_inv f := by funext r <;> simp
right_inv f := by funext r <;> simp
#align cont_t.equiv ContT.equiv
+-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -86,9 +86,9 @@ instance : Monad (ContT r m) where
instance : LawfulMonad (ContT r m)
where
- id_map := by intros ; rfl
- pure_bind := by intros ; ext; rfl
- bind_assoc := by intros ; ext; rfl
+ id_map := by intros; rfl
+ pure_bind := by intros; ext; rfl
+ bind_assoc := by intros; ext; rfl
def monadLift [Monad m] {α} : m α → ContT r m α := fun x f => x >>= f
#align cont_t.monad_lift ContT.monadLift
@@ -141,14 +141,14 @@ instance {ε} [MonadCont m] : MonadCont (ExceptT ε m) where callCc α β := Exc
instance {ε} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (ExceptT ε m)
where
callCc_bind_right := by
- intros ; simp [call_cc, ExceptT.callCc, call_cc_bind_right]; ext; dsimp
+ intros; simp [call_cc, ExceptT.callCc, call_cc_bind_right]; ext; dsimp
congr with ⟨⟩ <;> simp [ExceptT.bindCont, @call_cc_dummy m _]
callCc_bind_left := by
intros
simp [call_cc, ExceptT.callCc, call_cc_bind_right, ExceptT.goto_mkLabel, map_eq_bind_pure_comp,
bind_assoc, @call_cc_bind_left m _]
ext; rfl
- callCc_dummy := by intros ; simp [call_cc, ExceptT.callCc, @call_cc_dummy m _]; ext; rfl
+ callCc_dummy := by intros; simp [call_cc, ExceptT.callCc, @call_cc_dummy m _]; ext; rfl
def OptionT.mkLabel {α β} : Label (Option.{u} α) m β → Label α (OptionT m) β
| ⟨f⟩ => ⟨fun a => monadLift <| f (some a)⟩
@@ -168,14 +168,14 @@ instance [MonadCont m] : MonadCont (OptionT m) where callCc α β := OptionT.cal
instance [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (OptionT m)
where
callCc_bind_right := by
- intros ; simp [call_cc, OptionT.callCc, call_cc_bind_right]; ext; dsimp
+ intros; simp [call_cc, OptionT.callCc, call_cc_bind_right]; ext; dsimp
congr with ⟨⟩ <;> simp [OptionT.bindCont, @call_cc_dummy m _]
callCc_bind_left := by
- intros ;
+ intros;
simp [call_cc, OptionT.callCc, call_cc_bind_right, OptionT.goto_mkLabel, map_eq_bind_pure_comp,
bind_assoc, @call_cc_bind_left m _]
ext; rfl
- callCc_dummy := by intros ; simp [call_cc, OptionT.callCc, @call_cc_dummy m _]; ext; rfl
+ callCc_dummy := by intros; simp [call_cc, OptionT.callCc, @call_cc_dummy m _]; ext; rfl
def WriterT.mkLabel {α β ω} [One ω] : Label (α × ω) m β → Label α (WriterT ω m) β
| ⟨f⟩ => ⟨fun a => monadLift <| f (a, 1)⟩
@@ -215,11 +215,11 @@ instance {σ} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (StateT σ
simp [call_cc, StateT.callCc, call_cc_bind_right, (· >>= ·), StateT.bind]; ext; dsimp
congr with ⟨x₀, x₁⟩; rfl
callCc_bind_left := by
- intros ;
+ intros;
simp [call_cc, StateT.callCc, call_cc_bind_left, (· >>= ·), StateT.bind, StateT.goto_mkLabel]
ext; rfl
callCc_dummy := by
- intros ;
+ intros;
simp [call_cc, StateT.callCc, call_cc_bind_right, (· >>= ·), StateT.bind, @call_cc_dummy m _]
ext; rfl
@@ -240,11 +240,11 @@ instance {ρ} [MonadCont m] : MonadCont (ReaderT ρ m) where callCc α β := Rea
instance {ρ} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (ReaderT ρ m)
where
- callCc_bind_right := by intros ; simp [call_cc, ReaderT.callCc, call_cc_bind_right]; ext; rfl
+ callCc_bind_right := by intros; simp [call_cc, ReaderT.callCc, call_cc_bind_right]; ext; rfl
callCc_bind_left := by
- intros ; simp [call_cc, ReaderT.callCc, call_cc_bind_left, ReaderT.goto_mkLabel]
+ intros; simp [call_cc, ReaderT.callCc, call_cc_bind_left, ReaderT.goto_mkLabel]
ext; rfl
- callCc_dummy := by intros ; simp [call_cc, ReaderT.callCc, @call_cc_dummy m _]; ext; rfl
+ callCc_dummy := by intros; simp [call_cc, ReaderT.callCc, @call_cc_dummy m _]; ext; rfl
/-- reduce the equivalence between two continuation passing monads to the equivalence between
their underlying monad -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -177,12 +177,6 @@ instance [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (OptionT m)
ext; rfl
callCc_dummy := by intros ; simp [call_cc, OptionT.callCc, @call_cc_dummy m _]; ext; rfl
-/- warning: writer_t.mk_label -> WriterTₓ.mkLabel is a dubious translation:
-lean 3 declaration is
- forall {m : Type.{u1} -> Type.{u2}} [_inst_1 : Monad.{u1, u2} m] {α : Type.{u3}} {β : Type.{u1}} {ω : Type.{u1}} [_inst_2 : One.{u1} ω], (MonadCont.Label.{u1, u2, max u3 u1} (Prod.{u3, u1} α ω) m β) -> (MonadCont.Label.{u1, max u1 u2, u3} α (WriterTₓ.{u1, u2} ω m) β)
-but is expected to have type
- forall {m : Type.{u2} -> Type.{u3}} [_inst_1 : Monad.{u2, u3} m] {α : Type.{u1}} {β : Type.{u2}} {ω : Type.{u2}} [_inst_2 : One.{u2} ω], (MonadCont.Label.{u2, u3, max u1 u2} (Prod.{u1, u2} α ω) m β) -> (MonadCont.Label.{u2, max u2 u3, u1} α (WriterTₓ.{u2, u3} ω m) β)
-Case conversion may be inaccurate. Consider using '#align writer_t.mk_label WriterTₓ.mkLabelₓ'. -/
def WriterT.mkLabel {α β ω} [One ω] : Label (α × ω) m β → Label α (WriterT ω m) β
| ⟨f⟩ => ⟨fun a => monadLift <| f (a, 1)⟩
#align writer_t.mk_label WriterTₓ.mkLabel
@@ -199,12 +193,6 @@ def WriterT.callCc [MonadCont m] {α β ω : Type _} [One ω]
instance (ω) [Monad m] [One ω] [MonadCont m] : MonadCont (WriterT ω m)
where callCc α β := WriterT.callCc
-/- warning: state_t.mk_label -> StateTₓ.mkLabel is a dubious translation:
-lean 3 declaration is
- forall {m : Type.{u1} -> Type.{u2}} [_inst_1 : Monad.{u1, u2} m] {α : Type.{u1}} {β : Type.{u1}} {σ : Type.{u1}}, (MonadCont.Label.{u1, u2, u1} (Prod.{u1, u1} α σ) m (Prod.{u1, u1} β σ)) -> (MonadCont.Label.{u1, max u1 u2, u1} α (StateTₓ.{u1, u2} σ m) β)
-but is expected to have type
- forall {m : Type.{u1} -> Type.{u2}} {_inst_1 : Type.{u1}} {α : Type.{u1}} {β : Type.{u1}}, (MonadCont.Label.{u1, u2, u1} (Prod.{u1, u1} _inst_1 β) m (Prod.{u1, u1} α β)) -> (MonadCont.Label.{u1, max u1 u2, u1} _inst_1 (StateTₓ.{u1, u2} β m) α)
-Case conversion may be inaccurate. Consider using '#align state_t.mk_label StateTₓ.mkLabelₓ'. -/
def StateT.mkLabel {α β σ : Type u} : Label (α × σ) m (β × σ) → Label α (StateT σ m) β
| ⟨f⟩ => ⟨fun a => ⟨fun s => f (a, s)⟩⟩
#align state_t.mk_label StateTₓ.mkLabel
@@ -235,12 +223,6 @@ instance {σ} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (StateT σ
simp [call_cc, StateT.callCc, call_cc_bind_right, (· >>= ·), StateT.bind, @call_cc_dummy m _]
ext; rfl
-/- warning: reader_t.mk_label -> ReaderTₓ.mkLabel is a dubious translation:
-lean 3 declaration is
- forall {m : Type.{u1} -> Type.{u2}} [_inst_1 : Monad.{u1, u2} m] {α : Type.{u3}} {β : Type.{u1}} (ρ : Type.{u1}), (MonadCont.Label.{u1, u2, u3} α m β) -> (MonadCont.Label.{u1, max u1 u2, u3} α (ReaderTₓ.{u1, u2} ρ m) β)
-but is expected to have type
- forall {m : Type.{u2} -> Type.{u3}} [_inst_1 : Monad.{u2, u3} m] {α : Type.{u1}} {β : Type.{u2}} (ρ : Type.{u2}), (MonadCont.Label.{u2, u3, u1} α m β) -> (MonadCont.Label.{u2, max u2 u3, u1} α (ReaderTₓ.{u2, u3} ρ m) β)
-Case conversion may be inaccurate. Consider using '#align reader_t.mk_label ReaderTₓ.mkLabelₓ'. -/
def ReaderT.mkLabel {α β} (ρ) : Label α m β → Label α (ReaderT ρ m) β
| ⟨f⟩ => ⟨monadLift ∘ f⟩
#align reader_t.mk_label ReaderTₓ.mkLabel
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -86,17 +86,9 @@ instance : Monad (ContT r m) where
instance : LawfulMonad (ContT r m)
where
- id_map := by
- intros
- rfl
- pure_bind := by
- intros
- ext
- rfl
- bind_assoc := by
- intros
- ext
- rfl
+ id_map := by intros ; rfl
+ pure_bind := by intros ; ext; rfl
+ bind_assoc := by intros ; ext; rfl
def monadLift [Monad m] {α} : m α → ContT r m α := fun x f => x >>= f
#align cont_t.monad_lift ContT.monadLift
@@ -149,22 +141,14 @@ instance {ε} [MonadCont m] : MonadCont (ExceptT ε m) where callCc α β := Exc
instance {ε} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (ExceptT ε m)
where
callCc_bind_right := by
- intros
- simp [call_cc, ExceptT.callCc, call_cc_bind_right]
- ext
- dsimp
+ intros ; simp [call_cc, ExceptT.callCc, call_cc_bind_right]; ext; dsimp
congr with ⟨⟩ <;> simp [ExceptT.bindCont, @call_cc_dummy m _]
callCc_bind_left := by
intros
simp [call_cc, ExceptT.callCc, call_cc_bind_right, ExceptT.goto_mkLabel, map_eq_bind_pure_comp,
bind_assoc, @call_cc_bind_left m _]
- ext
- rfl
- callCc_dummy := by
- intros
- simp [call_cc, ExceptT.callCc, @call_cc_dummy m _]
- ext
- rfl
+ ext; rfl
+ callCc_dummy := by intros ; simp [call_cc, ExceptT.callCc, @call_cc_dummy m _]; ext; rfl
def OptionT.mkLabel {α β} : Label (Option.{u} α) m β → Label α (OptionT m) β
| ⟨f⟩ => ⟨fun a => monadLift <| f (some a)⟩
@@ -184,22 +168,14 @@ instance [MonadCont m] : MonadCont (OptionT m) where callCc α β := OptionT.cal
instance [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (OptionT m)
where
callCc_bind_right := by
- intros
- simp [call_cc, OptionT.callCc, call_cc_bind_right]
- ext
- dsimp
+ intros ; simp [call_cc, OptionT.callCc, call_cc_bind_right]; ext; dsimp
congr with ⟨⟩ <;> simp [OptionT.bindCont, @call_cc_dummy m _]
callCc_bind_left := by
- intros
+ intros ;
simp [call_cc, OptionT.callCc, call_cc_bind_right, OptionT.goto_mkLabel, map_eq_bind_pure_comp,
bind_assoc, @call_cc_bind_left m _]
- ext
- rfl
- callCc_dummy := by
- intros
- simp [call_cc, OptionT.callCc, @call_cc_dummy m _]
- ext
- rfl
+ ext; rfl
+ callCc_dummy := by intros ; simp [call_cc, OptionT.callCc, @call_cc_dummy m _]; ext; rfl
/- warning: writer_t.mk_label -> WriterTₓ.mkLabel is a dubious translation:
lean 3 declaration is
@@ -248,21 +224,16 @@ instance {σ} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (StateT σ
where
callCc_bind_right := by
intros
- simp [call_cc, StateT.callCc, call_cc_bind_right, (· >>= ·), StateT.bind]
- ext
- dsimp
- congr with ⟨x₀, x₁⟩
- rfl
+ simp [call_cc, StateT.callCc, call_cc_bind_right, (· >>= ·), StateT.bind]; ext; dsimp
+ congr with ⟨x₀, x₁⟩; rfl
callCc_bind_left := by
- intros
+ intros ;
simp [call_cc, StateT.callCc, call_cc_bind_left, (· >>= ·), StateT.bind, StateT.goto_mkLabel]
- ext
- rfl
+ ext; rfl
callCc_dummy := by
- intros
+ intros ;
simp [call_cc, StateT.callCc, call_cc_bind_right, (· >>= ·), StateT.bind, @call_cc_dummy m _]
- ext
- rfl
+ ext; rfl
/- warning: reader_t.mk_label -> ReaderTₓ.mkLabel is a dubious translation:
lean 3 declaration is
@@ -287,21 +258,11 @@ instance {ρ} [MonadCont m] : MonadCont (ReaderT ρ m) where callCc α β := Rea
instance {ρ} [MonadCont m] [IsLawfulMonadCont m] : IsLawfulMonadCont (ReaderT ρ m)
where
- callCc_bind_right := by
- intros
- simp [call_cc, ReaderT.callCc, call_cc_bind_right]
- ext
- rfl
+ callCc_bind_right := by intros ; simp [call_cc, ReaderT.callCc, call_cc_bind_right]; ext; rfl
callCc_bind_left := by
- intros
- simp [call_cc, ReaderT.callCc, call_cc_bind_left, ReaderT.goto_mkLabel]
- ext
- rfl
- callCc_dummy := by
- intros
- simp [call_cc, ReaderT.callCc, @call_cc_dummy m _]
- ext
- rfl
+ intros ; simp [call_cc, ReaderT.callCc, call_cc_bind_left, ReaderT.goto_mkLabel]
+ ext; rfl
+ callCc_dummy := by intros ; simp [call_cc, ReaderT.callCc, @call_cc_dummy m _]; ext; rfl
/-- reduce the equivalence between two continuation passing monads to the equivalence between
their underlying monad -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -102,7 +102,7 @@ instance [Monad m] : MonadLift m (ContT r m) where
theorem monadLift_bind [Monad m] [LawfulMonad m] {α β} (x : m α) (f : α → m β) :
(monadLift (x >>= f) : ContT r m β) = monadLift x >>= monadLift ∘ f := by
ext
- simp only [monadLift, MonadLift.monadLift, (· ∘ ·), (· >>= ·), bind_assoc, id.def, run,
+ simp only [monadLift, MonadLift.monadLift, (· ∘ ·), (· >>= ·), bind_assoc, id, run,
ContT.monadLift]
#align cont_t.monad_lift_bind ContT.monadLift_bind
@@ -141,15 +141,15 @@ instance {ε} [MonadCont m] : MonadCont (ExceptT ε m) where
instance {ε} [MonadCont m] [LawfulMonadCont m] : LawfulMonadCont (ExceptT ε m) where
callCC_bind_right := by
- intros; simp [callCC, ExceptT.callCC, callCC_bind_right]; ext
+ intros; simp only [callCC, ExceptT.callCC, ExceptT.run_bind, callCC_bind_right]; ext
dsimp
congr with ⟨⟩ <;> simp [ExceptT.bindCont, @callCC_dummy m _]
callCC_bind_left := by
intros
- simp [callCC, ExceptT.callCC, callCC_bind_right, ExceptT.goto_mkLabel, map_eq_bind_pure_comp,
- bind_assoc, @callCC_bind_left m _, Function.comp]
+ simp only [callCC, ExceptT.callCC, ExceptT.goto_mkLabel, map_eq_bind_pure_comp, Function.comp,
+ ExceptT.run_bind, ExceptT.run_mk, bind_assoc, pure_bind, @callCC_bind_left m _]
ext; rfl
- callCC_dummy := by intros; simp [callCC, ExceptT.callCC, @callCC_dummy m _]; ext; rfl
+ callCC_dummy := by intros; simp only [callCC, ExceptT.callCC, @callCC_dummy m _]; ext; rfl
def OptionT.mkLabel {α β} : Label (Option.{u} α) m β → Label α (OptionT m) β
| ⟨f⟩ => ⟨fun a => monadLift <| f (some a)⟩
@@ -170,15 +170,15 @@ instance [MonadCont m] : MonadCont (OptionT m) where
instance [MonadCont m] [LawfulMonadCont m] : LawfulMonadCont (OptionT m) where
callCC_bind_right := by
- intros; simp [callCC, OptionT.callCC, callCC_bind_right]; ext
+ intros; simp only [callCC, OptionT.callCC, OptionT.run_bind, callCC_bind_right]; ext
dsimp
congr with ⟨⟩ <;> simp [@callCC_dummy m _]
callCC_bind_left := by
intros;
- simp [callCC, OptionT.callCC, callCC_bind_right, OptionT.goto_mkLabel, map_eq_bind_pure_comp,
- bind_assoc, @callCC_bind_left m _, Function.comp]
+ simp only [callCC, OptionT.callCC, OptionT.goto_mkLabel, OptionT.run_bind, OptionT.run_mk,
+ bind_assoc, pure_bind, @callCC_bind_left m _]
ext; rfl
- callCC_dummy := by intros; simp [callCC, OptionT.callCC, @callCC_dummy m _]; ext; rfl
+ callCC_dummy := by intros; simp only [callCC, OptionT.callCC, @callCC_dummy m _]; ext; rfl
/- Porting note: In Lean 3, `One ω` is required for `MonadLift (WriterT ω m)`. In Lean 4,
`EmptyCollection ω` or `Monoid ω` is required. So we give definitions for the both
@@ -233,13 +233,14 @@ instance {σ} [MonadCont m] : MonadCont (StateT σ m) where
instance {σ} [MonadCont m] [LawfulMonadCont m] : LawfulMonadCont (StateT σ m) where
callCC_bind_right := by
intros
- simp [callCC, StateT.callCC, callCC_bind_right]; ext; rfl
+ simp only [callCC, StateT.callCC, StateT.run_bind, callCC_bind_right]; ext; rfl
callCC_bind_left := by
intros;
- simp [callCC, StateT.callCC, callCC_bind_left, StateT.goto_mkLabel]; ext; rfl
+ simp only [callCC, StateT.callCC, StateT.goto_mkLabel, StateT.run_bind, StateT.run_mk,
+ callCC_bind_left]; ext; rfl
callCC_dummy := by
intros;
- simp [callCC, StateT.callCC, callCC_bind_right, @callCC_dummy m _]
+ simp only [callCC, StateT.callCC, @callCC_dummy m _]
ext; rfl
def ReaderT.mkLabel {α β} (ρ) : Label α m β → Label α (ReaderT ρ m) β
@@ -259,11 +260,13 @@ instance {ρ} [MonadCont m] : MonadCont (ReaderT ρ m) where
callCC := ReaderT.callCC
instance {ρ} [MonadCont m] [LawfulMonadCont m] : LawfulMonadCont (ReaderT ρ m) where
- callCC_bind_right := by intros; simp [callCC, ReaderT.callCC, callCC_bind_right]; ext; rfl
+ callCC_bind_right := by intros; simp only [callCC, ReaderT.callCC, ReaderT.run_bind,
+ callCC_bind_right]; ext; rfl
callCC_bind_left := by
- intros; simp [callCC, ReaderT.callCC, callCC_bind_left, ReaderT.goto_mkLabel]
+ intros; simp only [callCC, ReaderT.callCC, ReaderT.goto_mkLabel, ReaderT.run_bind,
+ ReaderT.run_monadLift, monadLift_self, callCC_bind_left]
ext; rfl
- callCC_dummy := by intros; simp [callCC, ReaderT.callCC, @callCC_dummy m _]; ext; rfl
+ callCC_dummy := by intros; simp only [callCC, ReaderT.callCC, @callCC_dummy m _]; ext; rfl
/-- reduce the equivalence between two continuation passing monads to the equivalence between
their underlying monad -/
@@ -33,7 +33,8 @@ class MonadCont (m : Type u → Type v) where
open MonadCont
-class LawfulMonadCont (m : Type u → Type v) [Monad m] [MonadCont m] extends LawfulMonad m where
+class LawfulMonadCont (m : Type u → Type v) [Monad m] [MonadCont m]
+ extends LawfulMonad m : Prop where
callCC_bind_right {α ω γ} (cmd : m α) (next : Label ω m γ → α → m ω) :
(callCC fun f => cmd >>= next f) = cmd >>= fun x => callCC fun f => next f x
callCC_bind_left {α} (β) (x : α) (dead : Label α m β → β → m α) :
@@ -2,16 +2,13 @@
Copyright (c) 2019 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.monad.cont
-! leanprover-community/mathlib commit d6814c584384ddf2825ff038e868451a7c956f31
-! 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.Writer
import Mathlib.Init.Control.Lawful
+#align_import control.monad.cont from "leanprover-community/mathlib"@"d6814c584384ddf2825ff038e868451a7c956f31"
+
/-!
# Continuation Monad
All dependencies are ported!