diff --git a/RandomDo.lean b/RandomDo.lean
index 4c24e0c..44782b1 100644
--- a/RandomDo.lean
+++ b/RandomDo.lean
@@ -6,13 +6,15 @@ public import RandomDo.MeasurableSpaceMonad.Defs
 public import RandomDo.MeasurableSpaceMonad.ForIn
 public import RandomDo.Monad.ForInInstances
 public import RandomDo.Monad.Instances
-public import RandomDo.Monad.Notation
 public import RandomDo.NumLean.Binomial
 public import RandomDo.NumLean.Distributions
 public import RandomDo.NumLean.PCG64
 public import RandomDo.NumLean.SeedSequence
 public import RandomDo.NumLean.Ziggurat
 public import RandomDo.NumLean.ZigguratSampler
+public import RandomDo.RDo
+public import RandomDo.RDo.Core
+public import RandomDo.RDo.ForIn
 public import RandomDo.Tactic.Computable.Counterparts
 public import RandomDo.Tactic.Computable.Defs
 public import RandomDo.Tactic.Computable.Deriving
diff --git a/RandomDo/Monad/ForInInstances.lean b/RandomDo/Monad/ForInInstances.lean
index fde7c94..deb32fa 100644
--- a/RandomDo/Monad/ForInInstances.lean
+++ b/RandomDo/Monad/ForInInstances.lean
@@ -5,7 +5,7 @@ Authors: David Ledvinka
 -/
 module
 
-public import RandomDo.Monad.Notation
+public import RandomDo.RDo.ForIn
 
 /-!
 # Instances for `MeasurableSpaceForIn`
diff --git a/RandomDo/RDo.lean b/RandomDo/RDo.lean
new file mode 100644
index 0000000..f92f846
--- /dev/null
+++ b/RandomDo/RDo.lean
@@ -0,0 +1,4 @@
+module  -- shake: keep-all --deprecated_module: ignore
+
+public import RandomDo.RDo.Core
+public import RandomDo.RDo.ForIn
diff --git a/RandomDo/RDo/Core.lean b/RandomDo/RDo/Core.lean
new file mode 100644
index 0000000..d49eb54
--- /dev/null
+++ b/RandomDo/RDo/Core.lean
@@ -0,0 +1,82 @@
+/-
+Copyright (c) 2026 David Ledvinka. All rights reserved.
+Released under Apache 2.0 license as described in the file LICENSE.
+Authors: David Ledvinka
+-/
+module
+
+public import RandomDo.MeasurableSpaceMonad.Defs
+public import Mathlib.MeasureTheory.MeasurableSpace.Prod
+public meta import Lean.Elab.BuiltinDo
+
+/-!
+# `rdo` notation
+
+This file defines `rdo` notation for computations in a measurable space monad, where
+`MeasurableSpacePure.mPure` and `MeasurableSpaceBind.mBind` take the roles of `Pure.pure` and
+`Bind.bind` respectively. Use `open MeasureTheory` (or `open scoped MeasureTheory`) to enable the
+notation.
+-/
+
+open Lean Lean.Parser Lean.Parser.Term Lean.Meta Lean.Elab Lean.Elab.Do Lean.Elab.Term Std Meta
+open MeasureTheory MeasurableSpacePure MeasurableSpaceBind
+
+public meta section
+
+namespace MeasureTheory
+
+/-- `rdo` is the `do` notation for writing monadic programs in a measurable space monad. -/
+scoped syntax (name := randKind) "rdo" doSeq : term
+
+namespace RDo
+
+/-- The `DoOps` for `rdo` notation. Analogue of `do` notation's `Lean.Elab.Do.DoOps.default`. -/
+def randOps : DoOps where
+  mkPureApp α e := do
+    let info := (← read).monadInfo
+    if (← read).deadCode matches .deadSyntactically then
+      -- There is no dead syntax here. Just return a fresh metavariable so that we don't
+      -- do the `Term.ensureHasType` check below.
+      return ← mkFreshExprMVar (← mkMonadApp α)
+    let α ← Term.ensureHasType (mkSort (mkLevelSucc info.u)) α
+    let e ← Term.ensureHasType α e
+    let instPure ← Term.mkInstMVar (mkApp (mkConst ``MeasurableSpacePure [info.u, info.v]) info.m)
+    let instPure ← instantiateMVars instPure
+    let σ ← Term.mkInstMVar (mkApp (mkConst ``MeasurableSpace [info.u]) α)
+    let σ ← instantiateMVars σ
+    return mkApp5 (mkConst ``MeasurableSpacePure.mPure [info.u, info.v]) info.m instPure α σ e
+  mkBindApp α β e k := do
+    let info := (← read).monadInfo
+    let α ← Term.ensureHasType (mkSort (mkLevelSucc info.u)) α
+    let σα ← Term.mkInstMVar (mkApp (mkConst ``MeasurableSpace [info.u]) α)
+    let σβ ← Term.mkInstMVar (mkApp (mkConst ``MeasurableSpace [info.u]) β)
+    let mα := mkApp2 info.m α σα
+    let e ← Term.ensureHasType mα e
+    let k ← Term.ensureHasType (← mkArrow α (mkApp2 info.m β σβ)) k
+    let instBind ← Term.mkInstMVar (mkApp (mkConst ``MeasurableSpaceBind [info.u, info.v]) info.m)
+    return mkApp8 (mkConst ``MeasurableSpaceBind.mBind [info.u, info.v])
+      info.m instBind α β σα σβ e k
+  isPureApp? e :=
+    if e.isAppOfArity ``MeasurableSpacePure.mPure 5 then some (e.getArg! 4) else none
+  splitMonadApp? type := do
+    let .app m σ := type.consumeMData | return none
+    let .app m resultType := m.consumeMData | return none
+    unless ← isType resultType do return none
+    let σType ← whnf (← inferType σ)
+    unless σType.isAppOf ``MeasurableSpace do return none
+    let u ← getDecLevel resultType
+    let v ← getDecLevel type
+    return some ({ m, u := u.normalize, v := v.normalize }, resultType)
+  mkMonadApp α := do
+    let info := (← read).monadInfo
+    let σ ← Term.mkInstMVar (mkApp (mkConst ``MeasurableSpace [info.u]) α)
+    return mkApp2 info.m α σ
+
+/-- The `rdo` notation elaborator. Analogue of `do` notation's `Lean.Elab.Do.elabDo`. -/
+@[term_elab randKind] def elabRand : Term.TermElab := fun stx et? => do
+  let `(rdo $doSeq) := stx | throwUnsupportedSyntax
+  elabDoWith randOps doSeq et?
+
+end RDo
+
+end MeasureTheory
diff --git a/RandomDo/Monad/Notation.lean b/RandomDo/RDo/ForIn.lean
similarity index 80%
rename from RandomDo/Monad/Notation.lean
rename to RandomDo/RDo/ForIn.lean
index 9b1d5f9..c1e3b4b 100644
--- a/RandomDo/Monad/Notation.lean
+++ b/RandomDo/RDo/ForIn.lean
@@ -5,74 +5,23 @@ Authors: David Ledvinka
 -/
 module
 
+public import RandomDo.RDo.Core
 public import RandomDo.MeasurableSpaceMonad.ForIn
-public import Mathlib.MeasureTheory.MeasurableSpace.Prod
-public meta import Lean.Elab.BuiltinDo
 public meta import Lean.Meta.ProdN
 
 /-!
-# `rdo` Notation
-
-**TODO**
+# `for` loops in `rdo` notation
 
+This file defines the syntax, macro expansion, and elaboration for `for` loops in `rdo` notation.
 -/
 
 open Lean Lean.Parser Lean.Parser.Term Lean.Meta Lean.Elab Lean.Elab.Do Lean.Elab.Term Std Meta
-
 open MeasureTheory MeasurableSpacePure MeasurableSpaceBind
 
 public meta section
 
 namespace RDo
 
-/-- Define `DoOp`s for `rdo` notation. -/
-def randOps : DoOps := { DoOps.default with
-  mkPureApp α e := do
-    let ⟨m, u, v, _, _⟩ := (← read).monadInfo
-    let α ← Term.ensureHasType (mkSort (mkLevelSucc u)) α
-    let e ← Term.ensureHasType α e
-    let instPure ← mkInstMVar (.app (mkConst ``MeasurableSpacePure [u,v]) m)
-    let instPure ← instantiateMVars instPure
-    let σ ← mkInstMVar (.app (mkConst ``MeasurableSpace [u]) α)
-    let σ ← instantiateMVars σ
-    return mkAppN (mkConst ``mPure [u, v]) #[m, instPure, α, σ, e]
-  mkBindApp α β e k := do
-    let ⟨m, u, v, _, _⟩ := (← read).monadInfo
-    let α ← Term.ensureHasType (mkSort (mkLevelSucc u)) α
-    let σα ← mkInstMVar (.app (mkConst ``MeasurableSpace [u]) α)
-    let σβ ← mkInstMVar (.app (mkConst ``MeasurableSpace [u]) β)
-    let mα := mkApp2 m α σα
-    let mβ := mkApp2 m β σβ
-    let e ← Term.ensureHasType mα e
-    let k ← Term.ensureHasType (← mkArrow α mβ) k
-    let σα ← instantiateMVars σα
-    let σβ ← instantiateMVars σβ
-    let instBind ← mkInstMVar (.app (mkConst ``MeasurableSpaceBind [u, v]) m)
-    let instBind ← instantiateMVars instBind
-    return mkAppN (mkConst ``mBind [u, v]) #[m, instBind, α, β, σα, σβ, e, k]
-  isPureApp? e :=
-    if e.isAppOfArity ``mPure 5 then some (e.getArg! 4) else none
-  splitMonadApp? type := do
-    let .app m _ := type.consumeMData | return none
-    let .app m resultType := m.consumeMData | return none
-    unless ← isType resultType do return none
-    let u ← getDecLevel resultType
-    let v ← getDecLevel type
-    return some ({ m := m, u := u.normalize, v := v.normalize }, resultType)
-  mkMonadApp α := do
-    let ⟨m, u, _, _, _⟩ := (← read).monadInfo
-    let σ ← mkInstMVar (mkApp (mkConst ``MeasurableSpace [u]) α)
-    return mkApp2 m α σ
-  }
-
-/-- The `do` notation for writing monadic programs depending on a `MeasurableSpace` instance. -/
-syntax (name := randKind) "rdo" doSeq : term
-
-/-- Define `rdo` notation elaborator. -/
-@[term_elab randKind] def elabRand : Term.TermElab := fun stx et? => do
-  let `(rdo $doSeq) := stx | throwUnsupportedSyntax
-  elabDoWith randOps doSeq et?
-
 section LoopElab
 
 /-- parses `_ : _ in` for `rdo` for loops -/
diff --git a/RandomDo/Tactic/Computable/Example.lean b/RandomDo/Tactic/Computable/Example.lean
index 13f7e54..0c725c0 100644
--- a/RandomDo/Tactic/Computable/Example.lean
+++ b/RandomDo/Tactic/Computable/Example.lean
@@ -7,7 +7,7 @@ Authors: Gaëtan Serré
 module
 
 public import RandomDo.Monad.Instances
-public import RandomDo.Monad.Notation
+public import RandomDo.RDo
 public import RandomDo.NumLean.Distributions
 public import RandomDo.Tactic.Computable.Deriving
 public import Mathlib