diff --git a/src/Lean/Elab/BuiltinNotation.lean b/src/Lean/Elab/BuiltinNotation.lean
index 07df420ec0..c986d185a1 100644
--- a/src/Lean/Elab/BuiltinNotation.lean
+++ b/src/Lean/Elab/BuiltinNotation.lean
@@ -209,6 +209,27 @@ private def elabCDot (stx : Syntax) (expectedType? : Option Expr) : TermElabM Ex
   | some stx' => withMacroExpansion stx stx' (elabTerm stx' expectedType?)
   | none      => elabTerm stx expectedType?
 
+/--
+  Helper method for elaborating terms such as `(.+.)` where a constant name is expected.
+  This method is usually used to implement tactics that function names as arguments (e.g., `simp`).
+-/
+def elabCDotFunctionAlias? (stx : Syntax) : TermElabM (Option Expr) := do
+  let some stx ← liftMacroM <| expandCDotArg? stx | pure none
+  let stx ← liftMacroM <| expandMacros stx
+  match stx with
+  | `(fun $binders* => $f:ident $args*) =>
+    if binders == args then
+      try Term.resolveId? f catch _ => return none
+    else
+      return none
+  | _ => return none
+where
+  expandCDotArg? (stx : Syntax) : MacroM (Option Syntax) :=
+    match stx with
+    | `(($e)) => Term.expandCDot? e
+    | _ => Term.expandCDot? stx
+
+
 @[builtinTermElab paren] def elabParen : TermElab := fun stx expectedType? => do
   match stx with
   | `(())           => return Lean.mkConst `Unit.unit
diff --git a/src/Lean/Elab/Tactic/Simp.lean b/src/Lean/Elab/Tactic/Simp.lean
index 614a624b43..6e789f14f2 100644
--- a/src/Lean/Elab/Tactic/Simp.lean
+++ b/src/Lean/Elab/Tactic/Simp.lean
@@ -8,6 +8,7 @@ import Lean.Elab.Tactic.Basic
 import Lean.Elab.Tactic.ElabTerm
 import Lean.Elab.Tactic.Location
 import Lean.Meta.Tactic.Replace
+import Lean.Elab.BuiltinNotation
 
 namespace Lean.Elab.Tactic
 open Meta
@@ -37,6 +38,24 @@ def elabSimpConfig (optConfig : Syntax) (ctx : Bool) : TermElabM Meta.Simp.Confi
       else
         evalSimpConfig (← instantiateMVars c)
 
+private def elabSimpLemmaTerm (stx : Syntax) : TacticM Expr := do
+  withRef stx <| Term.withoutErrToSorry do
+    let e ← Term.elabTerm stx none
+    Term.synthesizeSyntheticMVarsUsingDefault
+    let e ← instantiateMVars e
+    return e.eta
+
+private def addLemma (lemmas : Meta.SimpLemmas) (e : Expr) (post : Bool): MetaM Meta.SimpLemmas := do
+  if e.isConst then
+    let declName := e.constName!
+    let info ← getConstInfo declName
+    if (← isProp info.type) then
+      lemmas.addConst declName post
+    else
+      lemmas.addDeclToUnfold declName
+  else
+    lemmas.add e post
+
 /--
   Elaborate extra simp lemmas provided to `simp`. `stx` is of the `simpLemma,*`
   If `eraseLocal == true`, then we consider local declarations when resolving names for erased lemmas (`- id`),
@@ -70,19 +89,10 @@ private def elabSimpLemmas (stx : Syntax) (ctx : Simp.Context) (eraseLocal : Boo
             else
               arg[0][0].getKind == ``Parser.Tactic.simpPost
           match (← resolveSimpIdLemma? arg[1]) with
-          | some e =>
-            if e.isConst then
-              let declName := e.constName!
-              let info ← getConstInfo declName
-              if (← isProp info.type) then
-                lemmas ← lemmas.addConst declName post
-              else
-                lemmas := lemmas.addDeclToUnfold declName
-            else
-              lemmas ← lemmas.add e post
+          | some e => lemmas ← addLemma lemmas e post
           | _ =>
-            let arg ← elabTerm arg[1] none (mayPostpone := false)
-            lemmas ← lemmas.add arg post
+            let e ← elabSimpLemmaTerm arg[1]
+            lemmas ← addLemma lemmas e post
       return { ctx with simpLemmas := lemmas }
 where
   resolveSimpIdLemma? (simpArgTerm : Syntax) : TacticM (Option Expr) := do
@@ -92,7 +102,7 @@ where
       catch _ =>
         return none
     else
-      return none
+      Term.elabCDotFunctionAlias? simpArgTerm
 
 --  If `ctx == false`, the argument is assumed to have type `Meta.Simp.Config`, and `Meta.Simp.ConfigCtx` otherwise. -/
 private def mkSimpContext (stx : Syntax) (eraseLocal : Bool) (ctx := false) : TacticM Simp.Context := do
diff --git a/tests/lean/cdotAtSimpArg.lean b/tests/lean/cdotAtSimpArg.lean
new file mode 100644
index 0000000000..8d8c3f36c5
--- /dev/null
+++ b/tests/lean/cdotAtSimpArg.lean
@@ -0,0 +1,16 @@
+example : ¬ true = false := by
+  simp [(¬ ·)]
+
+example (h : y = 0) : x + y = x := by
+  simp [(.+.)] -- Expands `HAdd.hAdd
+  traceState
+  simp [Add.add]
+  simp [h, Nat.add]
+  done
+
+example (h : y = 0) : x + y = x := by
+  simp [.+.]
+  traceState
+  simp [Add.add]
+  simp [h, Nat.add]
+  done
diff --git a/tests/lean/cdotAtSimpArg.lean.expected.out b/tests/lean/cdotAtSimpArg.lean.expected.out
new file mode 100644
index 0000000000..37cb79eba0
--- /dev/null
+++ b/tests/lean/cdotAtSimpArg.lean.expected.out
@@ -0,0 +1,6 @@
+y x : Nat
+h : y = 0
+⊢ Add.add x y = x
+y x : Nat
+h : y = 0
+⊢ Add.add x y = x