diff --git a/client/src/components/hints.tsx b/client/src/components/hints.tsx
index e488464..e57db5f 100644
--- a/client/src/components/hints.tsx
+++ b/client/src/components/hints.tsx
@@ -5,15 +5,33 @@ import { DeletedChatContext, ProofContext } from "./infoview/context";
 import { lastStepHasErrors } from "./infoview/goals";
 import { Button } from "./button";
 
+/** Plug-in the variable names in a hint. We do this client-side to prepare
+ * for i18n in the future. i.e. one should be able translate the `rawText`
+ * and have the variables substituted just before displaying.
+ */
+function getHintText(hint: GameHint): string {
+  if (hint.rawText) {
+    // Replace the variable names used in the hint with the ones used by the player
+    // variable names are marked like `«{g}»` inside the text.
+    return hint.rawText.replace(/«\{(.*?)\}»/, ((_, v) =>
+      // `hint.varNames` contains tuples `[oldName, newName]`
+      (hint.varNames.find(x => x[0] == v))[1]))
+  } else {
+    // hints created in the frontend do not have a `rawText`
+    // TODO: `hint.text` could be removed in theory.
+    return hint.text
+  }
+}
+
 export function Hint({hint, step, selected, toggleSelection, lastLevel} : {hint: GameHint, step: number, selected: number, toggleSelection: any, lastLevel?: boolean}) {
   return <div className={`message information step-${step}` + (step == selected ? ' selected' : '') + (lastLevel ? ' recent' : '')} onClick={toggleSelection}>
-    <Markdown>{hint.text}</Markdown>
+    <Markdown>{getHintText(hint)}</Markdown>
   </div>
 }
 
 export function HiddenHint({hint, step, selected, toggleSelection, lastLevel} : {hint: GameHint, step: number, selected: number, toggleSelection: any, lastLevel?: boolean}) {
   return <div className={`message warning step-${step}` + (step == selected ? ' selected' : '') + (lastLevel ? ' recent' : '')} onClick={toggleSelection}>
-    <Markdown>{hint.text}</Markdown>
+    <Markdown>{getHintText(hint)}</Markdown>
   </div>
 }
 
@@ -31,7 +49,7 @@ export function Hints({hints, showHidden, step, selected, toggleSelection, lastL
 
 export function DeletedHint({hint} : {hint: GameHint}) {
   return <div className="message information deleted-hint">
-    <Markdown>{hint.text}</Markdown>
+    <Markdown>{getHintText(hint)}</Markdown>
   </div>
 }
 
diff --git a/client/src/components/infoview/rpc_api.ts b/client/src/components/infoview/rpc_api.ts
index c499e93..3a6acba 100644
--- a/client/src/components/infoview/rpc_api.ts
+++ b/client/src/components/infoview/rpc_api.ts
@@ -49,6 +49,8 @@ export interface InteractiveTermGoal extends InteractiveGoalCore {
 export interface GameHint {
   text: string;
   hidden: boolean;
+  rawText: string;
+  varNames: string[][]; // in Lean: `Array (Name × Name)`
 }
 
 export interface InteractiveGoalWithHints {
diff --git a/server/GameServer/RpcHandlers.lean b/server/GameServer/RpcHandlers.lean
index 61d46c8..c815abf 100644
--- a/server/GameServer/RpcHandlers.lean
+++ b/server/GameServer/RpcHandlers.lean
@@ -121,14 +121,45 @@ def findHints (goal : MVarId) (m : DocumentMeta) (initParams : Lsp.InitializePar
       openAbstractCtxResult hint.goal fun hintFVars hintGoal => do
         if let some fvarBij := matchExpr (← instantiateMVars $ hintGoal) (← instantiateMVars $ ← inferType $ mkMVar goal)
         then
-          let lctx := (← goal.getDecl).lctx
-          if let some bij ← matchDecls hintFVars lctx.getFVars (strict := hint.strict) (initBij := fvarBij)
+
+          -- NOTE: This is a bit a hack of somebody who does not know how meta-programming works.
+          -- All we want here is a list of `userNames` for the `FVarId`s in `hintFVars`...
+          -- and we wrap them in `«{}»` here since I don't know how to do it later.
+          let mut hintFVarsNames : Array Expr := #[]
+          for fvar in hintFVars do
+            let name₁ ← fvar.fvarId!.getUserName
+            hintFVarsNames := hintFVarsNames.push <| Expr.fvar ⟨s!"«\{{name₁}}»"⟩
+
+          let lctx := (← goal.getDecl).lctx -- the player's local context
+          if let some bij ← matchDecls hintFVars lctx.getFVars
+            (strict := hint.strict) (initBij := fvarBij)
           then
             let userFVars := hintFVars.map fun v => bij.forward.findD v.fvarId! v.fvarId!
+            -- Evaluate the text in the player's context to get the new variable names.
             let text := (← evalHintMessage hint.text) (userFVars.map Expr.fvar)
             let ctx := {env := ← getEnv, mctx := ← getMCtx, lctx := lctx, opts := {}}
             let text ← (MessageData.withContext ctx text).toString
-            return some { text := text, hidden := hint.hidden }
+
+            -- Evaluate the text in the `Hint`'s context to get the old variable names.
+            let rawText := (← evalHintMessage hint.text) hintFVarsNames
+            let ctx₂ := {env := ← getEnv, mctx := ← getMCtx, lctx := ← getLCtx, opts := {}}
+            let rawText ← (MessageData.withContext ctx₂ rawText).toString
+
+            -- Here we map the goal's variable names to the player's variable names.
+            let mut varNames : Array <| Name × Name := #[]
+            for (fvar₁, fvar₂) in bij.forward.toArray do
+              -- get the `userName` of the fvar in the opened local context of the hint.
+              let name₁ ← fvar₁.getUserName
+              -- get the `userName` in the player's local context.
+              let name₂ := (lctx.get! fvar₂).userName
+              varNames := varNames.push (name₁, name₂)
+
+            return some {
+              text := text,
+              hidden := hint.hidden,
+              rawText := rawText,
+              varNames := varNames }
+
           else return none
         else
           return none
diff --git a/server/GameServer/Structures.lean b/server/GameServer/Structures.lean
index 7b27917..49ce187 100644
--- a/server/GameServer/Structures.lean
+++ b/server/GameServer/Structures.lean
@@ -54,8 +54,17 @@ deriving RpcEncodable
 
 /-- A hint in the game at the corresponding goal. -/
 structure GameHint where
+  /-- The text with the variable names already inserted.
+
+  Note: This is in theory superfluous and will be completely replaced by `rawText`. We just left
+  it in for debugging for now. -/
   text : String
+  /-- Flag whether the hint should be hidden initially. -/
   hidden : Bool
+  /-- The text with the variables not inserted yet. -/
+  rawText : String
+  /-- The assignment of variable names in the `rawText` to the ones the player used. -/
+  varNames : Array <| Name × Name
 deriving FromJson, ToJson
 
 /-- Bundled `InteractiveGoal` together with an array of hints that apply at this stage. -/