React private route is not redirecting - reactjs

Question

I got headache trying to figure out why private route is not redirecting to the path I've setting up. I think a miss something but I don't know what.
Did someone help me figure out ?
here is my private route component :
import React, {useContext} from 'react';
import {Route, Redirect} from 'react-router-dom';
import AuthContext from '../../context/auth/Authcontext';
const PrivateRoute = ({component: Component, ...rest}) => {
const authContext = useContext(AuthContext);
const {isAuthenticated, loading} = authContext;
return (
<Route
{...rest}
render={props =>
!isAuthenticated && !loading ? (
<Redirect to='/pagelist' />
) : (
<Component {...props} />
)
}
/>
);
};
export default PrivateRoute;
I'm using context to handle all the authentification part.What I'm trying to do is if you are not logging you can't access the the dashboard.
here is my App.js :
import React, {Fragment, Component} from 'react';
import {BrowserRouter as Router, Route, Switch} from 'react-router-dom';
import Navbar from './components/layouts/Navbar';
import Dashboard from './components/pages/Dashboard';
import Register from './components/auth/Register';
import Login from './components/auth/Login';
import PrivateRoute from './components/routing/PrivateRoute';
import AuthState from './context/auth/AuthState';
import AlertState from './context/alert/AlertState';
import setAuthToken from './utils/setAuthToken';
if (localStorage.token) {
setAuthToken(localStorage.token);
}
const App = () => {
return (
<AuthState>
<AlertState>
<Router>
<Fragment>
<Navbar />
<div className='container'>
<Alerts />
<Switch>
<PrivateRoute exact path='/' component={Dashboard} />
<Route exact path='/register' component={Register} />
<Route exact path='/login' component={Login} />
</Switch>
</div>
</Fragment>
</Router>
</AlertState>
</AuthState>
);
};
export default App;
I think I did everything correctly because when I'm watching in my console, current user are not authenticated but the dashboard is still accessible. Did I miss something ?