Dynamically setting DatePickerSingle min date

I am working on dashboard that use a dropdown to select a csv file, and I want to use the min date from the csv file to DatePickerSingle min date, here is how I set the callback (just to give an idea)

app.layout = html.Div([
       html.Div(dcc.Dropdown(id='file_select)),
       html.Div(dcc.DatePickerSingle(id='date_select'))
])

@app.callback(Output('date_select', 'min_date_allowed'),
                        [Input('file_select', 'value')])
def update_picker(path):
      df = pd.read_csv(path, parse_dates=['date'])
     return df.date.min().to_pydatetime()

but I found with the above code, I am not able to update the date picker. Can someone help me figure out what I have done wrong?

The code works fine for me and updates the min date allowed (except you missed a ' in id='file_select).

Thank you! I realize what I want is to have the date picker to display the month of the minimum date of the csv, so that I can select a date that is in the csv file later. After a bit of fiddle,here is want I came up with:

import flask
import dash
from dash.dependencies import Input, Output
import dash_core_components as dcc
import dash_html_components as html
import pandas as pd
from datetime import datetime as dt

server = flask.Flask(__name__)
app = dash.Dash(__name__, server=server)
app.config['suppress_callback_exceptions'] = True

app.layout = html.Div([
    html.Div(
        dcc.Dropdown(
            id='file_select',
            options=[{'label':i, 'value':i} for i in range(10)])
    ),
    html.Div(
        dcc.DatePickerSingle(
            id='date_select',
            min_date_allowed=dt(2017, 1, 1),
            max_date_allowed=dt.now()
        )
    )
])

@app.callback(Output('date_select', 'initial_visible_month'),
              [Input('file_select', 'value')])
def update_picker(path):
    df = pd.DataFrame().assign(date = pd.date_range(dt(2018,2,1), periods=10))
    return df.date.min().to_pydatetime()

app.run_server()