<Window.Resources>
        <myNs:FreezableProxy x:Key="FreezableProxy" Data="{Binding}"/>
        <FrameworkElement x:Key="FrameworkElement"/>
    </Window.Resources>
        
    <Grid Margin="10">
        <Grid.RowDefinitions>
            <RowDefinition></RowDefinition>
            <RowDefinition></RowDefinition>
        </Grid.RowDefinitions>
        <DataGrid AutoGenerateColumns="False">
            <DataGrid.Columns>
                <DataGridTextColumn Header="Name"/>
                <DataGridTextColumn Header="Type" 
                                    Visibility="{Binding Data.IsPartnerColumnVisible, Source={StaticResource FreezableProxy}}"/>
                <DataGridTextColumn Header="Number" 
                                    Visibility="{Binding DataContext.IsPartnerColumnVisible, Source={StaticResource FrameworkElement}}"/>
    
            </DataGrid.Columns>
        </DataGrid>
        <ContentControl Grid.Row="1" Content="{StaticResource FrameworkElement}" Visibility="Collapsed"></ContentControl>
    
    </Grid>

public class FreezableProxy : Freezable
    {
        protected override Freezable CreateInstanceCore()
        {
            return new FreezableProxy();
        }
    
        public object Data
        {
            get { return (object)GetValue(DataProperty); }
            set { SetValue(DataProperty, value); }
        }
    
        public static readonly DependencyProperty DataProperty =
            DependencyProperty.Register("Data", typeof(object),
                                            typeof(FreezableProxy));
    }

    public partial class MainWindow : INotifyPropertyChanged
    {
        private Visibility _isPartnerColumnVisible = Visibility.Hidden;
        public Visibility IsPartnerColumnVisible
        {
            get
            {
                return _isPartnerColumnVisible;
            }
            set
            {
                _isPartnerColumnVisible = value;
                RaisePropertyChanged("IsPartnerColumnVisible");
            }
        }
    
        public event PropertyChangedEventHandler PropertyChanged;
        void RaisePropertyChanged(String prop)
        {
            if (PropertyChanged != null)
                PropertyChanged(this, new PropertyChangedEventArgs(prop));
        }
    
        public MainWindow()
        {
            InitializeComponent();
            DataContext = this;
        }
    }

Binding DataContext.IsPartnerColumnVisible

<FrameworkElement x:Key="FrameworkElement" DataContext="{Binding}"/>