PowerShell ValidateSet on Boolean Parameter

I am attempting to use ValidateSet with a boolean parameter however I cannot get it to function as expect.

An example to replicate the issue:

function Set-Boolean
{
    [CmdletBinding()]
    [OutputType([Bool])]
    Param
    (
        [Parameter(Mandatory=$true, Position=0)]
        [ValidateNotNullOrEmpty()]
        [ValidateSet($false,$true)]
        [Bool] $Bool
    )

    Process
    {
        $Bool
    }
}

At run time PowerShell expands the $true and $false variables upon tab completion to True and False respectively however this then cause the parameter validation to fail as only $true, $false, 1 and 0 are valid boolean types.

I tried changing ValidateSet to [ValidateSet('$false','$true')] and the tab completion works as expected however the parameter validation still fails as the parameter is expecting the strings '$false' and '$true'.

I could change ValidateSet to [ValidateSet([bool]0,[bool]1)] and have it function as I expect but I find 0 and 1 a poorer user experience over $true and $false for completion of a boolean parameter.

The expected output of the function should be True when $true is chosen and False when $false is chosen.

I have implemented a workaround in my code but I want to know how I can use ValidateSet with a boolean parameter, if it is possible, to enable the use of tab completion for the user.

You can use ValidateSet for autocompletion without specifying the input variable type. Though, you cannot use 0 and 1 as input in this case:

function Set-Boolean
{
    [CmdletBinding()]
    [OutputType([Bool])]
    Param
    (
        [Parameter(Mandatory=$true, Position=0)]
        [ValidateNotNullOrEmpty()]
        [ValidateSet($false,$true)]
        $Bool
    )

    Process
    {
        [System.Convert]::ToBoolean($Bool)
    }
}