HTML5 required attribute one of two fields

Based on Andy's answer, but I needed a checkbox implementation & came up with this.

what role(s) do you want?
<input type="checkbox" data-manyselect="roler" name="author" required>
<input type="checkbox" data-manyselect="roler" name="coder" required>
<input type="checkbox" data-manyselect="roler" name="teacher" required>

where will you work?
<input type="checkbox" data-manyselect="placement" name="library" required>
<input type="checkbox" data-manyselect="placement" name="home" required>
<input type="checkbox" data-manyselect="placement" name="office" required>

jQuery(function ($) {
    // get anything with the data-manyselect
    // you don't even have to name your group if only one group
    var $group = $("[data-manyselect]");

    $group.on('input', function () {
        var group = $(this).data('manyselect');
        // set required property of other inputs in group to false
        var allInGroup = $('*[data-manyselect="'+group+'"]');
        // Set the required property of the other input to false if this input is not empty.
        var oneSet = true;
        $(allInGroup).each(function(){
            if ($(this).prop('checked'))
                oneSet = false;
        });
        $(allInGroup).prop('required', oneSet)
    });
});

Here for anyone else getting here by googling and wanting a quick solution for one of many checkboxes.

Update 2020-06-21 (ES6):

Given that jQuery has become somewhat unfashionable in the JavaScript world and that ES6 provides some nice syntactic sugar, I have written a pure JS equivalent to the original answer:

document.addEventListener('DOMContentLoaded', function() {
  const inputs = Array.from(
    document.querySelectorAll('input[name=telephone], input[name=mobile]')
  );

  const inputListener = e => {
    inputs
      .filter(i => i !== e.target)
      .forEach(i => (i.required = !e.target.value.length));
  };

  inputs.forEach(i => i.addEventListener('input', inputListener));
});

<form method="post">
  Telephone:
  <input type="tel" name="telephone" value="" required>
  <br>Mobile:
  <input type="tel" name="mobile" value="" required>
  <br>
  <input type="submit" value="Submit">
</form>

This uses the input event on both inputs, and when one is not empty it sets the required property of the other input to false.

Original Answer (jQuery):

I played around with some ideas and now have a working solution for this problem using jQuery:

jQuery(function ($) {
    var $inputs = $('input[name=telephone],input[name=mobile]');
    $inputs.on('input', function () {
        // Set the required property of the other input to false if this input is not empty.
        $inputs.not(this).prop('required', !$(this).val().length);
    });
});

I've written a jQuery plugin wrapping the above JavaScript code so that it can be used on multiple groups of elements.