check if a user has a post type "edit" capability without knowing the name of that capability

get_post_type_edit_cap.php

<?php

function get_post_type_edit_capability( $post_type = 'post' ) {
	$post_type_obj = get_post_type_object( $post_type );
	
	return $post_type_obj->cap->edit_posts;
}

/**
 * Usage example:
 */
$cap = get_post_type_edit_capability( $post->post_type );

if ( current_user_can( $cap ) {
	// do stuff
}