Check if an option matches all the value in a list

Question

I have two tables in MySQL, products and product_options. A product can have more than an option type.

Table product:

id	name
1	Croissant
2	Croissant Medium
3	Coffee

Table product_options:

id	type	value	productId
1	weight	40	1
2	weight	60	2
3	weight	6	3
4	size	small	3

As you can see, all the products have the option type weight set, while the option type size is set only for the product with id 3.
I'm trying to have a query only, that returns if a product option is set for all the products.

I'm expecting as result a mysqli object with a boolean for each product option type, to flag if the product option type is set for all the products.

In the example case should be:

optionType	allProductsHaveIt
weight	true
size	false