SQL query where 2 or more records exist in second table

I have 3 tables and want to select all of the records in table 1 where ALL the records in table 2 join table 3 and are checked.

I know there is a way with a sub-query, but do not know what it is.

A simple who is taking what classes question.

I am using sqlite3 as the database.

Students table t1 (id int, name text)

id      name
------- ---------
1       Smith
2       Jones
3       Wilson
--------------------------------------------------

Classes table t2 (class int, student int)

class   student
------- ---------
1       1
1       2
1       3
2       1
2       2
3       1
3       3
4       2
4       3

Selected table t3 (t3class int, t3checked boolean)

t3Class t3Checked
------- ---------
1       false
2       false
3       true
4       true

Who is taking the classes

Class   Name
-----   --------
1,2 = Smith, Jones
1,3 = Smith, Wilson
1,4 = Jones, Wilson
1,2,4   = Jones
1,2,3,4 =