The spec mentions:
Each type T has an underlying type: If T is one of the predeclared boolean, numeric, or string types, or a type literal, the corresponding underlying type is T itself.
Otherwise, T's underlying type is the underlying type of the type to which T refers in its type declaration.
T2 refers in its type declaration to T1, which has the underlying type string.
It is important for the underlying type of T2 to be string, because it will help for Assignability where
A value x is assignable to a variable of type T ("x is assignable to T")
x's type V and T have identical underlying types and at least one of V or T is not a named type.
This is also detailed in "Golang: Why can I type alias functions and use them without casting?"
When it comes to the underlying type of T4, we are talking about an underlying unnamed type []T1.
And again, the assignability rule says you can assign []T1 to T4 (since []T1 is not a named type): its underlying type stops at the first not-named type ([]T1).
See this example on playground
var t3 T3 = []T1{"a", "b"}
fmt.Println("t3='%+v'", t3)
// var t4 T4 = []string{}
// cannot use []string literal (type []string) as type T4 in assignment
var t4 T4 = T4(t3)
fmt.Println("t4='%+v'", t4)
t4 = []T1{T1("c"), T1("d")}
fmt.Println("t4='%+v'", t4)
Output:
t3='%+v' [a b]
t4='%+v' [a b]
t4='%+v' [c d]
Danny Rivers adds in the comments:
Why is the underlying type of T4 equal to []T1, not []string?
The underlying type of T4 is defined to be the underlying of T3, which is underlying ([]T1), and since []T1 is a type literal, that is as far down as it goes.
The language of the spec makes it easy to miss that TYPE LITERALS, not just pre-declared types, count as an underlying type.