Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H0: x0 ⊆ x1.
Assume H1: x1 ⊆ x2.
Let x3 of type ι be given.
Assume H2: x3 ∈ x0.
Apply H1 with
x3.
Apply H0 with
x3.
The subproof is completed by applying H2.