Let x0 of type ι → ο be given.
Let x1 of type ι → ο be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Assume H1: x3 ∈ x2.
Let x4 of type ι be given.
Assume H3: x4 ∈ x3.
Apply H2 with
x4.
Apply H0 with
x4 ∈ x2.
Assume H5:
∀ x5 . x5 ∈ x2 ⟶ TransSet x5.
Apply H4 with
x3,
x4 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H3.