Let x0 of type ι be given.
Let x1 of type ι → ι be given.
Let x2 of type ι → ι be given.
Assume H0: ∀ x3 . x3 ∈ x0 ⟶ x1 x3 = x2 x3.
Apply set_ext with
{x1 x3|x3 ∈ x0},
{x2 x3|x3 ∈ x0} leaving 2 subgoals.
Apply ReplEq_ext_sub with
x0,
x1,
x2.
The subproof is completed by applying H0.
Apply ReplEq_ext_sub with
x0,
x2,
x1.
Let x3 of type ι be given.
Assume H1: x3 ∈ x0.
Let x4 of type ι → ι → ο be given.
Apply H0 with
x3,
λ x5 x6 . x4 x6 x5.
The subproof is completed by applying H1.