Let x0 of type ι be given.
Let x1 of type ι → ι → ο be given.
Assume H0: ∀ x2 x3 . x1 x2 x3 ⟶ x1 x3 x2.
Let x2 of type ι be given.
Let x3 of type ι be given.
Let x4 of type ι → ι be given.
Assume H4: ∀ x5 . x5 ∈ x3 ⟶ ∀ x6 . x6 ∈ x0 ⟶ x1 x6 x5 ⟶ x6 = x4 x5.
Assume H5: ∀ x5 . x5 ∈ x3 ⟶ ∀ x6 . x6 ∈ x3 ⟶ x4 x5 = x4 x6 ⟶ x5 = x6.
Apply unknownprop_86f1d37e675cf487e32bb79feb3c46b1ac4a0f3c9c2b3afb14df2374e659767e with
x0,
x1,
x2,
x3,
x4 leaving 5 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
The subproof is completed by applying H5.