Let x0 of type ι be given.
Let x1 of type ι → ι → ο be given.
Assume H0: ∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 x3 ⟶ x1 x3 x2.
Let x2 of type ι be given.
Assume H1: x2 ∈ x0.
Let x3 of type ι be given.
Assume H2: x3 ∈ x0.
Let x4 of type ι be given.
Assume H3: x4 ∈ x0.
Let x5 of type ι be given.
Assume H4: x5 ∈ x0.
Let x6 of type ι be given.
Assume H5: x6 ∈ x0.
Assume H6:
62523.. x1 x2 x3 x4 x5 x6.
Apply unknownprop_5bd5472854adf8bbeb4a650afa0fb4376d15d52e267e7c2ecbe7f75b63528b0a with
x0,
x1,
x2,
x3,
x4,
x6,
x5 leaving 7 subgoals.
The subproof is completed by applying H0.
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 H5.
The subproof is completed by applying H4.
Apply unknownprop_b8a8ef2fcdc2a21877c2aae2c6218591228bef7511f074e2ad1b24cca4c93f0f with
x0,
x1,
x2,
x3,
x4,
x5,
x6 leaving 7 subgoals.
The subproof is completed by applying H0.
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.
The subproof is completed by applying H6.