Let x0 of type ι be given.
Apply H0 with
struct_c x0.
Assume H2:
unpack_c_o x0 (λ x1 . λ x2 : (ι → ο) → ο . and (and (x2 (λ x3 . x3 ∈ x1)) (∀ x3 x4 : ι → ο . x2 x3 ⟶ x2 x4 ⟶ x2 (λ x5 . and (x3 x5) (x3 x5)))) (∀ x3 : (ι → ο) → ο . (∀ x4 : ι → ο . x3 x4 ⟶ x2 x4) ⟶ x2 (λ x4 . ∃ x5 : ι → ο . and (x3 x5) (x5 x4)))).
The subproof is completed by applying H1.
Apply unknownprop_c43bbf00058fbe34f3ecc7b49a3531eeda4c0acfd8a791089e308c67a98989de with
Topology_buggy.
The subproof is completed by applying L0.