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 (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)))) (∀ x3 . x3 ∈ x1 ⟶ ∀ x4 . x4 ∈ x1 ⟶ (x3 = x4 ⟶ ∀ x5 : ο . x5) ⟶ ∃ x5 x6 : ι → ο . and (and (and (and (x2 x5) (x2 x6)) (x5 x3)) (x6 x4)) (∀ x7 . x5 x7 ⟶ not (x6 x7)))).
The subproof is completed by applying H1.
Apply unknownprop_a1cc131d97c1cb4ea1bea720376dc4603c3356b62894acb7a7ad88a6d0c56407 with
Hausdorff_Topology_buggy.
The subproof is completed by applying L0.