∀ {B : Type u_2} {F : Type u_1} {Z : Type u_3} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] {proj : Z → B}
  (e : Bundle.Pretrivialization F proj) (s : Set B),
  ∀ z ∈ Subtype.val ⁻¹' e.source, (⟨proj ↑z, ⋯⟩, (↑e ↑z).2) ∈ Prod.map Subtype.val id ⁻¹' e.target