pullbackTopology_def — Mathlib

English

The pullback topology is equal to the induced infimum of topologies via the two projections in the pullback construction.

Русский

Топология pullback равна индуцированному инфимума топологий через две проекции в конструкции pullback.

LaTeX

$$$pullbackTopology\ F\ E\ f = \mathrm{inf}_{\text{top}}(\mathrm{induced}\,\pi,\ \mathrm{induced}\,\mathrm{Pullback.lift})$$$

Lean4

theorem pullbackTopology_def : eta_helper Eq✝ @pullbackTopology.{} @(delta% @definition✝) :=
  by
  intros
  delta pullbackTopology
  rw [show wrapped✝ = ⟨@definition✝.{}, rfl✝⟩ from Subtype.ext✝ wrapped✝.2.symm✝]
  rfl

Похожие утверждения