eq_inducedTopology_of_isDenseSubsite

English

If a subsite is dense with respect to an equivalence, the induced topologies coincide.

Русский

Если под사이트 плотный относительно эквивалентности, индуцированные топологии совпадают.

LaTeX

$$$K = e.inverse.inducedTopology J$ under IsDenseSubsite$$

Lean4

theorem eq_inducedTopology_of_isDenseSubsite [e.inverse.IsDenseSubsite K J] : K = e.inverse.inducedTopology J :=
  by
  ext
  exact (e.inverse.functorPushforward_mem_iff K J).symm

Похожие утверждения