toTopologicalSpace_inf — Mathlib

English

Infimum of two group topologies corresponds to the infimum of their underlying topologies.

Русский

Infimum двух топологий группы соответствует инфимуму их оснований.

LaTeX

$$$(x \\inf y).toTopologicalSpace = x.toTopologicalSpace \\inf y.toTopologicalSpace$$$

Lean4

@[to_additive (attr := simp)]
theorem toTopologicalSpace_inf (x y : GroupTopology α) :
    (x ⊓ y).toTopologicalSpace = x.toTopologicalSpace ⊓ y.toTopologicalSpace :=
  rfl

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