Theorems · Theorem · general topology

nhdsKer_pair

∀ {X : Type u_3} {Y : Type u_4} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (x : X) (y : Y),
  nhdsKer {(x, y)} = nhdsKer {x} ×ˢ nhdsKer {y}

Defined in

Mathlib.Topology.NhdsKer

Cited by

1 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace