Theorems · Theorem · commutative algebra

IsLinearTopology.hasBasis_open_submodule

∀ (R : Type u_1) {M : Type u_3} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  [inst_3 : TopologicalSpace M] [ContinuousAdd M] [IsLinearTopology R M],
  (nhds 0).HasBasis (fun N => IsOpen ↑N) fun N => ↑N

Defined in

Mathlib.Topology.Algebra.LinearTopology

Cited by

2 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceContinuousAddIsLinearTopology