Theorems · Theorem · commutative algebra

IsLinearTopology.hasBasis_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] [IsLinearTopology R M], (nhds 0).HasBasis (fun N => ↑N ∈ nhds 0) fun N => ↑N

Defined in

Mathlib.Topology.Algebra.LinearTopology

Cited by

7 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceIsLinearTopology