Theorems · Theorem · functional analysis

ContinuousLinearMap.isTopCompl_of_proj

∀ {R : Type u_1} [inst : Ring R] {M : Type u_2} [inst_1 : TopologicalSpace M] [inst_2 : AddCommGroup M]
  [inst_3 : Module R M] {p : Submodule R M} {f : M →L[R] ↥p}, (∀ (x : ↥p), f ↑x = x) → Submodule.IsTopCompl p (↑f).ker

Defined in

Mathlib.Topology.Algebra.Module.Complement

Cited by

2 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingTopologicalSpaceAddCommGroupModule