Theorems · Theorem · functional analysis

ContinuousLinearMap.isComplete_ker

∀ {R₁ : Type u_1} {R₂ : Type u_2} [inst : Semiring R₁] [inst_1 : Semiring R₂] {σ₁₂ : R₁ →+* R₂} {M₂ : Type u_6}
  [inst_2 : TopologicalSpace M₂] [inst_3 : AddCommMonoid M₂] [inst_4 : Module R₂ M₂] {M' : Type u_9}
  [inst_5 : UniformSpace M'] [CompleteSpace M'] [inst_7 : AddCommMonoid M'] [inst_8 : Module R₁ M'] [T1Space M₂]
  (f : M' →SL[σ₁₂] M₂), IsComplete ↑(↑f).ker

Defined in

Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Basic

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringTopologicalSpaceAddCommMonoidModuleUniformSpaceCompleteSpaceAddCommMonoidModuleT1Space