Theorems · Theorem · functional analysis

AddMonoidHom.extension.congr_simp

∀ {α : Type u_3} {β : Type u_4} [inst : UniformSpace α] [inst_1 : AddGroup α] [inst_2 : IsUniformAddGroup α]
  [inst_3 : UniformSpace β] [inst_4 : AddGroup β] [inst_5 : IsUniformAddGroup β] [inst_6 : CompleteSpace β]
  [inst_7 : T0Space β] (f f_1 : α →+ β) (e_f : f = f_1) (hf : Continuous ⇑f), f.extension hf = f_1.extension ⋯

Defined in

Mathlib.Topology.Algebra.LinearMapCompletion

Cited by

0 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceAddGroupIsUniformAddGroupUniformSpaceAddGroupIsUniformAddGroupCompleteSpaceT0Space