Theorems · Theorem · Lie groups

ContIntertwiningMap.mk_mapInvariants_apply

∀ {R : Type u_1} {G : Type u_2} {V : Type u_3} {W : Type u_4} [inst : Monoid G] [inst_1 : Ring R]
  [inst_2 : AddCommGroup V] [inst_3 : TopologicalSpace V] [inst_4 : IsTopologicalAddGroup V] [inst_5 : Module R V]
  [inst_6 : AddCommGroup W] [inst_7 : TopologicalSpace W] [inst_8 : IsTopologicalAddGroup W] [inst_9 : Module R W]
  {π : ContRepresentation R G V} {π' : ContRepresentation R G W} (f : ContIntertwiningMap π π') (v : V)
  (hv : v ∈ π.invariants), ↑(f.mapInvariants ⟨v, hv⟩) = f v

Defined in

Mathlib.RepresentationTheory.Continuous.Basic

Cited by

0 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidRingAddCommGroupTopologicalSpaceIsTopologicalAddGroupModuleAddCommGroupTopologicalSpaceIsTopologicalAddGroupModule