Theorems · Theorem · Lie groups

ContRepresentation.restrict_apply_apply

∀ {R : Type u_1} {G : Type u_2} {V : Type u_3} [inst : Monoid G] [inst_1 : Ring R] [inst_2 : AddCommGroup V]
  [inst_3 : TopologicalSpace V] [inst_4 : IsTopologicalAddGroup V] [inst_5 : Module R V] {H : Type u_6}
  [inst_6 : Monoid H] (π : ContRepresentation R G V) (φ : H →* G) (h : H) (v : V), ((π.restrict φ) h) v = (π (φ h)) v

Defined in

Mathlib.RepresentationTheory.Continuous.Basic

Cited by

0 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidRingAddCommGroupTopologicalSpaceIsTopologicalAddGroupModuleMonoid