Theorems · Theorem · measure theory

TopologicalGroup.IsSES.pullback_def

∀ {A : Type u_1} {B : Type u_2} {C : Type u_3} {E : Type u_4} [inst : Group A] [inst_1 : Group B] [inst_2 : Group C]
  [inst_3 : TopologicalSpace A] [inst_4 : TopologicalSpace B] [inst_5 : TopologicalSpace C] {φ : A →* B} {ψ : B →* C}
  (H : TopologicalGroup.IsSES φ ψ) [inst_6 : IsTopologicalGroup A] [inst_7 : IsTopologicalGroup B]
  [inst_8 : NormedAddCommGroup E] (f : CompactlySupportedContinuousMap B E) (b : B) (a : A),
  (H.pullback f b) a = f (b * φ a)

Defined in

Mathlib.MeasureTheory.Measure.Haar.Extension

Cited by

2 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupGroupGroupTopologicalSpaceTopologicalSpaceTopologicalSpaceIsTopologicalGroupIsTopologicalGroupNormedAddCommGroup