Theorems · Theorem · measure theory

TopologicalAddGroup.IsSES.pullback_def

∀ {A : Type u_1} {B : Type u_2} {C : Type u_3} {E : Type u_4} [inst : AddGroup A] [inst_1 : AddGroup B]
  [inst_2 : AddGroup C] [inst_3 : TopologicalSpace A] [inst_4 : TopologicalSpace B] [inst_5 : TopologicalSpace C]
  {φ : A →+ B} {ψ : B →+ C} (H : TopologicalAddGroup.IsSES φ ψ) [inst_6 : IsTopologicalAddGroup A]
  [inst_7 : IsTopologicalAddGroup 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

AddGroupAddGroupAddGroupTopologicalSpaceTopologicalSpaceTopologicalSpaceIsTopologicalAddGroupIsTopologicalAddGroupNormedAddCommGroup