Theorems · Theorem · measure theory

MeasureTheory.Lp.simpleFunc.indicatorConst.congr_simp

∀ {α : Type u_1} {E : Type u_4} [inst : MeasurableSpace α] [inst_1 : NormedAddCommGroup E] (p : ENNReal)
  {μ : MeasureTheory.Measure α} {s s_1 : Set α} (e_s : s = s_1) (hs : MeasurableSet s) (hμs : μ s ≠ ⊤) (c c_1 : E),
  c = c_1 → MeasureTheory.Lp.simpleFunc.indicatorConst p hs hμs c = MeasureTheory.Lp.simpleFunc.indicatorConst p ⋯ ⋯ c_1

Defined in

Mathlib.MeasureTheory.Function.SimpleFuncDenseLp

Cited by

0 results in Mathlib

Foundations

Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceNormedAddCommGroup