Theorems · Theorem · real analysis

CurveIntegrable.intervalIntegrable_curveIntegralFun_trans_left

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {a b c : E} {ω : E → E →L[𝕜] F}
  {γab : Path a b},
  CurveIntegrable ω γab →
    ∀ (γbc : Path b c), IntervalIntegrable (curveIntegralFun ω (γab.trans γbc)) MeasureTheory.volume 0 (1 / 2)

Defined in

Mathlib.MeasureTheory.Integral.CurveIntegral.Basic

Cited by

2 results in Mathlib

Foundations

Depth 250 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace