Theorems · Theorem · real analysis

curveIntegralFun_symm_apply

∀ {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 : E} (ω : E → E →L[𝕜] F)
  (γ : Path a b) (t : ℝ), curveIntegralFun ω γ.symm t = -curveIntegralFun ω γ (1 - t)

Defined in

Mathlib.MeasureTheory.Integral.CurveIntegral.Basic

Cited by

2 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace