Theorems · Definition · several complex variables

FormalMultilinearSeries.changeOrigin

{𝕜 : Type u_1} →
  {E : Type u_2} →
    {F : Type u_3} →
      [inst : NontriviallyNormedField 𝕜] →
        [inst_1 : NormedAddCommGroup E] →
          [inst_2 : NormedSpace 𝕜 E] →
            [inst_3 : NormedAddCommGroup F] →
              [inst_4 : NormedSpace 𝕜 F] → FormalMultilinearSeries 𝕜 E F → E → FormalMultilinearSeries 𝕜 E F

Changing the origin of a formal multilinear series p, so that p.sum (x+y) = (p.changeOrigin x).sum y when this makes sense.

Defined in

Mathlib.Analysis.Analytic.ChangeOrigin

Cited by

27 results in Mathlib

Foundations

Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace