Theorems · Theorem · functional analysis

RKHS.coe_add

∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {X : Type u_2} {V : Type u_3} [inst_1 : NormedAddCommGroup V]
  [inst_2 : InnerProductSpace 𝕜 V] {H : Type u_4} [inst_3 : NormedAddCommGroup H] [inst_4 : InnerProductSpace 𝕜 H]
  [inst_5 : RKHS 𝕜 H X V] (f g : H), ⇑(f + g) = ⇑f + ⇑g

Defined in

Mathlib.Analysis.InnerProductSpace.Reproducing

Cited by

0 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceNormedAddCommGroupInnerProductSpaceRKHS