Theorems · Theorem · linear algebra

MultilinearMap.map_insertNth_smul

∀ {R : Type uR} {n : ℕ} {M : Fin n.succ → Type v} {M₂ : Type v₂} [inst : Semiring R]
  [inst_1 : (i : Fin n.succ) → AddCommMonoid (M i)] [inst_2 : AddCommMonoid M₂]
  [inst_3 : (i : Fin n.succ) → Module R (M i)] [inst_4 : Module R M₂] (f : MultilinearMap R M M₂) (p : Fin (n + 1))
  (m : (i : Fin n) → M (p.succAbove i)) (c : R) (x : M p), f (p.insertNth (c • x) m) = c • f (p.insertNth x m)

Defined in

Mathlib.LinearAlgebra.Multilinear.Basic

Cited by

0 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModule