Theorems · Theorem · linear algebra

MultilinearMap.ext

∀ {R : Type uR} {ι : Type uι} {M₁ : ι → Type v₁} {M₂ : Type v₂} [inst : Semiring R]
  [inst_1 : (i : ι) → AddCommMonoid (M₁ i)] [inst_2 : AddCommMonoid M₂] [inst_3 : (i : ι) → Module R (M₁ i)]
  [inst_4 : Module R M₂] {f f' : MultilinearMap R M₁ M₂}, (∀ (x : (i : ι) → M₁ i), f x = f' x) → f = f'

Defined in

Mathlib.LinearAlgebra.Multilinear.Basic

Cited by

60 results in Mathlib

Foundations

Depth 13 from the axioms · uses Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModule