Theorems · Theorem · linear algebra

LinearMap.curryMid_uncurryMid

∀ {R : Type uR} {n : ℕ} {M : Fin n.succ → Type v} {M₂ : Type v₂} [inst : CommSemiring 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] (i : Fin (n + 1))
  (f : M i →ₗ[R] MultilinearMap R (fun j => M (i.succAbove j)) M₂),
  MultilinearMap.curryMid i (LinearMap.uncurryMid i f) = f

Defined in

Mathlib.LinearAlgebra.Multilinear.Curry

Cited by

0 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidModuleModule