Theorems · Theorem · linear algebra

PiTensorProduct.lift.tprod

∀ {ι : Type u_1} {R : Type u_4} [inst : CommSemiring R] {s : ι → Type u_7} [inst_1 : (i : ι) → AddCommMonoid (s i)]
  [inst_2 : (i : ι) → Module R (s i)] {E : Type u_9} [inst_3 : AddCommMonoid E] [inst_4 : Module R E]
  {φ : MultilinearMap R s E} (f : (i : ι) → s i), (PiTensorProduct.lift φ) ((PiTensorProduct.tprod R) f) = φ f

Defined in

Mathlib.LinearAlgebra.PiTensorProduct.Basic

Cited by

25 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModule