Theorems · Theorem · ring theory

TensorAlgebra.mk_reindex_cast

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {n m : ℕ}
  (h : n = m) (x : TensorPower R n M),
  GradedMonoid.mk m ((PiTensorProduct.reindex R (fun x => M) (Equiv.cast ⋯)) x) = GradedMonoid.mk n x

Defined in

Mathlib.LinearAlgebra.TensorAlgebra.ToTensorPower

Cited by

1 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModule