Theorems · Theorem · linear algebra
TensorPower.gMul_def
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {i j : ℕ}
(a : TensorPower R i M) (b : TensorPower R j M), GradedMonoid.GMul.mul a b = TensorPower.mulEquiv (a ⊗ₜ[R] b)- Defined in
- Mathlib.LinearAlgebra.TensorPower.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearEquivstatement · cited by 3,317
- TensorProductstatement · cited by 2,545
- TensorProduct.tmulstatement · cited by 1,182
- GradedMonoid.GMul.mulstatement · cited by 45
- TensorPowerstatement and proof · cited by 40
- TensorPower.mulEquivstatement · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- TensorPower.mul_oneproof · cited by 1
- TensorPower.one_mulproof · cited by 1