Theorems · Theorem · linear algebra
TensorPower.one_mul
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {n : ℕ}
(a : TensorPower R n M), (TensorPower.cast R M ⋯) (GradedMonoid.GMul.mul GradedMonoid.GOne.one a) = a- Defined in
- Mathlib.LinearAlgebra.TensorPower.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- TensorProductproof · cited by 2,545
- zero_addstatement and proof · cited by 2,366
- TensorProduct.tmulproof · cited by 1,182
- map_addproof · cited by 964
- DFunLikeproof · cited by 576
- map_smulproof · cited by 566
Cited by1
Results whose statement or proof uses this declaration.
- TensorPower.algebraMap₀_mulproof · cited by 1