Theorems · Definition · linear algebra
TensorPower.cast
(R : Type u_1) →
(M : Type u_2) →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → {i j : ℕ} → i = j → TensorPower R i M ≃ₗ[R] TensorPower R j MCast between "equal" tensor powers.
- Defined in
- Mathlib.LinearAlgebra.TensorPower.Basic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- finCongrproof · cited by 78
- TensorPowerstatement · cited by 40
- PiTensorProduct.reindexproof · cited by 21
Cited by14
Results whose statement or proof uses this declaration.
- TensorPower.cast_tprodstatement · cited by 4
- TensorPower.algebraMap₀_mulstatement and proof · cited by 1
- TensorPower.cast_reflstatement · cited by 1
- TensorPower.gradedMonoid_eq_of_caststatement and proof · cited by 1
- TensorPower.mul_onestatement and proof · cited by 1
- TensorPower.one_mulstatement and proof · cited by 1
- TensorPower.algebraMap₀_mul_algebraMap₀statement and proof · cited by 0
- TensorPower.cast.congr_simpstatement and proof · cited by 0
- TensorPower.cast_caststatement · cited by 0
- TensorPower.cast_eq_caststatement · cited by 0
- TensorPower.cast_symmstatement · cited by 0
- TensorPower.cast_transstatement · cited by 0