Theorems · Theorem · linear algebra
TensorProduct.lid_tensor
∀ {R : Type u_1} [inst : CommSemiring R] {M : Type u_5} {N : Type u_6} [inst_1 : AddCommMonoid M]
[inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N],
TensorProduct.lid R (TensorProduct R M N) =
(TensorProduct.assoc R R M N).symm ≪≫ₗ LinearEquiv.rTensor N (TensorProduct.lid R M)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Quot.sound
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Cites13
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
- TensorProductstatement · cited by 2,545
- LinearEquiv.symmstatement · cited by 1,461
- LinearEquiv.transstatement · cited by 298
- TensorProduct.lidstatement · cited by 96
- TensorProduct.assocstatement · cited by 85
- LinearEquiv.rTensorstatement · cited by 34
- LinearEquiv.toLinearMap_injproof · cited by 14
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