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Theorems · Theorem · commutative algebra

LinearMap.lTensor_neg

∀ {R : Type u_1} [inst : CommSemiring R] {M : Type u_2} {N : Type u_3} {P : Type u_4} [inst_1 : AddCommGroup M]
  [inst_2 : AddCommMonoid N] [inst_3 : AddCommGroup P] [inst_4 : Module R M] [inst_5 : Module R N] [inst_6 : Module R P]
  (f : N →ₗ[R] P), LinearMap.lTensor M (-f) = -LinearMap.lTensor M f
Defined in
Mathlib.LinearAlgebra.TensorProduct.Map
Cited by
1 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringAddCommGroupAddCommMonoidAddCommGroupModuleModuleModule
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Around this declaration

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ContinuousLinearMap.lTensor_neg · cited by 0ContinuousLinearMap.lTens…Module · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommGroup · cited by 12871AddCommGroupAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapTensorProduct · cited by 2545TensorProductLinearMap.lTensor · cited by 203LinearMap.lTensorLinearMap.map_neg · cited by 10LinearMap.map_negLinearMap.lTensorHom · cited by 6LinearMap.lTensorHomLinearMap.lTensor_negCITED BYCITES

Cites10

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