Mathlib Map

Theorems · Theorem · commutative algebra

LinearEquiv.rTensor_refl

∀ {R : Type u_1} [inst : CommSemiring R] (M : Type u_7) (N : Type u_8) [inst_1 : AddCommMonoid M]
  [inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N],
  LinearEquiv.rTensor M (LinearEquiv.refl R N) = LinearEquiv.refl R (TensorProduct R N M)
Defined in
Mathlib.LinearAlgebra.TensorProduct.Map
Cited by
1 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringAddCommMonoidAddCommMonoidModuleModule
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LinearEquiv.rTensor_refl_apply · cited by 0LinearEquiv.rTensor_refl_…Module · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringLinearEquiv · cited by 3317LinearEquivTensorProduct · cited by 2545TensorProductLinearEquiv.refl · cited by 143LinearEquiv.reflLinearEquiv.rTensor · cited by 34LinearEquiv.rTensorTensorProduct.congr_refl_refl · cited by 4TensorProduct.congr_refl_…LinearEquiv.rTensor_reflCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.