Mathlib Map

Theorems · Theorem · linear algebra

LinearMap.baseChange_id

∀ {R : Type u_1} {A : Type u_2} {M : Type u_4} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [inst_3 : AddCommMonoid M] [inst_4 : Module R M], LinearMap.baseChange A LinearMap.id = LinearMap.id
Defined in
Mathlib.LinearAlgebra.TensorProduct.Tower
Cited by
3 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringSemiringAlgebraAddCommMonoidModule
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LinearEquiv.baseChange_one · cited by 2LinearEquiv.baseChange_oneLinearMap.baseChange_one · cited by 0LinearMap.baseChange_oneModuleCat.ExtendScalars.map'_id · cited by 0ExtendScalars.map'_idDFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapTensorProduct · cited by 2545TensorProductTensorProduct.tmul · cited by 1182TensorProduct.tmulLinearMap.ext · cited by 844LinearMap.extLinearMap.id · cited by 625LinearMap.idTensorProduct.AlgebraTensorModule.curry_injective · cited by 159AlgebraTensorModule.curry…LinearMap.ext_ring · cited by 152LinearMap.ext_ringTensorProduct.AlgebraTensorModule.curry_apply · cited by 121AlgebraTensorModule.curry…LinearMap.baseChange_idCITED BYCITES

Cites16

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

Cited by3

Results whose statement or proof uses this declaration.