Theorems · Theorem · ring theory
TensorAlgebra.ofDirectSum_comp_toDirectSum
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M],
TensorAlgebra.ofDirectSum.comp TensorAlgebra.toDirectSum = AlgHom.id R (TensorAlgebra R M)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- mul_oneproof · cited by 3,885
- AlgHomstatement · cited by 3,236
- LinearMap.extproof · cited by 844
- AlgHom.compstatement · cited by 501
- DirectSumstatement · cited by 446
- AlgHom.idstatement · cited by 196
- TensorAlgebrastatement · cited by 81
- TensorAlgebra.ιproof · cited by 42
Cited by2
Results whose statement or proof uses this declaration.
- TensorAlgebra.equivDirectSumproof · cited by 2
- TensorAlgebra.ofDirectSum_toDirectSumproof · cited by 0