Theorems · Theorem · ring theory
TensorAlgebra.ofDirectSum_toDirectSum
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(x : TensorAlgebra R M), TensorAlgebra.ofDirectSum (TensorAlgebra.toDirectSum x) = x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- AlgHomstatement · cited by 3,236
- DirectSumstatement · cited by 446
- TensorAlgebrastatement and proof · cited by 81
- TensorPowerstatement · cited by 40
- AlgHom.congr_funproof · cited by 40
- TensorAlgebra.toDirectSumstatement · cited by 7
- TensorAlgebra.ofDirectSumstatement · cited by 6
- TensorAlgebra.ofDirectSum_comp_toDirectSumproof · cited by 1
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