Theorems · Theorem · commutative algebra
Algebra.TensorProduct.algEquivIncludeRange_tmul
∀ (R : Type u_1) (S : Type u_2) (T : Type u_3) [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S]
[inst_3 : Semiring T] [inst_4 : Algebra R T] (x : S) (y : T),
(Algebra.TensorProduct.algEquivIncludeRange R S T) (x ⊗ₜ[R] y) =
Algebra.TensorProduct.includeLeft.rangeRestrict x ⊗ₜ[R] Algebra.TensorProduct.includeRight.rangeRestrict y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- TensorProductstatement · cited by 2,545
- AlgEquivstatement · cited by 1,681
- Subalgebrastatement · cited by 1,353
- TensorProduct.tmulstatement · cited by 1,182
- AlgHom.rangestatement · cited by 169
- Algebra.TensorProduct.includeRightstatement · cited by 165
- Algebra.TensorProduct.includeLeftstatement · cited by 72
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