Theorems · Theorem · commutative algebra
Subalgebra.comm_trans_lTensorBot
∀ {R : Type u_1} {S : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S]
(A : Subalgebra R S), (Algebra.TensorProduct.comm R ↥A ↥⊥).trans A.lTensorBot = A.rTensorBot- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Bot.botstatement and proof · cited by 4,720
- TensorProductstatement · cited by 2,545
- AlgEquivstatement · cited by 1,681
- Subalgebrastatement and proof · cited by 1,353
- Subalgebra.toSubmoduleproof · cited by 141
- AlgEquiv.transstatement and proof · cited by 108
- Algebra.TensorProduct.commstatement and proof · cited by 38
- Subalgebra.rTensorBotstatement and proof · cited by 6
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