Theorems · Theorem · commutative algebra
Subalgebra.rTensorBot_tmul
∀ {R : Type u_1} {S : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S]
{A : Subalgebra R S} (x : R) (a : ↥A), A.rTensorBot (a ⊗ₜ[R] (algebraMap R ↥⊥) x) = x • a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- RingHomstatement · cited by 10,189
- Bot.botstatement · cited by 4,720
- Algebra.algebraMapstatement · cited by 4,706
- TensorProductstatement · cited by 2,545
- AlgEquivstatement · cited by 1,681
- Subalgebrastatement and proof · cited by 1,353
- TensorProduct.tmulstatement · cited by 1,182
- Subalgebra.rTensorBotstatement · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.