Theorems · Theorem · commutative algebra
Algebra.TensorProduct.includeLeftRingHom_comp_algebraMap
∀ {R : Type uR} {A : Type uA} {B : Type uB} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
[inst_3 : Semiring B] [inst_4 : Algebra R B],
Algebra.TensorProduct.includeLeftRingHom.comp (algebraMap R A) =
Algebra.TensorProduct.includeRight.comp (algebraMap R B)- Defined in
- Mathlib.RingTheory.TensorProduct.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement and proof · cited by 4,706
- TensorProductstatement · cited by 2,545
- TensorProduct.tmulproof · cited by 1,182
- RingHom.compstatement · cited by 899
- AlgHom.toRingHomstatement · cited by 490
- RingHom.extproof · cited by 331
- Algebra.TensorProduct.includeRightstatement and proof · cited by 165
Cited by2
Results whose statement or proof uses this declaration.
- PrimeSpectrum.nontrivial_iff_mem_rangeComapproof · cited by 1
- IsIntegral.tmulproof · cited by 0