Theorems · Theorem · ring theory
Subalgebra.inclusion.isScalarTower_right
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] {S T : Subalgebra R A}
(h : S ≤ T) (X : Type u_1) [inst_3 : MulAction A X], IsScalarTower (↥S) (↥T) X- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
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.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
- IsScalarTowerstatement · cited by 3,896
- Subalgebrastatement and proof · cited by 1,353
- MulActionstatement and proof · cited by 1,294
- AlgHom.toRingHomstatement and proof · cited by 490
- SemigroupAction.mul_smulproof · cited by 291
- Subalgebra.inclusionstatement and proof · cited by 36
- MonoidWithZeroHom.toZeroHomproof · cited by 35
- RingHom.toMonoidWithZeroHomproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- IsIntegrallyClosed.iInfproof · cited by 0