Theorems · Theorem · commutative algebra
Algebra.QuasiFinite.of_restrictScalars
∀ (R : Type u_1) (S : Type u_2) (T : Type u_3) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T] [inst_3 : Algebra R S] [inst_4 : Algebra R T] [inst_5 : Algebra S T] [IsScalarTower R S T] [Algebra.QuasiFinite R T], Algebra.QuasiFinite S T
- Defined in
- Mathlib.RingTheory.QuasiFinite.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Submoduleproof · cited by 7,192
- Set.ofPredproof · cited by 6,101
- Idealproof · cited by 4,748
- IsScalarTowerstatement and proof · cited by 3,896
- mul_oneproof · cited by 3,885
- AlgHomproof · cited by 3,236
- one_mulproof · cited by 2,841
- TensorProductproof · cited by 2,545
- TensorProduct.tmulproof · cited by 1,182
Cited by3
Results whose statement or proof uses this declaration.
- RingHom.QuasiFinite.of_compproof · cited by 4
- AlgebraicGeometry.Scheme.Hom.quasiFiniteAt_iff_isOpen_singleton_asFiberproof · cited by 2
- Algebra.WeaklyQuasiFiniteAt.of_restrictScalarsproof · cited by 1