Theorems · Theorem · commutative algebra
Algebra.Generators.finiteType
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {α : Type u_2} [Finite α]
(P : Algebra.Generators R S α), Algebra.FiniteType R S- Defined in
- Mathlib.RingTheory.Extension.Generators
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Finitestatement and proof · cited by 3,029
- IsScalarTower.toAlgHomproof · cited by 232
- Algebra.Generatorsstatement and proof · cited by 152
- Algebra.Generators.Ringproof · cited by 133
- Algebra.FiniteTypestatement · cited by 84
- Algebra.FiniteType.of_surjectiveproof · cited by 11
- Algebra.Generators.algebraMap_surjectiveproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.FiniteType.iff_exists_generatorsproof · cited by 1