Theorems · Theorem · commutative algebra
Algebra.FiniteType.equiv
∀ {R : Type uR} {A : Type uA} {B : Type uB} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B], Algebra.FiniteType R A → ∀ (e : A ≃ₐ[R] B), Algebra.FiniteType R B- Defined in
- Mathlib.RingTheory.FiniteType
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgEquivstatement and proof · cited by 1,681
- AlgEquiv.toAlgHomproof · cited by 273
- Algebra.FiniteTypestatement and proof · cited by 84
- AlgEquiv.surjectiveproof · cited by 48
- Algebra.FiniteType.of_surjectiveproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- RingHom.finiteType_respectsIsoproof · cited by 4
- MonoidAlgebra.finiteType_iff_fgproof · cited by 2
- Algebra.Unramified.of_equivproof · cited by 0