Theorems · Theorem · commutative algebra
Subalgebra.fg_of_fg_toSubmodule
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] {S : Subalgebra R A},
(Subalgebra.toSubmodule S).FG → S.FG- Defined in
- Mathlib.RingTheory.Adjoin.FG
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by1
Results whose statement or proof uses this declaration.
- Subalgebra.fg_of_noetherianproof · cited by 2