Theorems · Theorem · commutative algebra
Subalgebra.fg_of_submodule_fg
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A], ⊤.FG → ⊤.FG- Defined in
- Mathlib.RingTheory.Adjoin.FG
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 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.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finsetproof · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Submodulestatement and proof · cited by 7,192
- Submodule.spanproof · cited by 1,504
- Subalgebrastatement · cited by 1,353
- Algebra.adjoinproof · cited by 535
- eq_top_iffproof · cited by 236
Cited by1
Results whose statement or proof uses this declaration.
- fg_of_fg_of_fgproof · cited by 0