Theorems · Theorem · commutative algebra
Subalgebra.fg_bot_toSubmodule
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A],
(Subalgebra.toSubmodule ⊥).FG- Defined in
- Mathlib.RingTheory.Finiteness.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement · cited by 7,192
- Bot.botstatement · cited by 4,720
- Submodule.spanproof · cited by 1,504
- Subalgebrastatement · cited by 1,353
- OrderEmbeddingstatement · cited by 619
- Submodule.FGstatement · cited by 230
- Finset.coe_singletonproof · cited by 145
- Subalgebra.toSubmodulestatement · cited by 141
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