Theorems · Theorem · linear algebra
Finsupp.Countable.of_moduleFinite
∀ {M : Type u_1} {R : Type u_2} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] [Countable R]
[Module.Finite R M], Countable M- Defined in
- Mathlib.LinearAlgebra.Countable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Top.topproof · cited by 9,680
- Submoduleproof · cited by 7,192
- Set.rangeproof · cited by 4,705
- Submodule.spanproof · cited by 1,504
- Module.Finitestatement and proof · cited by 1,032
- Countablestatement and proof · cited by 633
- Set.countable_univ_iffproof · cited by 5
- Module.Finite.exists_finproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.Uncountable.of_moduleFiniteproof · cited by 0