Theorems · Theorem · category theory
Module.Baer.of_divisible
∀ (A : Type u) [inst : AddCommGroup A] [DivisibleBy A ℤ], Module.Baer ℤ A
- Defined in
- Mathlib.Algebra.Category.Grp.Injective
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroupDivisibleBy
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idproof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapproof · cited by 10,215
- Submoduleproof · cited by 7,192
- Idealproof · cited by 4,748
- map_zeroproof · cited by 1,614
- Submodule.spanproof · cited by 1,504
- eq_or_neproof · cited by 1,117
- Submodule.subset_spanproof · cited by 234
- Set.mem_singletonproof · cited by 183
- LinearMap.toSpanSingletonproof · cited by 78
Cited by1
Results whose statement or proof uses this declaration.
- CharacterModule.dual_surjective_of_injectiveproof · cited by 2