Theorems · Theorem · order theory
AddSubgroup.toIntSubmodule_toAddSubgroup
∀ {M : Type u_3} [inst : AddCommGroup M] (S : AddSubgroup M), (AddSubgroup.toIntSubmodule S).toAddSubgroup = S- Defined in
- Mathlib.Algebra.Module.Submodule.Lattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- Submodulestatement · cited by 7,192
- AddSubgroupstatement and proof · cited by 3,232
- OrderIsostatement · cited by 874
- Submodule.toAddSubgroupstatement · cited by 106
- OrderIso.symm_apply_applyproof · cited by 41
- AddSubgroup.toIntSubmodulestatement and proof · cited by 25
Cited by2
Results whose statement or proof uses this declaration.
- Submodule.fg_toAddSubgroupproof · cited by 1
- AddSubgroup.fg_iff_exists_fin_addMonoidHomproof · cited by 0