Theorems · Theorem · group theory
AddCommGroup.freeRank_ge_of_surjective
∀ {G : Type u_1} {H : Type u_2} [inst : AddCommGroup G] [inst_1 : AddCommGroup H] [inst_2 : AddGroup.FG G]
[inst_3 : AddGroup.FG H] (e : G →+ H), Function.Surjective ⇑e → AddCommGroup.freeRank H ≤ AddCommGroup.freeRank G- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 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.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- AddMonoidHomstatement and proof · cited by 3,230
- AddGroup.FGstatement and proof · cited by 37
- AddCommGroup.torsionproof · cited by 18
- QuotientAddGroup.mk_surjectiveproof · cited by 11
- QuotientAddGroup.mapproof · cited by 10
- AddCommGroup.freeRankstatement · cited by 6
- AddGroup.rank_le_of_surjectiveproof · cited by 3
- AddCommGroup.le_comap_torsionproof · cited by 2
- QuotientAddGroup.map_surjective_of_surjectiveproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.