Mathlib Map

Theorems · Theorem · group theory

AddCommGroup.freeRank_congr

∀ {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), AddCommGroup.freeRank G = AddCommGroup.freeRank H
Defined in
Mathlib.GroupTheory.Torsion
Cited by
0 results in Mathlib
Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupAddCommGroupAddGroup.FGAddGroup.FG
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddCommGroup · cited by 12871AddCommGroupAddEquiv · cited by 1087AddEquivAddGroup.FG · cited by 37AddGroup.FGAddCommGroup.torsion · cited by 18AddCommGroup.torsionAddCommGroup.freeRank · cited by 6AddCommGroup.freeRankQuotientAddGroup.congr · cited by 4QuotientAddGroup.congrAddEquiv.map_torsion · cited by 1AddEquiv.map_torsionAddGroup.rank_congr · cited by 1AddGroup.rank_congrAddCommGroup.freeRank_congrCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.