Theorems · Theorem · group theory
AddSubgroup.rank_congr
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G} [inst_1 : AddGroup.FG ↥H] [inst_2 : AddGroup.FG ↥K],
H = K → AddGroup.rank ↥H = AddGroup.rank ↥K- Defined in
- Mathlib.GroupTheory.Rank
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddGroup.FGstatement and proof · cited by 37
- AddGroup.rankstatement and proof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.rank_closure_finite_le_nat_cardproof · cited by 0