Mathlib Map

Theorems · Theorem · group theory

Subgroup.rank_congr

∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G} [inst_1 : Group.FG ↥H] [inst_2 : Group.FG ↥K],
  H = K → Group.rank ↥H = Group.rank ↥K
Defined in
Mathlib.GroupTheory.Rank
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroup.FGGroup.FG
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Subgroup.rank_closure_finite_le_nat_card · cited by 2Subgroup.rank_closure_fin…Subgroup.rank_commutator_le_card · cited by 1Subgroup.rank_commutator_…Group · cited by 6238GroupSubgroup · cited by 3593SubgroupGroup.FG · cited by 40Group.FGGroup.rank · cited by 20Group.rankSubgroup.rank_congrCITED BYCITES

Cites4

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

  • Groupstatement and proof · cited by 6,238
  • Subgroupstatement and proof · cited by 3,593
  • Group.FGstatement and proof · cited by 40
  • Group.rankstatement and proof · cited by 20

Cited by2

Results whose statement or proof uses this declaration.