Mathlib Map

Theorems · Theorem · group theory

Group.IsPerfect.range

∀ {G : Type u_1} {G' : Type u_2} [inst : Group G] [inst_1 : Group G'] (f : G →* G') [Group.IsPerfect G],
  Group.IsPerfect ↥f.range
Defined in
Mathlib.GroupTheory.IsPerfect
Cited by
1 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroupGroup.IsPerfect
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Group.IsPerfect.ofSurjective · cited by 0IsPerfect.ofSurjectiveGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593SubgroupMonoidHom.range · cited by 314MonoidHom.rangeMonoidHom.range_eq_map · cited by 37MonoidHom.range_eq_mapGroup.IsPerfect · cited by 17Group.IsPerfectGroup.IsPerfect.map · cited by 1IsPerfect.mapIsPerfect.rangeCITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.