Mathlib Map

Theorems · Theorem · group theory

Subgroup.map_equiv_top

∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] {F : Type u_7} [inst_2 : EquivLike F G N]
  [inst_3 : MulEquivClass F G N] (f : F), Subgroup.map ↑f ⊤ = ⊤
Defined in
Mathlib.Algebra.Group.Subgroup.Map
Cited by
1 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroupEquivLikeMulEquivClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

alternatingGroup.kleinFour_eq_commutator · cited by 0alternatingGroup.kleinFou…Top.top · cited by 9680Top.topGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.map · cited by 301Subgroup.mapMonoidHomClass.toMonoidHom · cited by 294MonoidHomClass.toMonoidHomEquivLike · cited by 165EquivLikeMulEquivClass · cited by 30MulEquivClassEquivLike.surjective · cited by 24EquivLike.surjectiveSubgroup.map_top_of_surjective · cited by 7Subgroup.map_top_of_surje…Subgroup.map_equiv_topCITED BYCITES

Cites9

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.