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Theorems · Theorem · group theory

AddGroup.fg_of_surjective

∀ {G : Type u_3} [inst : AddGroup G] {G' : Type u_5} [inst_1 : AddGroup G'] [hG : AddGroup.FG G] {f : G →+ G'},
  Function.Surjective ⇑f → AddGroup.FG G'
Defined in
Mathlib.GroupTheory.Finiteness
Cited by
2 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddGroupAddGroup.FG
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Around this declaration

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AddGroup.fg_iff_exists_freeAddGroup_hom_surjective · cited by 1AddGroup.fg_iff_exists_fr…AddGroup.fg_iff_exists_freeAddGroup_hom_surjective_finite · cited by 0AddGroup.fg_iff_exists_fr…DFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomAddGroup.FG · cited by 37AddGroup.FGAddMonoid.fg_of_surjective · cited by 3AddMonoid.fg_of_surjectiveAddGroup.fg_iff_addMonoid_fg · cited by 2AddGroup.fg_iff_addMonoid…AddGroup.fg_of_surjectiveCITED BYCITES

Cites6

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Cited by2

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