Theorems · Theorem · group theory
AddMonoid.fg_of_surjective
∀ {M : Type u_1} [inst : AddMonoid M] {M' : Type u_3} [inst_1 : AddMonoid M'] [AddMonoid.FG M] (f : M →+ M'),
Function.Surjective ⇑f → AddMonoid.FG M'- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- Finsetproof · cited by 13,712
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidproof · cited by 1,178
- Finset.imageproof · cited by 910
- AddSubmonoid.closureproof · cited by 224
- Finset.coe_imageproof · cited by 222
- AddSubmonoid.mapproof · cited by 99
Cited by3
Results whose statement or proof uses this declaration.
- AddGroup.fg_of_surjectiveproof · cited by 2
- AddLocalization.fgproof · cited by 0
- AddMonoid.fg_iff_exists_freeAddGroup_hom_surjective_finiteproof · cited by 0