Theorems · Theorem · group theory
AddMonoidHom.addSubgroupComap_surjective_of_surjective
∀ {G : Type u_1} {G' : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup G'] (f : G →+ G') (H' : AddSubgroup G'),
Function.Surjective ⇑f → Function.Surjective ⇑(f.addSubgroupComap H')- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
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Cites8
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubgroup.comapstatement · cited by 123
- AddSubgroup.toAddSubmonoidproof · cited by 91
- AddMonoidHom.addSubgroupComapstatement · cited by 2
- AddMonoidHom.addSubmonoidComap_surjective_of_surjectiveproof · cited by 1
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