Theorems · Theorem · group theory
AddMonoidHom.addSubmonoidComap_surjective_of_surjective
∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] (f : M →+ N) (N' : AddSubmonoid N),
Function.Surjective ⇑f → Function.Surjective ⇑(f.addSubmonoidComap N')- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- AddZeroClassAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement and proof · cited by 1,178
- Subtype.val_injectiveproof · cited by 232
- AddSubmonoid.comapstatement · cited by 62
- AddSubmonoid.mem_comapproof · cited by 8
- AddMonoidHom.addSubmonoidComapstatement and proof · cited by 2
- AddMonoidHom.addSubmonoidComap_apply_coeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.addSubgroupComap_surjective_of_surjectiveproof · cited by 0