Theorems · Theorem · group theory
AddMonoidHom.mem_mker
∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] {F : Type u_4}
[inst_2 : FunLike F M N] [mc : AddMonoidHomClass F M N] {f : F} {x : M}, x ∈ AddMonoidHom.mker f ↔ f x = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- AddMonoidHomClassstatement and proof · cited by 252
- AddMonoidHom.mkerstatement · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- AddMonoidHom.ker_eq_top_iffproof · cited by 2
- AddMonoidHom.mker_inrproof · cited by 1
- AddMonoidHom.mker_inlproof · cited by 1
- AddMonoidHom.mker_zeroproof · cited by 0