Theorems · Theorem · group theory
AddMonoidHom.range_zero
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N], AddMonoidHom.range 0 = ⊥- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Bot.botstatement · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- AddMonoidHom.rangestatement · cited by 142
- SetLike.extproof · cited by 92
- AddSubgroup.mem_botproof · cited by 18
- AddMonoidHom.mem_rangeproof · cited by 16
- commproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.ker_eq_bot_of_cancelproof · cited by 2