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Theorems · Theorem · group theory

QuotientAddGroup.con_ker_eq_addConKer

∀ {G : Type u_1} {M : Type u_4} [inst : AddGroup G] [inst_1 : AddMonoid M] (f : G →+ M),
  QuotientAddGroup.con f.ker = AddCon.ker f

The additive congruence relation defined by the kernel of an additive group homomorphism is equal to its kernel as an additive congruence relation.

Defined in
Mathlib.GroupTheory.QuotientGroup.Defs
Cited by
0 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddMonoid

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