MonoidHom.ker_eq_bot_of_cancel

∀ {A : Type u} {B : Type v} [inst : Group A] [inst_1 : Group B] {f : A →* B},
  (∀ (u v : ↥f.ker →* A), f.comp u = f.comp v → u = v) → f.ker = ⊥

Defined in: Mathlib.Algebra.Category.Grp.EpiMono
Cited by: 2 results in Mathlib
Foundations: Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group Group

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