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Theorems · Theorem · group theory

MonoidWithZeroHom.cancel_right

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : MulZeroOneClass α] [inst_1 : MulZeroOneClass β]
  [inst_2 : MulZeroOneClass γ] {g₁ g₂ : β →*₀ γ} {f : α →*₀ β},
  Function.Surjective ⇑f → (g₁.comp f = g₂.comp f ↔ g₁ = g₂)
Defined in
Mathlib.Algebra.GroupWithZero.Hom
Cited by
0 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
Assumes
MulZeroOneClassMulZeroOneClassMulZeroOneClass
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DFunLike.coe · cited by 62936DFunLike.coeMonoidWithZeroHom · cited by 704MonoidWithZeroHomFunction.Surjective.forall · cited by 214Surjective.forallMulZeroOneClass · cited by 184MulZeroOneClassDFunLike.ext_iff · cited by 102DFunLike.ext_iffMonoidWithZeroHom.comp · cited by 34MonoidWithZeroHom.compMonoidWithZeroHom.ext · cited by 15MonoidWithZeroHom.extMonoidWithZeroHom.cancel_rightCITED BYCITES

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