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Theorems · Theorem · group theory

MonoidWithZeroHom.cancel_left

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : MulZeroOneClass α] [inst_1 : MulZeroOneClass β]
  [inst_2 : MulZeroOneClass γ] {g : β →*₀ γ} {f₁ f₂ : α →*₀ β},
  Function.Injective ⇑g → (g.comp f₁ = g.comp f₂ ↔ f₁ = f₂)
Defined in
Mathlib.Algebra.GroupWithZero.Hom
Cited by
0 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
MulZeroOneClassMulZeroOneClassMulZeroOneClass
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DFunLike.coe · cited by 62936DFunLike.coeMonoidWithZeroHom · cited by 704MonoidWithZeroHomMulZeroOneClass · cited by 184MulZeroOneClassMonoidWithZeroHom.comp · cited by 34MonoidWithZeroHom.compMonoidWithZeroHom.ext · cited by 15MonoidWithZeroHom.extMonoidWithZeroHom.comp_apply · cited by 3MonoidWithZeroHom.comp_ap…MonoidWithZeroHom.cancel_leftCITED BYCITES

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