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Theorems · Theorem · group theory

NeZero.of_injective

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : Zero α] [inst_1 : Zero β] [inst_2 : FunLike F α β]
  [ZeroHomClass F α β] {a : α} {f : F}, Function.Injective ⇑f → ∀ [NeZero a], NeZero (f a)
Defined in
Mathlib.Algebra.GroupWithZero.Hom
Cited by
0 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
ZeroZeroFunLikeZeroHomClassNeZero
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DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeZeroHomClass · cited by 74ZeroHomClassZeroHomClass.map_zero · cited by 5ZeroHomClass.map_zeroNeZero.of_injectiveCITED BYCITES

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