Mathlib Map

Theorems · Theorem · group theory

ZeroHomClass.map_zero

∀ {F : Type u_10} {M : outParam (Type u_11)} {N : outParam (Type u_12)} {inst : Zero M} {inst_1 : Zero N}
  {inst_2 : FunLike F M N} [self : ZeroHomClass F M N] (f : F), f 0 = 0

The proposition that the function preserves 0

Defined in
Mathlib.Algebra.Group.Hom.Defs
Cited by
5 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
ZeroHomClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

map_zero · cited by 1614map_zeroZeroHomClass.toZeroHom · cited by 3ZeroHomClass.toZeroHomZeroHomClass.bound_of_antilipschitz · cited by 2ZeroHomClass.bound_of_ant…HahnSeries.support_map_subset · cited by 2HahnSeries.support_map_su…NeZero.of_map · cited by 1NeZero.of_mapNeZero.of_injective · cited by 0NeZero.of_injectiveDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeZeroHomClass · cited by 74ZeroHomClassZeroHomClass.map_zeroCITED BYCITES

Cites3

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Cited by6

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