Mathlib Map

Theorems · Definition · functional analysis

NormedAddGroupHom.toFun

{V : Type u_1} →
  {W : Type u_2} →
    [inst : SeminormedAddCommGroup V] → [inst_1 : SeminormedAddCommGroup W] → NormedAddGroupHom V W → V → W

The function underlying a NormedAddGroupHom

Defined in
Mathlib.Analysis.Normed.Group.Hom
Cited by
5 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
SeminormedAddCommGroupSeminormedAddCommGroup
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Around this declaration

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

NormedAddGroupHom.bound · cited by 2NormedAddGroupHom.boundNormedAddGroupHom.bound' · cited by 1NormedAddGroupHom.bound'NormedAddGroupHom.coe_injective · cited by 0NormedAddGroupHom.coe_inj…NormedAddGroupHom.map_add' · cited by 0NormedAddGroupHom.map_add'NormedAddGroupHom.toFun_eq_coe · cited by 0NormedAddGroupHom.toFun_e…SeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedAddGroupHom · cited by 216NormedAddGroupHomNormedAddGroupHom.toFunCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.