Mathlib Map

Theorems · Theorem · order theory

GroupSeminormClass.map_one_eq_zero

∀ {F : Type u_7} {α : outParam (Type u_8)} {β : outParam (Type u_9)} {inst : Group α} {inst_1 : AddCommMonoid β}
  {inst_2 : PartialOrder β} {inst_3 : FunLike F α β} [self : GroupSeminormClass F α β] (f : F), f 1 = 0

The image of one is zero.

Defined in
Mathlib.Algebra.Order.Hom.Basic
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext
Assumes
GroupSeminormClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

map_eq_zero_iff_eq_one · cited by 1map_eq_zero_iff_eq_oneGroupSeminorm.comp_zero · cited by 0GroupSeminorm.comp_zeroDFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidPartialOrder · cited by 6410PartialOrderGroup · cited by 6238GroupFunLike · cited by 2560FunLikeGroupSeminormClass · cited by 9GroupSeminormClassGroupSeminormClass.map_one_eq…CITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.