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Theorems · Theorem · functional analysis

NormedAddGroupHom.mem_range

∀ {V₁ : Type u_3} {V₂ : Type u_4} [inst : SeminormedAddCommGroup V₁] [inst_1 : SeminormedAddCommGroup V₂]
  (f : NormedAddGroupHom V₁ V₂) (v : V₂), v ∈ f.range ↔ ∃ w, f w = v
Defined in
Mathlib.Analysis.Normed.Group.Hom
Cited by
1 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupSeminormedAddCommGroup
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Around this declaration

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controlled_closure_range_of_complete · cited by 0controlled_closure_range_…DFunLike.coe · cited by 62936DFunLike.coeAddSubgroup · cited by 3232AddSubgroupSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedAddGroupHom · cited by 216NormedAddGroupHomNormedAddGroupHom.range · cited by 11NormedAddGroupHom.rangeNormedAddGroupHom.mem_rangeCITED BYCITES

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Cited by1

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