Theorems · Theorem · functional analysis
NormedAddGroupHom.extension_unique
∀ {G : Type u_1} [inst : SeminormedAddCommGroup G] {H : Type u_2} [inst_1 : SeminormedAddCommGroup H]
[inst_2 : T0Space H] [inst_3 : CompleteSpace H] (f : NormedAddGroupHom G H)
{g : NormedAddGroupHom (UniformSpace.Completion G) H}, (∀ (v : G), f v = g ↑v) → f.extension = g- Cited by
- 1 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- CompleteSpacestatement and proof · cited by 2,532
- NormedAddGroupHomstatement and proof · cited by 216
- UniformSpace.Completionstatement and proof · cited by 192
- T0Spacestatement and proof · cited by 179
- UniformSpace.Completion.coe'statement and proof · cited by 144
- NormedAddGroupHom.extproof · cited by 18
- NormedAddGroupHom.uniformContinuousproof · cited by 4
- NormedAddGroupHom.extensionstatement · cited by 4
- UniformSpace.Completion.extension_uniqueproof · cited by 3
- NormedAddGroupHom.extension_coe_to_funproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SemiNormedGrp.completion.lift_uniqueproof · cited by 0