Theorems · Theorem · functional analysis
NormedAddGroupHom.extension_coe
∀ {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) (v : G), f.extension ↑v = f v- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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 · cited by 192
- T0Spacestatement and proof · cited by 179
- UniformSpace.Completion.coe'statement · cited by 144
- NormedAddGroupHom.toAddMonoidHomproof · cited by 13
- NormedAddGroupHom.continuousproof · cited by 4
- NormedAddGroupHom.extensionstatement · cited by 4
- AddMonoidHom.extension_coeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SemiNormedGrp.completion.lift_comp_inclproof · cited by 0