Theorems · Theorem · functional analysis
NormedAddGroupHom.ext
∀ {V₁ : Type u_2} {V₂ : Type u_3} [inst : SeminormedAddCommGroup V₁] [inst_1 : SeminormedAddCommGroup V₂]
{f g : NormedAddGroupHom V₁ V₂}, (∀ (x : V₁), f x = g x) → f = g- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- NormedAddGroupHomstatement and proof · cited by 216
- NormedAddGroupHom.coe_injproof · cited by 4
Cited by18
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.comp_assocproof · cited by 1
- NormedAddGroupHom.Equalizer.ι_comp_liftproof · cited by 1
- NormedAddGroupHom.extension_uniqueproof · cited by 1
- NormedAddGroupHom.ker.incl_comp_liftproof · cited by 0
- NormedAddGroupHom.zero_compproof · cited by 0
- NormedAddGroupHom.lift_uniqueproof · cited by 0
- SemiNormedGrp₁.isZero_of_subsingletonproof · cited by 0
- NormedAddGroupHom.Equalizer.comp_ι_eqproof · cited by 0
- NormedAddGroupHom.comp_zeroproof · cited by 0
- SemiNormedGrp.isZero_of_subsingletonproof · cited by 0
- SeparationQuotient.normedMk_eq_zero_iffproof · cited by 0
- NormedAddGroupHom.Equalizer.map_comp_mapproof · cited by 0