Theorems · Theorem · functional analysis
NormedAddGroupHom.continuous
∀ {V₁ : Type u_2} {V₂ : Type u_3} [inst : SeminormedAddCommGroup V₁] [inst_1 : SeminormedAddCommGroup V₂]
(f : NormedAddGroupHom V₁ V₂), Continuous ⇑f- Defined in
- Mathlib.Analysis.Normed.Group.Hom
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Continuousstatement · cited by 2,592
- NormedAddGroupHomstatement and proof · cited by 216
- UniformContinuous.continuousproof · cited by 66
- NormedAddGroupHom.uniformContinuousproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.completionproof · cited by 15
- NormedAddGroupHom.extensionproof · cited by 4
- NormedAddGroupHom.norm_completionproof · cited by 2
- controlled_closure_of_completeproof · cited by 1
- NormedAddGroupHom.isClosed_kerproof · cited by 1
- NormedAddGroupHom.extension_coeproof · cited by 1