Theorems · Definition · functional analysis
AddGroupNormClass.toNormedAddGroup
{F : Type u_1} →
{α : Type u_2} → [inst : FunLike F α ℝ] → [inst_1 : AddGroup α] → [AddGroupNormClass F α ℝ] → F → NormedAddGroup αConstructs a NormedAddGroup structure from an AddGroupNormClass on an
AddGroup.
- Defined in
- Mathlib.Analysis.Normed.Order.Hom.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- AddGroupstatement and proof · cited by 4,410
- FunLikestatement and proof · cited by 2,560
- SeminormedAddGroupproof · cited by 331
- NormedAddGroupstatement · cited by 32
- AddGroupNormClassstatement and proof · cited by 6
- SeminormedAddGroup.dist_eqproof · cited by 3
- AddGroupSeminormClass.toSeminormedAddGroupproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AddGroupNormClass.toNormedAddCommGroupproof · cited by 1
- AddGroupNormClass.toNormedAddGroup_norm_eqstatement · cited by 0