Theorems · Definition · functional analysis
AddGroupNormClass.toNormedAddCommGroup
{F : Type u_1} →
{α : Type u_2} →
[inst : FunLike F α ℝ] → [inst_1 : AddCommGroup α] → [AddGroupNormClass F α ℝ] → F → NormedAddCommGroup αConstructs a NormedAddCommGroup structure from an AddGroupNormClass on an
AddCommGroup.
- Defined in
- Mathlib.Analysis.Normed.Order.Hom.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 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
- NormedAddCommGroupstatement · cited by 15,752
- AddCommGroupstatement and proof · cited by 12,871
- FunLikestatement and proof · cited by 2,560
- NormedAddGroupproof · cited by 32
- AddGroupNormClassstatement and proof · cited by 6
- AddGroupNormClass.toNormedAddGroupproof · cited by 1
- NormedAddGroup.dist_eqproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- AddGroupNormClass.toNormedAddCommGroup_norm_eqstatement · cited by 0