Theorems · Definition · functional analysis
AddGroupSeminormClass.toSeminormedAddGroup
{F : Type u_1} →
{α : Type u_2} →
[inst : FunLike F α ℝ] → [inst_1 : AddGroup α] → [AddGroupSeminormClass F α ℝ] → F → SeminormedAddGroup αConstructs a SeminormedAddGroup structure from an AddGroupSeminormClass on an
AddGroup.
- Defined in
- Mathlib.Analysis.Normed.Order.Hom.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- SeminormedAddGroupstatement · cited by 331
- AddGroupSeminormClassstatement and proof · cited by 18
Cited by5
Results whose statement or proof uses this declaration.
- AddGroupSeminormClass.toSeminormedAddCommGroupproof · cited by 1
- AddGroupNormClass.toNormedAddGroupproof · cited by 1
- AddGroupSeminormClass.isUltrametricDiststatement · cited by 0
- AddGroupSeminormClass.toSeminormedAddGroup.congr_simpstatement and proof · cited by 0
- AddGroupSeminormClass.toSeminormedAddGroup_norm_eqstatement · cited by 0