Theorems · Definition · functional analysis
GroupNorm.toNormedCommGroup
{E : Type u_5} → [inst : CommGroup E] → GroupNorm E → NormedCommGroup EConstruct a normed group from a norm, i.e., registering the distance and the metric space
structure from the norm properties. Note that in most cases this instance creates bad definitional
equalities (e.g., it does not take into account a possibly existing UniformSpace instance on
E).
- Defined in
- Mathlib.Analysis.Normed.Group.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
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.
- CommGroupstatement and proof · cited by 990
- NormedGroupproof · cited by 18
- GroupNormstatement and proof · cited by 15
- NormedCommGroupstatement · cited by 8
- NormedGroup.dist_eqproof · cited by 0
- GroupNorm.toNormedGroupproof · cited by 0
Cited by0
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