Theorems · Inductive type · functional analysis
ENormedAddMonoid
(E : Type u_8) → [TopologicalSpace E] → Type u_8
An enormed monoid is an additive monoid endowed with a continuous enorm,
which is positive definite: in other words, this is an ESeminormedAddMonoid with a positive
definiteness condition added.
- Defined in
- Mathlib.Analysis.Normed.Group.Defs
- Cited by
- 67 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
Cited by74
Results whose statement or proof uses this declaration.
- IntervalIntegrablestatement and proof · cited by 316
- intervalIntegrable_iffstatement and proof · cited by 29
- IntervalIntegrable.symmstatement and proof · cited by 24
- intervalIntegrable_iff_integrableOn_Ioc_of_lestatement and proof · cited by 21
- IntervalIntegrable.transstatement and proof · cited by 15
- IntervalIntegrable.def'statement and proof · cited by 14
- intervalIntegrable_iff_integrableOn_Icc_of_lestatement and proof · cited by 11
- MeasureTheory.integrableOn_iff_integrable_of_support_subsetstatement and proof · cited by 10
- IntervalIntegrable.addstatement and proof · cited by 10
- IntervalIntegrable.comp_mul_leftstatement and proof · cited by 6
- IntervalIntegrable.congr_aestatement and proof · cited by 6
- IntervalIntegrable.comp_add_rightstatement and proof · cited by 6