Theorems · Inductive type · functional analysis
ESeminormedCommMonoid
(E : Type u_8) → [TopologicalSpace E] → Type u_8
An e-seminormed commutative monoid is a commutative monoid endowed with a continuous enorm.
- Defined in
- Mathlib.Analysis.Normed.Group.Defs
- Cited by
- 4 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 by15
Results whose statement or proof uses this declaration.
- enorm_prod_lestatement and proof · cited by 1
- ENormedCommMonoid.mk.noConfusionstatement and proof · cited by 0
- ESeminormedCommMonoid.mk.noConfusionstatement · cited by 0
- ESeminormedCommMonoid.casesOnstatement and proof · cited by 0
- ESeminormedCommMonoid.ctorIdxstatement and proof · cited by 0
- ESeminormedCommMonoid.mul_commstatement and proof · cited by 0
- ESeminormedCommMonoid.noConfusionstatement and proof · cited by 0
- ESeminormedCommMonoid.noConfusionTypestatement and proof · cited by 0
- ESeminormedCommMonoid.recOnstatement and proof · cited by 0
- enorm_multisetProd_lestatement and proof · cited by 0
- ENormedCommMonoid.casesOnstatement and proof · cited by 0
- ENormedCommMonoid.noConfusionproof · cited by 0