Theorems · Theorem · functional analysis
mem_nullSubgroup_iff
∀ {M : Type u_1} [inst : SeminormedCommGroup M] {x : M}, x ∈ nullSubgroup M ↔ ‖x‖ = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedCommGroup
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 · cited by 25,697
- Norm.normstatement · cited by 5,413
- Subgroupstatement · cited by 3,593
- SeminormedCommGroupstatement and proof · cited by 191
- nullSubgroupstatement · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.