Theorems · Definition · functional analysis
nullSubgroup
(M : Type u_1) → [inst : SeminormedCommGroup M] → Subgroup M
The null subgroup with respect to the norm.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 114 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- Norm.normproof · cited by 5,413
- Subgroupstatement · cited by 3,593
- SeminormedCommGroupstatement and proof · cited by 191
Cited by2
Results whose statement or proof uses this declaration.
- isClosed_nullSubgroupstatement · cited by 0
- mem_nullSubgroup_iffstatement · cited by 0