Theorems · Theorem · functional analysis
AddSubgroup.ker_normedMk
∀ {M : Type u_1} [inst : SeminormedAddCommGroup M] (S : AddSubgroup M), S.normedMk.ker = SThe kernel of S.normedMk is S.
- Defined in
- Mathlib.Analysis.Normed.Group.Quotient
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
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.
- AddSubgroupstatement and proof · cited by 3,232
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- HasQuotient.Quotientstatement · cited by 2,301
- NormedAddGroupHom.kerstatement · cited by 14
- QuotientAddGroup.ker_mk'proof · cited by 13
- AddSubgroup.normedMkstatement · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- NormedAddGroupHom.isQuotientQuotientproof · cited by 1
- AddSubgroup.norm_trivial_quotient_mkproof · cited by 0