Theorems · Definition · functional analysis
SeparationQuotient.normedMk
{M : Type u_1} → [inst : SeminormedAddCommGroup M] → NormedAddGroupHom M (SeparationQuotient M)The morphism from a seminormed group to the quotient by the inseparable setoid.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 167 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomproof · cited by 3,230
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedAddGroupHomstatement · cited by 216
- SeparationQuotientstatement and proof · cited by 128
- ZeroHom.toFunproof · cited by 101
- AddMonoidHom.toZeroHomproof · cited by 61
- SeparationQuotient.mkAddMonoidHomproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- SeparationQuotient.normedMk_applystatement and proof · cited by 3
- SeparationQuotient.liftNormedAddGroupHomEquivproof · cited by 2
- SeparationQuotient.norm_normedMk_eq_onestatement and proof · cited by 0
- SeparationQuotient.norm_normedMk_lestatement and proof · cited by 0
- SeparationQuotient.normedMk_eq_zero_iffstatement and proof · cited by 0
- SeparationQuotient.liftNormedAddGroupHomEquiv_symm_apply_coestatement · cited by 0