Theorems · Theorem · functional analysis
SeparationQuotient.normedMk_apply
∀ {M : Type u_1} [inst : SeminormedAddCommGroup M] (a : M),
SeparationQuotient.normedMk a = (↑SeparationQuotient.mkAddMonoidHom).toFun a- Cited by
- 3 results in Mathlib
- Foundations
- Depth 168 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedAddGroupHomstatement · cited by 216
- SeparationQuotientstatement · cited by 128
- ZeroHom.toFunstatement · cited by 101
- AddMonoidHom.toZeroHomstatement · cited by 61
- SeparationQuotient.normedMkstatement and proof · cited by 5
- SeparationQuotient.mkAddMonoidHomstatement · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- SeparationQuotient.norm_normedMk_eq_oneproof · cited by 0
- SeparationQuotient.norm_normedMk_leproof · cited by 0
- SeparationQuotient.normedMk_eq_zero_iffproof · cited by 0