QuotientAddGroup.norm_mk

∀ {M : Type u_1} [inst : SeminormedAddCommGroup M] {S : AddSubgroup M} (x : M), ‖↑x‖ = Metric.infDist x ↑S

An alternative definition of the norm on the quotient group: the norm of ((x : M) : M ⧸ S) is equal to the distance from x to S.

Defined in: Mathlib.Analysis.Normed.Group.Quotient
Cited by: 2 results in Mathlib
Foundations: Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: SeminormedAddCommGroup

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