QuotientAddGroup.exists_norm_add_lt

∀ {M : Type u_1} [inst : SeminormedAddCommGroup M] (S : AddSubgroup M) (m : M) {ε : ℝ},
  0 < ε → ∃ s ∈ S, ‖m + s‖ < ‖(QuotientAddGroup.mk' S) m‖ + ε

For any m : M and any 0 < ε, there is s ∈ S such that ‖m + s‖ < ‖mk' S m‖ + ε.

Defined in: Mathlib.Analysis.Normed.Group.Quotient
Cited by: 0 results in Mathlib
Foundations: Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: SeminormedAddCommGroup

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