Theorems · Theorem · functional analysis
NormedAddGroupHom.IsQuotient.norm_lift
∀ {M : Type u_1} {N : Type u_2} [inst : SeminormedAddCommGroup M] [inst_1 : SeminormedAddCommGroup N]
{f : NormedAddGroupHom M N}, f.IsQuotient → ∀ {ε : ℝ}, 0 < ε → ∀ (n : N), ∃ m, f m = n ∧ ‖m‖ < ‖n‖ + ε- Defined in
- Mathlib.Analysis.Normed.Group.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
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